Marco Gilli

Politecnico di Torino | polito · DET - Department of Electronics and Telecommunications

Frequency domain techniques, like harmonic balance and describing function, are classical methods for studying and designing electronic oscillators and nonlinear microwave circuits. In most applications spectral techniques have been used for determining the steady-state behavior of nonlinear circuits that exhibit a single periodic attractor. On the...

The paper aims at defining a class D of extended memristors by using a combination of fundamental algebraic circuit elements corresponding to ideal memristors and nonlinear resistors. By massaging the characteristics of the constitutive elements, such class D of extended memristors is able to approximate rectifying effects and asymmetric pinched hy...

Since the first experimental evidence for the existence of the memristor in nature, a large number of memristor mathematical models have been proposed in the literature. Among them the generalized Boundary Condition Memristor model sticks out for the adaptability of the dynamics at the boundaries and for the tunability of the nonvolatile behavior....

This paper presents new insights and a review of recent results on the application of phase models to phase noise analysis in nonlinear oscillators. It is shown that an approach based on stochastic processes and the theory of stochastic differential equations offers several advantages. It is also shown that white noise is responsible for phase diff...

Besides being at the core of novel ultra-high density low-power non-volatile memories and innovative pattern recognition systems based upon oscillatory associative and dynamic memories, the nano-scale memristor also has the potential to reproduce the behavior of a biological synapse more efficiently and accurately than any conventional electronic e...

We consider an infinite waveguide supporting a single propagating mode for which the excitation (say the electric or the magnetic field) is assigned in a given section assumed as the origin of the coordinate z along its axis. In steady state the state evolution along z is the solution of the spatial Cauchy problem along such coordinate. As soon as...

A deep study of the nonlinear dynamics of nonlinear circuits with memristors represents a fundamental step towards the development of memristor-based systems for bio-inspired applications and dense nonvolatile memories. A rich variety of complex dynamic behaviors, including chaos, may be observed even in a simple memristor oscillator. This article...

Since the advent of semiconductors, Quantum Mechanics has entered the field of Engineering. Classical Circuit Theory, in its most advanced form, allows the construction of equivalent circuits for quantum processes. Such circuits, beyond providing an intuitive grasp of quantum phenomena, allow an integrated representation of nanodevices interacting...

This paper proposes a simple PSpice implementation of the boundary condition model for memristor nano-structures. The boundary condition model is equivalent to the linear drift model except for the introduction of adaptable boundary conditions, which impose an activation threshold of the state dynamics at the boundaries, i.e. once the state gets cl...

The use of the memristor as a programmable resistance permits the realization of memristor-based analog circuits with flexible features. This work gains some insight on memristor-based filtering applications. Adopting a PSpice implementation of the recently-introduced Boundary Condition Model (BCM) for memristive nanostructures, we analyze basic fi...

A topologically simple memristive-based oscillatory network showing a wide plethora of dynamical behaviors may be a good candidate for the realization of innovative oscillatory associative and dynamic memories for the recognition of spatial–temporal synchronization states. The design of such pattern recognition systems may not leave aside a prelimi...

Synchronization phenomena, frequency shift, and phase noise are often limiting key factors in the performances of oscillators. The perturbation projection method allows characterizing how the oscillator’s output is modified by these disturbances. In this brief, we discuss the appropriate decomposition of perturbations for synchronization and phase...

In 1976 Chua and Kang gave a rigorous definition of the class of memristive systems together with a few examples of passive two-terminal elements classifiable within this class. Much research interest is devoted to discover novel physical systems with memristive behavior. In this Letter we prove that a simple electronic circuit based upon the Graet...

Oscillatory nonlinear networks represent a circuit architecture for image and information processing. It has been shown that they can be exploited to implement associative and dynamic memories. It has also been shown that phase noise play an important role as a limiting key factor for the performances of oscillatory cells. A tool of paramount impor...

In this paper we first present a novel, simple and general boundary condition-based model for nano-scale switching resistances with memory. The boundary conditions are embedded into a switching function modulating the rate of ionic transport, and, on the basis of the memristor under modeling, may be suitably chosen through an optimization procedure...

The design of Memristor Oscillatory Neurocomputers for pattern recognition tasks may not leave aside a preliminary thorough investigation of the nonlinear dynamics of the whole system and its basic components. This chapter yields novel insights into the peculiar nonlinear dynamics of different memristor models. A detailed mathematical treatment aim...

