Extreme multistability and extreme events in a novel chaotic circuit with hidden attractors

A Ahmadi, S Parthasarathy, N Pal… - … Journal of Bifurcation …, 2023 - World Scientific
Extreme multistable systems can show vibrant dynamical properties and infinitely many
coexisting attractors generated by changing the initial conditions while the system and its …

Synchronization transitions in a discrete memristor-coupled bi-neuron model

K Li, B Bao, J Ma, M Chen, H Bao - Chaos, Solitons & Fractals, 2022 - Elsevier
When synaptic connection is created to couple two neurons, the electromagnetic induction
current is unavoidably induced, which can be imitated by a flux-controlled memristor. To …

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 …

Flux–Charge Analysis of Two-Memristor-Based Chua's Circuit: Dimensionality Decreasing Model for Detecting Extreme Multistability

M Chen, M Sun, H Bao, Y Hu… - IEEE Transactions on …, 2019 - ieeexplore.ieee.org
In this paper, from a new perspective of flux and charge, we present in-depth analyses of two
ideal memristor emulators and the fifth-order memristive Chua's circuit constructed based on …

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 **… - … 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 **, 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 …

Multiple attractors in a non-ideal active voltage-controlled memristor based Chua's circuit

Q Xu, Y Lin, B Bao, M Chen - Chaos, Solitons & Fractals, 2016 - Elsevier
Multiple attractors can be found in many nonlinear dynamical system with multistability.
Recently, experimental attractors with two stable saddle-foci were reported to find in a non …

Extreme multistability in a memristive circuit

BC Bao, Q Xu, H Bao, M Chen - Electronics Letters, 2016 - Wiley Online Library
A memristive Chua's circuit regarded as a paradigm is reconsidered to exhibit its extreme
multistability in this Letter. Memristor initial state‐dependent dynamics is analysed and the …

Coexisting infinitely many attractors in active band-pass filter-based memristive circuit

B Bao, T Jiang, Q Xu, M Chen, H Wu, Y Hu - Nonlinear Dynamics, 2016 - Springer
This paper presents an inductor-free memristive circuit, which is implemented by linearly
coupling an active band-pass filter (BPF) with a parallel memristor and capacitor filter …

Infinite multistability in a self-reproducing chaotic system

C Li, JC Sprott, W Hu, Y Xu - International Journal of Bifurcation and …, 2017 - World Scientific
Multistability exists in various regimes of dynamical systems and in different combinations,
among which there is a special one generated by self-reproduction. In this paper, we …