Scenario of the birth of hidden attractors in the Chua circuit

NV Stankevich, NV Kuznetsov, GA Leonov… - International Journal of …, 2017 - World Scientific
Recently it was shown that in the dynamical model of Chua circuit both the classical self-
excited and hidden chaotic attractors can be found. In this paper the dynamics of the Chua …

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 …

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 …

Hidden coexisting attractors in a chaotic system without equilibrium point

W Zhou, G Wang, Y Shen, F Yuan… - International Journal of …, 2018 - World Scientific
This paper proposes a new three-dimensional chaotic system with no equilibrium point but
can generate hidden chaotic attractors. Dynamic characteristics of the system are analyzed …

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 …

A fractional-order multistable locally active memristor and its chaotic system with transient transition, state jump

W Xie, C Wang, H Lin - Nonlinear Dynamics, 2021 - Springer
Fractional calculus is closer to reality and has the same memory characteristics as
memristor. Therefore, a fractional-order multistable locally active memristor is proposed for …

Coexisting behaviors of asymmetric attractors in hyperbolic-type memristor based Hopfield neural network

B Bao, H Qian, Q Xu, M Chen, J Wang… - Frontiers in Computational …, 2017 - frontiersin.org
A new hyperbolic-type memristor emulator is presented and its frequency-dependent
pinched hysteresis loops are analyzed by numerical simulations and confirmed by hardware …

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 …

Extreme multistability in a memristor-based multi-scroll hyper-chaotic system

F Yuan, G Wang, X Wang - Chaos: An Interdisciplinary Journal of …, 2016 - pubs.aip.org
In this paper, a new memristor-based multi-scroll hyper-chaotic system is designed. The
proposed memristor-based system possesses multiple complex dynamic behaviors …