This work presents a novel, simple, accurate and general model capturing the nonlinear dynamics of memristive nano-scale structures including the thin double-layer oxide film manufactured at Hewlett-Packard Labs in 2008. Advantages over other models include ease of analytical integration, existence of closed-form solutions under any input/initial c...

A discrete transmission line model is presented for propagation of quantum particles in crystals. It allows a substantial simplification in calculations, the integration of a quantum description in a classical environment, let alone a useful key for intuitive grasping of quantum aspects.

An ideal memristor with single-valued odd- symmetric charge-flux nonlinearity is extensively proposed for chaos-based applications. However, according to our boundary condition-based memristor model, the nonlinearity of a mem- ristor nano-structure is in general multi-valued with strong de- pendence on input and initial conditions. Nevertheless, pr...

Networks made up of bio-inspired neuron oscilla- tory circuits with nanoscale memristors may achieve the large connectivity and highly parallel processing power of biological systems. Memristor also has potential to reproduce the behavior of a biological synapse. As in a living creature the weight of a synapse is adapted by ionic flow through it, s...

A simple memristor-based oscillatory network has been recently proposed as building block for the realization of associative and dynamic oscillatory memories for spatio-temporal pattern recognition applications. The network was found to experience a gamut of complex dynamic behaviors. A complete picture of the network dynamics requires a preliminar...

The development of nanostructures as components of macroscopic electrical circuits puts into evidence the necessity of providing integrated models of the entire system. The most natural approach is to represent such nanostructures by equivalent circuits to be imbedded in the model of the macroscopic structure. In the paper we discuss to which exten...

A thorough investigation of the nonlinear dynamics of networks of memristor oscillators is a key step towards the design of systems based upon them, such as neuromorphic circuits and dense nonvolatile memories. A wide gamut of complex dynamic behaviors, including chaos, is observed even in a simple network of memristor oscillators, proposed here as...

The design of pattern recognition systems based on memristive oscillatory networks need to include a detailed study of the dynamics of the networks and their basic components. A simple two-cell network of this kind, where each cell is made up of a linear circuitry in parallel with a nonlinear memristive element, was found to experience a rich gamut...

Besides being at the basis of next-generation ultra-dense non-volatile memories, a nanoscale memristor also has the potential to reproduce the behavior of a biological synapse. As in a living creature the weight of a synapse is adapted by the ionic flow through it, so the conductance of a memristor is adjusted by the flux across or the charge throu...

An array of resistively and capacitively shunted Josephson junctions with nonsinusoidal current- phase relation is considered for modelling the resistive transition in high-T_c superconductors. The emergence of higher harmonics, besides the sinusoid I_c sin φ, is expected for dominant d-wave symmetry of the Cooper pairs, random...

The latest many-core chip technology advances foster highly parallel computing systems. Consequently, it is crucial to conceive hardware oriented architectures and to realize VLSI platforms, with kilo- or mega-processors, that are able to process and recognize spatial-temporal patterns without breaking them into frames. Oscillatory networks, their...

Oscillatory networks are a special class of neural networks where each neuron exhibits time periodic behavior. They represent bio-inspired architectures which can be exploited to model biological processes such as the binding problem and selective attention. In most of situations, each neuron is assumed to have a stable limit cycle as the unique at...

Oscillatory nonlinear networks represent a circuit architecture for image and information processing. In particular synchronous and/or entrained states can be exploited for dynamic pattern recognition and to realize associative and dynamic memories. In this chapter we show how the equations governing the dynamical evolution of the network can be re...

The effect of disorder is investigated in granular superconductive materials with strong and weak links. The transition is controlled by the interplay of the \emph{tunneling} $g$ and \emph{intragrain} $g_{intr}$ conductances, which depend on the strength of the intergrain coupling. For $g \ll g_{intr}$, the transition involves first the grain bound...

The progressive reduction in size of electronic components demands more and more a quantum treatment of their internal performance. On the other hand the macroscopic devices in which they are imbedded unavoidably requires a description in terms of macroscopic, usually electromagnetic quantities. The convenience follows of having at one's disposal i...

Phase models represent the ideal framework to investigate the synchronization of a nonlinear oscillator with an external forcing. While many researches focused the attention to their analysis, little work has been done about the reduction of a physical system to the corresponding phase model. In this paper we show how, resorting to averaging techni...

