Hidden attractors in dynamical systems

D Dudkowski, S Jafari, T Kapitaniak, NV Kuznetsov… - Physics Reports, 2016 - Elsevier
Complex dynamical systems, ranging from the climate, ecosystems to financial markets and
engineering applications typically have many coexisting attractors. This property 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 …

Control of multistability in hidden attractors

PR Sharma, MD Shrimali, A Prasad… - The European Physical …, 2015 - Springer
Hidden attractors have a basin of attraction which is not connected with unstable
equilibrium. Certain systems with hidden attractor show multistability for a range of …

Multistability in piecewise linear systems versus eigenspectra variation and round function

HE Gilardi-Velázquez, LJ Ontañón-García… - … Journal of Bifurcation …, 2017 - World Scientific
A multistable system generated by Piecewise Linear (PWL) subsystems based on the jerk
equation is presented. The system's behavior is characterized by means of the Nearest …

Controlling dynamics of hidden attractors

PR Sharma, MD Shrimali, A Prasad… - … Journal of Bifurcation …, 2015 - World Scientific
Amplitude death (AD) in hidden attractors is attained with a scheme of linear augmentation.
This linear control scheme is capable of stabilizing the system to a fixed point state even …

Coexistence of firing patterns and its control in two neurons coupled through an asymmetric electrical synapse

Z Tabekoueng Njitacke, I Sami Doubla… - … Journal of Nonlinear …, 2020 - pubs.aip.org
In this paper, the effects of asymmetry in an electrical synaptic connection between two
neuronal oscillators with a small discrepancy are studied in a 2D Hindmarsh–Rose model …

Multistability induced by two symmetric stable node-foci in modified canonical Chua's circuit

M Chen, Q Xu, Y Lin, B Bao - Nonlinear Dynamics, 2017 - Springer
This paper proposes a modified canonical Chua's circuit using an one-stage op-amp-based
negative impedance converter and an anti-parallel diode pair. Unlike the conventional …

On the dynamics of a simplified canonical Chua's oscillator with smooth hyperbolic sine nonlinearity: Hyperchaos, multistability and multistability control

T Fonzin Fozin, P Megavarna Ezhilarasu… - … Journal of Nonlinear …, 2019 - pubs.aip.org
A simplified hyperchaotic canonical Chua's oscillator (referred as SHCCO hereafter) made
of only seven terms and one nonlinear function of type hyperbolic sine is analyzed. The …

Control of multistability with selection of chaotic attractor: application to image encryption

ZT Njitacke, ME Sone, TF Fozin, N Tsafack… - The European Physical …, 2021 - Springer
Dynamic systems exhibiting chaos with periodic windows and multistability are not
recommended for cryptography due to the lack of security in these regimes. In this work, we …

Megastability in a quasi-periodically forced system exhibiting multistability, quasi-periodic behaviour, and its analogue circuit simulation

P Prakash, K Rajagopal, JP Singh, BK Roy - AEU-International Journal of …, 2018 - Elsevier
In this paper, we present a new quasi-periodically forced system which exhibits coexistence
of an infinite number of nested attractors (megastability) along with quasi-periodic and …