Coexisting attractors, circuit implementation and synchronization control of a new chaotic system evolved from the simplest memristor chaotic circuit

Q Lai, Z Wan, PDK Kuate, H Fotsin - Communications in Nonlinear Science …, 2020 - Elsevier
This paper reports a new chaotic system generated from the simplest memristor chaotic
circuit by introducing a simple nonlinear feedback control input. The principal feature of the …

A 3-D multi-stable system with a peanut-shaped equilibrium curve: Circuit design, FPGA realization, and an application to image encryption

A Sambas, S Vaidyanathan, E Tlelo-Cuautle… - IEEE …, 2020 - ieeexplore.ieee.org
A new 3-D chaotic dynamical system with a peanut-shaped closed curve of equilibrium
points is introduced in this work. Since the new chaotic system has infinite number of rest …

Coexisting infinite equilibria and chaos

C Li, Y Peng, Z Tao, JC Sprott… - International Journal of …, 2021 - World Scientific
Equilibria are a class of attractors that host inherent stability in a dynamic system. Infinite
number of equilibria and chaos sometimes coexist in a system with some connections …

An extremely simple chaotic system with infinitely many coexisting attractors

Q Lai, PDK Kuate, F Liu, HHC Iu - IEEE Transactions on …, 2019 - ieeexplore.ieee.org
The discovery of simple chaotic systems with complex dynamics has always been an
interesting research work. This brief aims to construct an extremely simple chaotic system …

A new multi-stable fractional-order four-dimensional system with self-excited and hidden chaotic attractors: Dynamic analysis and adaptive synchronization using a …

H Jahanshahi, A Yousefpour, JM Munoz-Pacheco… - Applied Soft …, 2020 - Elsevier
Four-dimensional chaotic systems are a very interesting topic for researchers, given their
special features. This paper presents a novel fractional-order four-dimensional chaotic …

Dynamic analysis, circuit realization, control design and image encryption application of an extended Lü system with coexisting attractors

Q Lai, B Norouzi, F Liu - Chaos, Solitons & Fractals, 2018 - Elsevier
This paper introduces an extended Lü system with coexisting attractors. The number and
stability of equilibria are determined. The coexisting attractors of the system are displayed by …

Antimonotonicity, chaos and multiple attractors in a novel autonomous memristor-based jerk circuit

J Kengne, AN Negou, D Tchiotsop - Nonlinear Dynamics, 2017 - Springer
A novel memristor-based oscillator derived from the autonomous jerk circuit (Sprott in IEEE
Trans Circuits Syst II Express Briefs 58: 240–243, 2011) is proposed. A first-order memristive …

[HTML][HTML] Dynamical analysis of a new multistable chaotic system with hidden attractor: Antimonotonicity, coexisting multiple attractors, and offset boosting

A Bayani, K Rajagopal, AJM Khalaf, S Jafari… - Physics Letters A, 2019 - Elsevier
Analyzing chaotic systems with coexisting and hidden attractors has been receiving much
attention recently. In this article, we analyze a four dimensional chaotic system which has a …

A fast chaotic image encryption scheme with simultaneous permutation-diffusion operation

L Liu, Y Lei, D Wang - IEEE access, 2020 - ieeexplore.ieee.org
In this paper, a secure and fast chaotic image encryption scheme with simultaneous
permutation-diffusion operation is proposed. We combine permutation and diffusion …

Modelling and circuit realisation of a new no‐equilibrium chaotic system with hidden attractor and coexisting attractors

Q Lai, Z Wan, PD Kamdem Kuate - Electronics Letters, 2020 - Wiley Online Library
This Letter reports a new no‐equilibrium chaotic system with hidden attractors and
coexisting attractors. Bifurcation diagram shows that the proposed system generates chaos …