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 …
this paper. The fractional multi-attribute chaotic system (FMACS) numerical solution is …
DC-offset strategy for controlling hidden and multistable behaviors in physical circuits
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 …
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 …
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 …
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 …
dynamical systems, in which chaos and catastrophe coexist, are closely related to the …
A novel memristive chaotic system without any equilibrium point
Various chaotic systems have been studied recently. They can show many different
dynamics and features. A memristive 4D chaotic oscillator with no equilibria, multistability …
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 …
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
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 …
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 …
We systematically study the internal characteristics of the kinetic generation mechanism of …
KCC Theory of the Oregonator Model for Belousov-Zhabotinsky Reaction
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 …
perspective of KCC theory has been investigated. In order to reduce the complexity of the …