Oscillatory networks, their archetype being the Turing morphogenesis model, are mathematically represented by large systems of ordinary differential equations and provide an appropriate paradigm for describing many spatial-temporal periodic patterns. The aim of this manuscript is to show that locally connected oscillatory networks (oscillatory CNNs...

In order to describe genetic regulatory networks several deterministic models based on systems of nonlinear ordinary differential equations (ODEs) have been proposed. The Elowitz repressilator, modeled as a system of three genes that repress each other in a ring, is one of the most outstanding examples. Furthermore, systems that can display a coexi...

Networks of coupled nonlinear oscillators are popular mathematical models in many areas of applied sciences. The most successful approach for their analysis is based on phase modeling, founded on the idea to represent each oscillator by a phase variable. Phase models have been analyzed with wealth of details and in a plethora of different variants,...

The analysis and the detection of spatial-temporal patterns are extremely important to unfold the main features of numerous biological phenomena. It is also essential to conceive hardware oriented architectures in order to realize VLSI platforms that are able to process and recognize spatial-temporal patterns without breaking them into frames. Osci...

The aim of the work is to develop theoretical methodologies and numerical techniques for the analysis and design of systems composed of memristive oscillators. In particular, we focus on networks made up of nonlinear oscillators with or without memristors interacting through resistive and/or memristive 'synapses'. Such methodologies will play a fun...

The synchronization of an oscillator with an external stimulus or between coupled elements is the subject of intense research in many areas of applied sciences. The most successful approach is based on phase modeling, founded on the idea to represent each oscillator by a phase variable. Phase models have been analyzed with a wealth of details and i...

An array of resistively and capacitively shunted Josephson junctions with nonsinusoidal current-phase relation is considered for modelling the transition in high-T$_c$ superconductors. The emergence of higher harmonics, besides the simple sinusoid $I_{c}\sin\phi$, is expected for dominant \emph{d}-wave symmetry of the Cooper pairs, random distribut...

Cyclic Negative Feedback systems (CNF systems) are widely exploited in systems biology to model the sustaining oscillations present in several molecular networks. Furthermore, these systems can display a coexistence of different stable attractors, permitting to suitably describe the differentiating processes arising in living cells. The aim of the...

The formation of layers during the resistive transition of granular high-T_c superconductors, characterized by either weak (YBCO-like) or strong (MgB₂-like) links, occurs through a series of avalanche-type current density rearrangements. These resistive layers cross the whole specimen approximately orthogonal to the current den...

Phase models represent the ideal framework to investigate the synchronization of a nonlinear oscillator by an external periodic force. While many researches focused the attention to their analysis, little work has been done about the reduction of a physical system to the corresponding phase model. In this paper we show how, resorting to the method...

There are several reasons for circuit modeling of quantum systems: the first is to establish a bridge between quantum and classical worlds, inasmuch this is possible, the second is to provide a unified view of quantum systems interacting with a macroscopic environment on the point of view of observations done on the latter, the third is the possibi...

Oscillations in networks composed of Cyclic Negative Feedback systems (CNF systems) are widely used to mimic many periodic phenomena occurring in systems biology. In particular, the possible coexistence of different attractors permits to suitably describe the differentiating processes arising in living cells. The aim of the manuscript is to charact...

Negative feedback control loops are widely used in numerous models of periodic phenomena occurring in systems biology, since they give rise to sustained oscillations. In particular, the possible coexistence of different attractors permits to suitably describe the differentiating processes arising in the cell. The aim of this work is to study couple...

The analysis and the detection of spatial-temporal patterns are extremely important to unfold the main features of numerous biological phenomena. It is also essential to conceive hardware oriented architectures in order to realize VLSI platforms that are able to process and recognize spatial-temporal patterns without breaking them into frames. Osci...

An equivalent circuit is presented for a quantum system composed of two spin 1/2 particles. Such a circuit shows that the entire dynamics of the system, including single-particle and two-particle annihilation and creation, as well as the single particle transitions between ground and excited states, can be described as the superposition of the vari...

The resistive transition of granular high-T$_c$ superconductors, characterized by either weak (YBCO-like) or strong (MgB$_2$-like) links, occurs through a series of avalanche-type current density rearrangements. These rearrangements correspond to the creation of resistive layers, crossing the whole specimen approximately orthogonal to the current d...

