Li Xiong

Independent Researcher · School of Physics and Electromechanical Engineering

From a biophysical point of view, incorporating a variety of electric components into branch circuits of a neuron circuit can enhance the biophysical function of an isolated neuron, for example, piezoelectric ceramic can detect external auditory waves, thermistor can enhance temperature dependence and phototube can capture light signals. Thus, the...

Compared with ordinary chaotic systems, memristor-based chaotic systems have more complex dynamic behaviors and are more suitable for image encryption algorithms. In this paper, a four-dimensional chaotic system is constructed by introducing a cubic nonlinear memristor into a three-dimensional chaotic system. Firstly, the dynamic characteristics of...

As a circuit component with memory function, memristors have significant nonlinear physical characteristics and are widely used in the study of chaotic circuits and artificial neural networks. Given the superconducting quantum properties of Josephson junctions, various functional circuits and their applications, including memristors and Josephson j...

Artificial neural circuits can effectively reproduce the main biophysical properties of neurons when reliable electronic components with unique physical properties are introduced. Connecting memristor to neural circuits not only enhances the potential controllability under external physical stimuli but also recognizes the effects of electromagnetic...

This paper is devoted to introduce a novel four-dimensional memristor-involved system and its applications in image encryption and chaotic circuit. The typical dynamical behaviors of the memristor-involved system are explored, such as chaotic phase potraits, Lyapunov exponent spectrum (LES), bifurcation diagram (BD) and complexity analysis. Then a...

Nervous system contacts and regulates the various systems and organs of the body by encoding and transmitting information, so it becomes important to explore the synaptic connections between neurons. In this study, two functional neurons are obtained by embedding Josephson junction and memristor in the FHN neuron circuit, and then based on Helmholt...

The influence of electromagnetic field to neuron firing rhythm is not negligible. In order to investigate the behavior mechanism, a five-dimensional neuron model based on the Faraday's law of electromagnetic induction is improved by introducing magnetic flux variables and electric field variables on the three-dimensional Hindmarsh–Rose (HR) neuron...

Electrical synapses can quickly activate the gap junctions between adjacent neurons, so the effect of electrical synaptic coupling is often equivalent to that of voltage coupling based on resistors; the release of neurotransmitters in chemical synapses can cause the pumping of ions, which in turn excites electromagnetic fields inside and outside th...

The nervous system is composed of various functional neurons, some of which perceive sound or light, and these physical signals can be converted into bioelectrical signals. From the biophysical point of view, piezoelectric ceramic embedded in neuronal circuits can detect the external auditory waves, while phototube can capture light signals, so as...

In order to explore the phenomenon of coexisting attractors in complex chaotic systems, a multistable complex chaotic system is designed by using a cosine function and a control parameter to control the Sprott B system in this paper. The basic features of the complex chaotic system are analyzed from the perspectives of symmetry, dissipation, equili...

Neurons are connected through synapses, but it is not reasonable to equate the connection mode of synapses to an edge in the network due to synaptic plasticity whereas the magnetic field coupling can be considered to handle it. Therefore, in this paper, the interaction between HR neurons is realized by magnetic field coupling based on induction coi...

Research on discrete memristor models applied to discrete maps deserves more in-depth discussion. In this paper, a continuous memristor is introduced and the discrete memristor model is obtained by the forward Eulerian difference algorithmic discretization. This model is coupled to a cosine map to further obtain a two-dimensional memristor cosine m...

Compared with integer order chaotic systems, fractional order chaotic systems can reflect natural phenomena more accurately, which are more suitable for chaotic cryptosystems. In order to explore the application of fractional order chaotic system in cryptography, a novel fractional order hyperchaotic system is constructed and implemented on DSP pla...

In this work, a new discrete chaotic map is developed from the 1D ICMIC (Iterative Map with Infinite Collapses) to control the 2D Hénon map. The performances of the proposed discrete map are evaluated by using the phase diagram, Lyapunov exponent spectrum and complexity. It is found that the new chaotic map has larger value of complexity, and chaot...

In accordance with the principle that the cube graph can be obtained by superimposing planes, a multiple-image encryption scheme based on hyperchaotic map and 3D cube is designed in this paper. Multiple images are segmented by columns, and a regular cube is obtained by stacking multiple fixed-size planes. Each stacked plane is considered as a stack...

In this paper, a memristive circuit system is proposed and its dynamical characteristics are analyzed by two-parameters bifurcation diagrams, Lyapunov exponent spectrum, SE complexity and C0 complexity. The numerical analysis results illustrate that the chaotic state of the memristive system is distributed in a large range of parameters, which is e...

A multiple-image encryption algorithm based on single-channel scrambling, diffusion and chaotic system is presented in this paper. The initial values of the chaotic system are associated with the pixel values of each set of encrypted images as the key for each set of image encryption. The pseudo-random sequences and matrixes generated by the chaoti...

A novel color image encryption algorithm based on the fractional order laser chaotic system and DNA mutation principle is proposed in this paper. Using phase diagram, Lyapunov exponential spectrum, bifurcation diagram and C0 complexity, the dynamic characteristics of the fractional-order laser chaotic system are analyzed, and the hardware circuit s...

In this paper, a new chaotic map coupled with a memristor is constructed. Based on the proposed discrete maps of sine and cosine functions, the discrete memristor is introduced and used as input to enhance their chaotic performance. Then Lyapunov exponents spectra (LEs), bifurcation diagram, and other methods are used to evaluate their chaotic beha...

