Lower-dimensional simple chaotic systems with spectacular features

Z Wang, A Ahmadi, H Tian, S Jafari, G Chen - Chaos, Solitons & Fractals, 2023 - Elsevier
Lower-dimensional chaotic systems are easily implementable and cost-effective, therefore,
more desirable for practical considerations. Not only can such systems preserve basic …

Constructing conditional symmetry in symmetric chaotic systems

C Li, JC Sprott, X Zhang, L Chai, Z Liu - Chaos, Solitons & Fractals, 2022 - Elsevier
Based on the analysis of polarity balance and exhaustive computer searching, a series of
symmetric chaotic flows is found for hosting conditional symmetry. Symmetric structure …

Parallel bi-memristor hyperchaotic map with extreme multistability

H Bao, Y Gu, Q Xu, X Zhang, B Bao - Chaos, Solitons & Fractals, 2022 - Elsevier
Discrete memristors can be used to construct chaotic and hyperchaotic map** models by
self-feedback or coupling method, but these constructed maps do not have multistability or …

Megastability: Coexistence of a countable infinity of nested attractors in a periodically-forced oscillator with spatially-periodic dam**

JC Sprott, S Jafari, AJM Khalaf, T Kapitaniak - The European Physical …, 2017 - Springer
Megastability: Coexistence of a countable infinity of nested attractors in a periodically-forced
oscillator with spatially-perio Page 1 Eur. Phys. J. Special Topics 226, 1979–1985 (2017) © …

A conservative memristive system with amplitude control and offset boosting

X Zhang, C Li, E Dong, Y Zhao, Z Liu - International Journal of …, 2022 - World Scientific
Based on a variable-boostable chaotic system, a conservative chaotic system with
controllable amplitude and offset is proposed. The system exhibits rich symmetrical …

[HTML][HTML] Dynamical analysis of a new multistable chaotic system with hidden attractor: Antimonotonicity, coexisting multiple attractors, and offset boosting

A Bayani, K Rajagopal, AJM Khalaf, S Jafari… - Physics Letters A, 2019 - Elsevier
Analyzing chaotic systems with coexisting and hidden attractors has been receiving much
attention recently. In this article, we analyze a four dimensional chaotic system which has a …

Bursting oscillations and coexisting attractors in a simple memristor-capacitor-based chaotic circuit

N Wang, G Zhang, H Bao - Nonlinear Dynamics, 2019 - Springer
The design and analysis of a simple autonomous memristive chaotic circuit are important in
theoretical, numerical, and experimental demonstrations of complex dynamics. In this paper …

Simple chaotic 3D flows with surfaces of equilibria

S Jafari, JC Sprott, VT Pham, C Volos, C Li - Nonlinear Dynamics, 2016 - Springer
Using a systematic computer search, twelve simple three-dimensional chaotic flows were
found that have surfaces of equilibria. Although there are some four-dimensional systems …

Controlling extreme multistability of memristor emulator-based dynamical circuit in flux–charge domain

M Chen, M Sun, B Bao, H Wu, Q Xu, J Wang - Nonlinear Dynamics, 2018 - Springer
Memristive circuit with infinitely many equilibrium points can exhibit the special phenomenon
of extreme multistability, whose dynamics mechanism and physical control are significant …

A unique chaotic snap system with a smoothly adjustable symmetry and nonlinearity: Chaos, offset-boosting, antimonotonicity, and coexisting multiple attractors

GD Leutcho, J Kengne - Chaos, Solitons & Fractals, 2018 - Elsevier
This work proposes and systematically investigates the dynamics of a novel snap system
with a single parameterized nonlinearity in the form φ k (z)= 0.5 (exp (kz)− exp (− z)). The …