[HTML][HTML] Mathematical model and FPGA realization of a multi-stable chaotic dynamical system with a closed butterfly-like curve of equilibrium points

A Sambas, S Vaidyanathan, T Bonny, S Zhang… - Applied Sciences, 2021 - mdpi.com
This paper starts with a review of three-dimensional chaotic dynamical systems equipped
with special curves of balance points. We also propose the mathematical model of a new …

Presence of megastability and infinitely many equilibria in a periodically and quasi-periodically excited single-link manipulator

JP Singh, J Koley, K Lochan, BK Roy - International Journal of …, 2021 - World Scientific
In the last two years, many chaotic or hyperchaotic systems with megastability have been
reported in the literature. The reported systems with megastability are mostly developed from …

Implementation and study of the nonlinear dynamics of a memristor-based Duffing oscillator

S Sabarathinam, CK Volos, K Thamilmaran - Nonlinear Dynamics, 2017 - Springer
An electronic model of Duffing oscillator with a characteristic memristive nonlinear element
is proposed instead of the classical cubic nonlinearity. The memristive Duffing oscillator …

Chaotic attractors generated by a memristor-based chaotic system and Julia fractal

D Yan, L Wang, S Duan, J Chen, J Chen - Chaos, Solitons & Fractals, 2021 - Elsevier
A chaotic system has many applications in random number generator, image encryption,
and secure communication. It is essential to present abundant chaotic attractors in a single …

The simplest 4-D chaotic system with line of equilibria, chaotic 2-torus and 3-torus behaviour

JP Singh, BK Roy - Nonlinear Dynamics, 2017 - Springer
The paper reports the simplest 4-D dissipative autonomous chaotic system with line of
equilibria and many unique properties. The dynamics of the new system contains a total of …

A coupling method of double memristors and analysis of extreme transient behavior

C Du, L Liu, Z Zhang, S Yu - Nonlinear Dynamics, 2021 - Springer
By coupling a variable of the memristor in one memristive chaotic circuit with another
memristor, an approach to construct a high-dimensional memristive chaotic system is …

Coexistence of single-and multi-scroll chaotic orbits in a single-link flexible joint robot manipulator with stable spiral and index-4 spiral repellor types of equilibria

JP Singh, K Lochan, NV Kuznetsov, BK Roy - Nonlinear Dynamics, 2017 - Springer
This paper reports various chaotic phenomena that occur in a single-link flexible joint (SLFJ)
robot manipulator. Four different cases along with subcases are considered here to show …

From coexisting attractors to multi-spiral chaos in a ring of three coupled excitation-free Duffing oscillators

S Balaraman, J Kengne, MSK Fogue… - Chaos, Solitons & …, 2023 - Elsevier
The dynamics of a ring of three unidirectional coupled excitation-free double well Duffing
oscillators is considered. The coupling technique followed in this work consists in the …

Dynamical analysis and chaos control of MEMS resonators by using the analog circuit

S Luo, H Ma, F Li, HM Ouakad - Nonlinear Dynamics, 2022 - Springer
This paper investigates the chaos control problem of microelectromechanical system
(MEMS) resonators by using the analog circuits. The dynamical analysis, based on …

Superconductivity coupling of harmonic resonant oscillators: Homogeneous and heterogeneous extreme multistability with multi-scrolls

T Fonzin Fozin, AR Tchamda, G Sivaganesh… - … Journal of Nonlinear …, 2024 - pubs.aip.org
Understanding and characterizing multistabilities, whether homogeneous or heterogeneous,
is crucial in various fields as it helps to unveil complex system behaviors and provides …