The study of the local behavior of nonlinear systems in the neighborhood of a periodic orbit is a classical problem in nonlinear dynamics. Most of our knowledge stems from simulations or the numerical integration of the variational equation. Only in the case of planar oscillators, the solution of the variational equation can be found analytically,...

An open quantum system composed of identical particles spinning in a constant longitudinal magnetic field and excited by a transverse electromagnetic wave is considered as a model for a typical nanocircuit component. The electromagnetic wave is carried by a microstrip transmission line terminated on a box, wherein the particles are introduced at an...

Strings of ions confined in a radio-frequency trap represent a promising architecture for quantum computers. The ions can be considered as an ensemble of harmonic oscillators, interacting through the Coulomb repulsion, and subject to the influence of the external environment, here represented by an electromagnetic field. In this view, the system is...

Oscillatory networks represent the most appropriate paradigm for modeling almost all physical, biological and chemical systems that exhibit periodic collective behavior. Under the assumption that the entities composing the system interact weakly, it has been shown that such weakly connected oscillatory networks (WCONs) can be exploited for dynamic...

It is well known that nonlinear oscillatory networks are capable of sustaining nonlinear waves and in general spatio-temporal structures. In particular, spiral waves are the most universal form of patterns arising in dissipative media of oscillatory and excitable nature. By focusing on cellular nonlinear networks, whose cells admit of a Lurpsilae d...

By focusing on bio-inspired oscillatory arrays, whose cells admit of a Lurpsilae description and are linearly connected through weak couplings, the occurrence of spiral waves has been studied through the phase deviation equation obtained by the joint application of the harmonic balance method and Malkinpsilas theorem. Furthermore, a simple conditio...

Oscillatory nonlinear networks represent a circuit architecture for image and information processing. In particular they have associative properties and can be exploited for dynamic pattern recognition. In this manuscript the global dynamic behavior of weakly connected cellular networks of oscillators is investigated. It is assumed that each cell a...

The Harmonic Balance Technique (HBT) is used to analyze the steady state performance of a two-state quantum system interacting with a classical sinusoidal electromagnetic wave and with a thermal bath at a fixed temperature. The linear time-variant differential equations describing such a system can be solved to any number of harmonics and the resul...

Spiral waves are the most universal form of patterns arising in dissipative media of oscillatory and excitable nature. By focusing on oscillatory networks, whose cells admit of a Lur'e description and are linearly connected through weak couplings, the occurrence of spiral waves has been studied. In particular, the global dynamic behavior of such ne...

The existence and the stability of waves and phase locked oscillations in lattices composed by oscillators with delayed interactions is investigated. In the neighborhood of a multiple Hopf bifurcation, the equations governing the dynamics of the whole network reduce to an amplitude-phase model, reducing the research of phase locked oscillations to...

Spiral waves are the most universal form of patterns arising in dissipative media of oscillatory and excitable nature. By focusing on oscillatory networks, whose cells admit of a Lur'e description and are linearly connected through weak couplings, the occurrence of spiral waves has been studied. In particular, the global dynamic behavior of such ne...

The purpose of this manuscript is to propose a method for investigating the global dynamics of nonlinear oscillatory networks, with arbitrary couplings. The procedure is based on the assumption that each oscillator can be accurately described via its time-varying amplitude and phase variables. The proposed method allows one to derive a set of coupl...

Several studies in neuroscience have shown that nonlinear oscillatory networks represent bio-inspired models for information and image processing. Recent studies on the thalamo-cortical system have shown that weakly connected oscillatory networks (WCONs) exhibit associative properties and can be exploited for dynamic pattern recognition. In this ma...

Current studies in neurophysiology award a key role to collective behaviors in both neural information and image processing. This fact suggests to exploit phase locking and frequency entrainment in oscillatory neural networks for computational purposes. In the practical implementation of artificial neural networks delays are always present due to t...

The Subharmonic Melnikov's method is a classical tool for the analysis of subharmonic orbits in weakly perturbed nonlinear oscillators, but its application requires the availability of an analytical expression for the periodic trajectories of the unperturbed system. On the other hand, spectral techniques, like the harmonic balance, have been widely...

Many mathematical models have been proposed to describe systems that present spatio-temporal patterns. Most of them are mainly phase models, where each oscillating cell is characterized in terms of a sole phase variable. It is well known that under suitable assumptions the global dynamics of networks composed by oscillators with weak connections ca...

