A novel memristive 6D hyperchaotic autonomous system with hidden extreme multistability

BA Mezatio, MT Motchongom, BRW Tekam… - Chaos, Solitons & …, 2019 - Elsevier
This paper presents a 6D autonomous system, obtained by introducing a flux-controlled
memristor model into an existing 5D hyperchaotic autonomous system. The dynamics of the …

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 …

Hidden extreme multistability in memristive hyperchaotic system

BC Bao, H Bao, N Wang, M Chen, Q Xu - Chaos, Solitons & Fractals, 2017 - Elsevier
By utilizing a memristor to substitute a coupling resistor in the realization circuit of a three-
dimensional chaotic system having one saddle and two stable node-foci, a novel memristive …

Coexisting multi-stable patterns in memristor synapse-coupled Hopfield neural network with two neurons

C Chen, J Chen, H Bao, M Chen, B Bao - Nonlinear Dynamics, 2019 - Springer
When possessing a potential difference between two neurons, an electromagnetic induction
current appears in the Hopfield neural network (HNN), which can be emulated by a flux …

Initial condition-dependent dynamics and transient period in memristor-based hypogenetic jerk system with four line equilibria

H Bao, N Wang, B Bao, M Chen, P Jin… - … in Nonlinear Science and …, 2018 - Elsevier
Memristor-based nonlinear dynamical system easily presents the initial condition-dependent
dynamical phenomenon of extreme multistability, ie, coexisting infinitely many attractors …

Two-memristor-based Chua's hyperchaotic circuit with plane equilibrium and its extreme multistability

B Bao, T Jiang, G Wang, P Jin, H Bao, M Chen - Nonlinear Dynamics, 2017 - Springer
This paper presents a novel fifth-order two-memristor-based Chua's hyperchaotic circuit,
which is synthesized from an active band pass filter-based Chua's circuit through replacing a …

[HTML][HTML] Window of multistability and its control in a simple 3D Hopfield neural network: application to biomedical image encryption

ZT Njitacke, SD Isaac, T Nestor, J Kengne - Neural Computing and …, 2021 - Springer
In this contribution, the problem of multistability control in a simple model of 3D HNNs as
well as its application to biomedical image encryption is addressed. The space …

Autonomous memristor chaotic systems of infinite chaotic attractors and circuitry realization

J Sun, X Zhao, J Fang, Y Wang - Nonlinear Dynamics, 2018 - Springer
Memristor chaotic system has been attracted by many researchers because of the rich
dynamical behaviors. However, some existed memristor chaotic systems have finite …

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 …