Control of multistability

AN Pisarchik, U Feudel - Physics Reports, 2014 - Elsevier
Multistability or coexistence of different attractors for a given set of parameters is one of the
most exciting phenomena in dynamical systems. It can be found in different areas of science …

An overview of the stability analysis of recurrent neural networks with multiple equilibria

P Liu, J Wang, Z Zeng - IEEE Transactions on Neural Networks …, 2021 - ieeexplore.ieee.org
The stability analysis of recurrent neural networks (RNNs) with multiple equilibria has
received extensive interest since it is a prerequisite for successful applications of RNNs …

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 …

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 …

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 …

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 …

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 …

A unified chaotic system with various coexisting attractors

Q Lai - International Journal of Bifurcation and Chaos, 2021 - World Scientific
This article presents a unified four-dimensional autonomous chaotic system with various
coexisting attractors. The dynamic behaviors of the system are determined by its special …

A non-autonomous mega-extreme multistable chaotic system

A Ahmadi, S Parthasarathy, H Natiq, S Jafari… - Chaos, Solitons & …, 2023 - Elsevier
Megastable and extreme multistable systems comprise two major new branches of
multistable systems. So far, they have been studied separately in various chaotic systems …

[HTML][HTML] Multistability and tipping: From mathematics and physics to climate and brain—Minireview and preface to the focus issue

U Feudel, AN Pisarchik, K Showalter - Chaos: An Interdisciplinary …, 2018 - pubs.aip.org
Multistability refers to the coexistence of different stable states in nonlinear dynamical
systems. This phenomenon has been observed in laboratory experiments and in nature. In …