The aim of this work is to study periodic oscillations and bifurcations in cellular nonlinear networks composed by oscillatory cells and connected through arbitrary couplings. In order to characterize each oscillator by using amplitude and phase variables, a method based on a generalized version of the describing function technique is proposed. Fur...

A two-state open quantum system composed of identical noninteracting particles, excited by a sinusoidal TEM electromagnetic wave and in contact with a thermal bath of an infinite thermal capacitance, is considered as a model for a typical nano circuit component working under linear conditions. Its steady state performance can be analyzed to any deg...

The goal of this manuscript is to propose a method for investigating the global dynamics of nonlinear oscillatory networks, with arbitrary couplings. The procedure is mainly based on the assumption that the dynamics of each oscillator is accurately described by a couple of variables, that is, the oscillator periodic orbits are represented through t...

The aim of this work is to study periodic oscillations and bifurcations in oscillatory networks with arbitrary couplings. In order to characterize each oscillator by using amplitude and phase variables, a method based on a generalized version of the describing function technique is proposed. It allows us to derive a set of ordinary differential equ...

The global dynamics of an artificial neural network composed by oscillators with delays is investigated. Using center manifold reduction and normal form theory, the equation governing the whole network dynamics is reduced to an amplitude-phase model (i.e. a set of coupled differential equations describing the evolution of both the amplitudes and th...

The steady state performance of a two-state quantum system interacting with a thermal bath at a fixed temperature and with a classical electromagnetic wave is analyzed by the harmonic balance technique. Thus the time-variant equations can be solved to any chosen approximation and the corrections to be brought to the classical RWA approximation to t...

The development of nanocircuits designed to ultimately interact with classical electromagnetic environments demands for a description of their performance in circuit terms, i.e. in terms of voltages and currents or incident, reflected and transmitted waves. A class of quantum systems which are particularly promising for applications (e.g. in spintr...

Spectral techniques, like harmonic balance, are classical numerical tools for designing nonlinear oscillators and microwave circuits. Recently these techniques have been exploited for investigating complex dynamics in nonlinear systems. In this manuscript we firstly show that limit cycle Floquet's multipliers and the related bifurcation phenomena c...

Recent studies on the thalamo-cortical system have shown that weakly connected oscillatory networks (WCNs) exhibit associative properties and can be exploited for dynamic pattern recognition. In this manuscript we focus on WCNs, composed of oscillators that admit of a Lurpsilae like description and are organized in such a way that they communicate...

A cellular neural/nonlinear network (CNN) is any spatial arrangement of mainly locally coupled cells, where each cell is a dynamical system which has an input, an output and a state that evolves according to some prescribed dynamical laws. Since the CNN was first introduced in 1988, research in this field has developed rapidly. The goal of this tut...

Many studies in neuroscience have shown that nonlinear oscillatory networks represent a bio-inspired models for information and image processing. Studies on the thalamo-cortical system have shown that weakly connected oscillatory networks (WCNs) exhibit associative properties and can be exploited for dynamic pattern recognition. In this manuscript...

Nanocircuits are composed of nanoelements interacting with external electromagnetic fields which are ultimately described in terms of voltages and currents or incident and reflected waves. Hence the necessity of describing their quantum performance in terms of circuit quantities. We present equivalent circuits for the small signal performance of a...

Some design environments may prevent Design for Testability techniques from reducing testing to a combinational problem: ATPG for sequential devices remains a challenging field. Random and deterministic structure-oriented techniques are the state-of-the-art, but there is a growing interest in methods where the function implemented by the circuit is...

A quantum system composed of a large number of non-interacting spin ½ particles, biased by a large constant magnetic field along the z-axis and excited by a small circularly polarized electromagnetic wave in the xy-plane is considered. Its small signal reflectance about the equilibrium state resulting from the biasing field and a pumping activity i...

Many studies in neuroscience have shown that nonlinear dynamic networks represent a bio-inspired model for information and image processing. Recent studies on the thalamo-cortical system have shown that weakly connected oscillatory networks, forced by an external input, have the capability of modelling the architecture of a neurocomputer. In partic...

A CNN model of partial differential equations (PDEs) for image multiscale analysis is proposed. The model is based on a polynomial representation of the diffusivity function and defines a paradigm of polynomial CNNs, for approximating a large class of non-linear isotropic and/or anisotropic PDEs. The global dynamics of space-discrete polynomial CNN...