A new five-dimensional fractional-order laser chaotic system (FOLCS) is constructed by incorporating complex variables and fractional calculus into a Lorentz–Haken-type laser system. Dynamical behavior of the system, circuit realization and application in pseudorandom number generators are studied. Many types of multi-stable states are discovered i...

In this paper, a 3-D non-autonomous fractional memristive laser chaotic system which contains a compound nonlinear term multiplied by an absolute value function and a sine function is proposed. The compound nonlinear term and the differential equations of the system are decomposed and solved by the ADM. The chaotic feature of this system is studied...

A novel chaotic circuit that includes two memristors, an inductor, and a capacitor in parallel is planned, then the dimensionless mathematical model is built. Seven kinds of different attractors are found in the system. Using traditional dynamical analysis methods, the circuit system's equilibrium point and stability are analyzed, and under certain...

Laser chaotic systems have been extensively studied and applied in the past 20 years. However, the fractional form of the chaotic system of erbium-doped fiber laser has not been studied yet. Therefore, this paper proposes a fractional-order double-ring erbium-doped fiber laser chaotic system. The dynamic characteristics of the system are studied by...

In this paper, a novel image encryption algorithm based on a new discrete chaotic system is presented. The chaotic characteristics of the new chaotic system are analyzed by phase diagram, Lyapunov exponent, bifurcation diagram and complexity analysis. The randomness of chaotic sequences is test by the NIST SP 800-22 test package. The calculation ti...

This paper is devoted to introduce a simplest Lorenz-like chaotic circuit and the calculation of Hamiltonian energy function for the corresponding dimensionless Lorenz-like chaotic system, as well as its applications in weak signal detection and chaotic secure communication. First, a simplest Lorenz-like chaotic circuit composed of three operationa...

In this paper, a new five-dimensional fractional-order chaotic system based on two nonlinear functions is constructed. The rich dynamical behaviors of the system are analyzed by phase diagram, bifurcation diagram and Lyapunov exponents spectrum. In addition, the complexity of the fractional-order system is analyzed through Spectral Entropy (SE) and...

In this paper, a new memristor chaotic system is designed based on Chua’s memristor chaotic system. To get the complete picture of the brain of a three-dimensional chaotic attractor, red and blue 3D glasses is used to observe the chaotic attractor, and using Lyapunov exponent spectrum, SE complexity and C0 complexity to analyze dynamical characteri...

In this paper, a new four-dimensional dissipative chaotic system which can produce multiple asymmetric attractors is designed and its dynamical behaviors are analyzed. The basin of attraction reveals the asymmetric multistability of the system. In addition, it is very interesting to observe different types of asymmetric coexisting attractors as the...

Since the traditional detection methods cannot accurately detect, determine and extract weak signals, the extreme sensitivity of chaotic systems to initial values is used for weak signal detection using a memristor-based chaotic system. Then, in order to find out all kinds of static nonlinear circuits suitable for Chua’s circuit with identical para...

Purpose The ammeter can measure the direct current and low-frequency alternating current through the wires, but it is difficult to measure complex waveforms. The oscilloscope can measure complex waveforms, but it is easy to measure the voltage waveform and difficult to measure the current waveform. Thus, how to measure complex current waveforms wit...

Purpose This paper is aimed at investigating a novel chemical oscillating chaotic system with different attractors at fixed parameters. The typical dynamical behavior of the new chemical oscillating system is discussed, and it is found that the state selection is dependent on initial values. Then, the stabilization problem of the chemical oscillat...

This paper is expected to introduce a novel memductor-based chaotic system. The local dynamical entities, such as the basic dynamical behavior, the divergence, the stability of equilibrium set, and the Lyapunov exponent, are all investigated analytically and numerically to reveal the dynamic characteristics of the new memductor-based chaotic system...

Purpose This paper aims to introduce a novel four-dimensional hyper-chaotic system with different hyper-chaotic attractors as certain parameters vary. The typical dynamical behaviors of the new hyper-chaotic system are discussed in detail. The control problem of these hyper-chaotic attractors is also investigated analytically and numerically. Then...

In this paper, an image encryption algorithm based on DNA random coding and random operation combined with chaotic map is proposed. In order to produce se- quences with more chaotic characteristics, a new spa- tiotemporal chaotic system is proposed by employing the Tent-Sine system (TSS) in the coupled map lattice (CML). SHA-256 hash of the plain i...

This paper is devoted to introduce a novel fourth-order hyperchaotic system. The hyperchaotic system is constructed by adding a linear feedback control level based on a modified Lorenz-like chaotic circuit with reduced number of amplifiers. The local dynamical entities, such as the basic dynamical behavior, the divergence, the eigenvalue, and the L...

Purpose Lacking of optimization and improvement on the experimental circuit precluded comprehensive statements. It is the deficiency of the existing chaotic circuit technology. one of the aims of this paper is to solve the above problems. Another purpose of this paper is to construct a 10+4 type chaotic secure communication circuit based on the pr...

In this paper, a scheme for chaotic modulation secure communication is proposed based on chaotic synchronization of an improved Lorenz system. For the first time, the intensity limit and stability of the transmitted signal, the characteristics of broadband and the requirements for accuracy of electronic components are presented by Multisim simulati...

An improved Lorenz chaotic system is proposed, making it into a circuit which is easy to be implemented by using some basic electronic components. The antisynchronization error systems can be asymptotically stabilized at the origin with three different methods which are proposed to control the improved Lorenz system. Theoretical analyses and simula...