A fractional-order chaotic system with hidden attractor and self-excited attractor and its DSP implementation

T Liu, H Yan, S Banerjee, J Mou - Chaos, Solitons & Fractals, 2021 - Elsevier
The definition of fractional calculus is introduced into a 3D multi-attribute chaotic system in
this paper. The fractional multi-attribute chaotic system (FMACS) numerical solution is …

DC-offset strategy for controlling hidden and multistable behaviors in physical circuits

M Chen, A Wang, H Wu, B Chen… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
Analog circuit detection of hidden and multistable dynamics is an intractable problem as
their attraction basins are hard to locate rigorously in analog circuits. This article proposes a …

Analysis and circuit implementation of a non-equilibrium fractional-order chaotic system with hidden multistability and special offset-boosting

S Yan, E Wang, Q Wang - Chaos: An Interdisciplinary Journal of …, 2023 - pubs.aip.org
In order to obtain a system of higher complexity, a new fractional-order chaotic system is
constructed based on the Sprott system. It is noteworthy that the system has no equilibrium …

A new four-dimensional chaotic system with multistability and its predefined-time synchronization

E Wang, S Yan, Q Wang - International Journal of Bifurcation and …, 2022 - World Scientific
A new chaotic system is obtained by modifying the Sprott-C system. Then the phase
diagrams, power spectra, 0–1 tests, Poincaré maps, Lyapunov exponential spectra, time …

Elementary Catastrophe's Chaos in One-Dimensional Discrete Systems Based on Nonlinear Connections and Deviation Curvature Statistics

K Yamasaki - International Journal of Bifurcation and Chaos, 2024 - World Scientific
This study shows, by means of numerical analysis, that the characteristics of discrete
dynamical systems, in which chaos and catastrophe coexist, are closely related to the …

A novel memristive chaotic system without any equilibrium point

M Chen, Z Wang, F Nazarimehr, S Jafari - Integration, 2021 - Elsevier
Various chaotic systems have been studied recently. They can show many different
dynamics and features. A memristive 4D chaotic oscillator with no equilibria, multistability …

Predictive control of the variable-order fractional chaotic ecological system

B Wang, SS Sajjadi, H Jahanshahi, Y Karaca, D Hou… - Fractals, 2022 - World Scientific
Since ecological systems are history-dependent, incorporating fractional calculus and
especially variable order ones could significantly improve the emulation of these systems …

Jagged-shape chaotic attractors of a megastable oscillator with spatially square-wave damping

M Karami, R Ramamoorthy, AMA Ali… - The European Physical …, 2022 - Springer
Here, a 2D megastable oscillator with a square-wave function is proposed. The oscillator
shows an infinite number of coexisting jagged-shape limit cycles. It has an unstable …

Dynamics and Jacobi stability of the controlled 3D Hindmarsh-Rose neuron model

Q Yang, X Lu - Discrete and Continuous Dynamical Systems-B, 2024 - aimsciences.org
This paper proposes the controlled 3D Hindmarsh-Rose neuron model with hidden chaos.
We systematically study the internal characteristics of the kinetic generation mechanism of …

KCC Theory of the Oregonator Model for Belousov-Zhabotinsky Reaction

MK Gupta, A Sahu, CK Yadav, A Goswami, C Swarup - Axioms, 2023 - mdpi.com
The behavior of the simplest realistic Oregonator model of the BZ-reaction from the
perspective of KCC theory has been investigated. In order to reduce the complexity of the …