The effect of boundary conditions on the global dynamics of cellular neural networks (CNNs) is investigated. As a case study one-dimensional template CNNs are considered. It is shown that if the off-diagonal template elements have opposite sign, then the boundary condi-tions behave as bifurcation parameters and can give rise to a very rich and comp...

The effect of boundary conditions on the global dynamics of cellular neural networks (CNNs) is investigated. As a case study one-dimensional template CNNs are considered. It is shown that if the off-diagonal template elements have opposite sign, then the boundary conditions behave as bifurcation parameters and can give rise to a very rich and compl...

The global dynamic behavior of a hysteretic oscillator is investigated. It is shown that the most significant bifurcation phenomena can be accurately detected through the joint application of two frequency-domain techniques, i.e., describing function and harmonic balance, and of a suitable time-domain method for computing limit-cycle Floquet's mult...

Weakly connected oscillatory cellular networks are investigated. It is assumed that each cell admits of a Lur'e description. In case of weak coupling the main dynamic features of the network are revealed by the phase deviation equation (i.e. the equation that describes the phase deviation due to the weak coupling). In this manuscript a very accurat...

Many studies in neuroscience have shown that nonlinear dynamic networks represent a bio-inspired models for information and image processing. Recent studies on the thalamo-cortical system have shown that weakly connected oscillatory networks have the capability of modelling the architecture of a neurocomputer. In particular they have associative pr...

Two-dimensional layers of oscillatory cellular nonlinear networks are investigated. It is assumed that each cell admits a Lur'e description. In case of weak coupling the main dynamic features of the network are revealed by the phase deviation equation (i.e. the equation that describes the phase deviation due to the weak coupling). In this manuscrip...

Stable CNN with binary outputs are used for real-time image processing. A fundamental step for CNN design is to develop simple and effective algorithms for predicting their steady-state behavior. So far, such algorithms are mainly based on the application of local rules, i.e. on the evaluation of the first order derivative of each cell at t = 0. Th...

It is shown that the global dynamics of weakly connected cellular nonlinear networks can be investigated through the joint application of Malkin's theorem and of the describing function technique. As a case study a one-dimensional array of third order oscillators is considered. Firstly a very accurate analytical expression of the phase deviation eq...

The global dynamics of weakly connected oscillatory networks is investigated: as a case study, one-dimensional arrays of third-order oscillators are considered. Through the joint application of the describing function technique and Malkin's Theorem a very accurate analytical expression of the phase deviation equation (i.e. the equation that describ...

The global dynamic behavior of a hysteretic oscillator is investigated. It is shown that the most significant bifurcation phenomena can be accurately detected through the joint application of two frequency domain techniques, i.e., describing function and harmonic balance, and of a suitable time-domain method for computing the limit cycle Floquet's...

Nanodevices are microsystems governed by the laws of quantum mechanics embedded in a macroscopic environment governed by the laws of classical electrodynamics. Their use as components in nanocircuits ultimately requires a description in terms of electrical quantities, voltages and currents or incident and reflected electromagnetic waves, present at...

The state equations of open two-level quantum systems, which form the building blocks of quantum cellular neural networks, are studied in arbitrary representations. It is shown that the dissipation matrix, that under the usual assumptions is diagonal in the energy representation, such remains if and only if the coupling between the states induced b...

The paper is intended to establish a conceptual bridge between Classical Network Theory and Quantum Mechanics. The concept of time-reversal symmetry is extended from Quantum Mechanics to Network Theory (in the state equations description), while concepts of passivity and losslessness are extended from Network Theory to Quantum Mechanics. Copyright...

Quantum cellular neural networks are composed of two-state quantum cells interacting with the environment through electromagnetic fields describable in terms of voltages and currents. It is therefore necessary to describe the port performance of the cells in terms of circuit parameters such as reflectances and transmittances. In the paper it is sho...

Cellular neural networks (CNNs) are large-scale systems described by locally coupled nonlinear differential equations. In most applications the connections are specified through space-invariant templates. CNNs with binary outputs are exploited for real time-image processing. So far, only a few methods have been proposed for designing binary CNNs. T...

It was recently shown that weakly connected cellular neural/nonlinear networks (consisting of locally coupled oscillators) represent a suitable architecture for modelling biological neuro-computers. Such networks are described by large systems of nonlinear differential equations and may exhibit a rich dynamics, including chaos and complex bifurcati...