A hyperchaotic map with a new discrete memristor model: Design, dynamical analysis, implementation and application

L Ren, J Mou, S Banerjee, Y Zhang - Chaos, Solitons & Fractals, 2023 - Elsevier
The memristor has received much attention in recent years because of its natural
nonlinearity, but the research on discrete memristor is just beginning. For this reason, a new …

A fractional-order chaotic system with hidden attractor and self-excited attractor and its DSP implementation

T Liu, H Yan, S Banerjee, J Mou - Chaos, Solitons & Fractals, 2021 - Elsevier
The definition of fractional calculus is introduced into a 3D multi-attribute chaotic system in
this paper. The fractional multi-attribute chaotic system (FMACS) numerical solution is …

Dynamical analysis of a new chaotic system: asymmetric multistability, offset boosting control and circuit realization

C Ma, J Mou, L Xiong, S Banerjee, T Liu, X Han - Nonlinear Dynamics, 2021 - Springer
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 …

Dynamical analysis of the improper fractional-order 2D-SCLMM and its DSP implementation

T Liu, S Banerjee, H Yan, J Mou - The European Physical Journal …, 2021 - epjplus.epj.org
In this paper, the definition of fractional calculus introduces a newly constructed discrete
chaotic map. Interestingly, when the order is extended to the improper fractional order, the …

Dynamical properties of ion-acoustic waves in space plasma and its application to image encryption

J Tamang, JDD Nkapkop, MF Ijaz, PK Prasad… - IEEE …, 2021 - ieeexplore.ieee.org
The nonlinear ion-acoustic waves (IAWs) in a space plasma are capable of exhibiting
chaotic dynamics which can be applied to cryptography. Dynamical properties of IAWs are …

A new 5D Hamiltonian conservative hyperchaotic system with four center type equilibrium points, wide range and coexisting hyperchaotic orbits

Z Zhang, L Huang - Nonlinear Dynamics, 2022 - Springer
Based on Euler equation and energy analysis, a new five-dimensional (5D) hyperchaotic
system is proposed in this paper. The new system is a conservative system which conforms …

Hyperchaotic maps of a discrete memristor coupled to trigonometric function

T Liu, J Mou, L Xiong, X Han, H Yan, Y Cao - Physica Scripta, 2021 - iopscience.iop.org
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 …

The effects of extreme multistability on the collective dynamics of coupled memristive neurons

Z Wang, R Ramamoorthy, X Xi, K Rajagopal… - The European Physical …, 2022 - Springer
The coexistence of different attractors, known as multistability, is an exciting phenomenon in
the nonlinear dynamics field. Multistability has been widely studied in different dynamical …

A construction method of N-dimensional non-degenerate discrete memristive hyperchaotic map

L Huang, J Liu, J Xiang, Z Zhang, X Du - Chaos, Solitons & Fractals, 2022 - Elsevier
In this paper, a discrete memristor model with periodic memristive function is proposed, and
a construction method of N-dimensional non-degenerate discrete hyperchaotic map based …

Analysis and finite-time synchronization of a novel double-wing chaotic system with transient chaos

S Yan, E Wang, B Gu, Q Wang, Y Ren… - Physica A: Statistical …, 2022 - Elsevier
A chaotic system that can generate double-wing attractor is proposed. Through the analysis
of Lyapunov exponents, bifurcation diagram, phase diagram and complexity, it is found that …