A novel 3D chaotic system with line equilibrium: multistability, integral sliding mode control, electronic circuit, FPGA implementation and its image encryption

A Sambas, S Vaidyanathan, X Zhang, I Koyuncu… - IEEE …, 2022 - ieeexplore.ieee.org
This paper announces a novel three-dimensional chaotic system with line equilibrium and
discusses its dynamic properties such as Lyapunov exponents, phase portraits, equilibrium …

Coexistence of hidden attractors in the smooth cubic Chua's circuit with two stable equilibria

I Ahmad, B Srisuchinwong… - International Journal of …, 2023 - World Scientific
Since the invention of Chua's circuit, numerous generalizations based on the substitution of
the nonlinear function have been reported. One of the generalizations is obtained by …

Two-parameter bifurcations and hidden attractors in a class of 3D linear Filippov systems

Z Wei, F Wang - International Journal of Bifurcation and Chaos, 2024 - World Scientific
We take into consideration two different kinds of two-parameter bifurcations in a class of 3D
linear Filippov systems, namely pseudo-Bautin bifurcation and boundary equilibrium …

Initial-condition effects on a two-memristor-based Jerk system

H Bao, R Ding, M Hua, H Wu, B Chen - Mathematics, 2022 - mdpi.com
Memristor-based systems can exhibit the phenomenon of extreme multi-stability, which
results in the coexistence of infinitely many attractors. However, most of the recently …

Qualitative analysis of a new 6D hyper-chaotic system via bifurcation, the Poincaré notion, and its circuit implementation

D Khattar, N Agrawal, M Sirohi - Indian Journal of Physics, 2024 - Springer
This research article mainly focuses on the development of a new six-dimensional
dynamical system, principally based on the Lü system. The dynamic characteristics of this …

Multiple attractors in a novel simple 4D hyperchaotic system with chaotic 2-torus and its circuit implementation

SF Al-Azzawi, MA Al-Hayali - Indian Journal of Physics, 2023 - Springer
In n-dimensional systems, finding of (n-2) positive Lyapunov exponents (LEs) with the
largest Lyapunov exponents is more motivating, vital, and hard compared to other traditional …

Initial-condition effects on ReLU-type hyper-jerk system and its application in image encryption

Y Zhang, D Peng, C Chen, G Zhao, X Zhang - Physica Scripta, 2023 - iopscience.iop.org
The memristive hyper-jerk system described in this study has a non-smooth Rectified Linear
Unit (ReLU) memductance function. A non-smooth memductance function of this kind might …

A simple conservative chaotic oscillator with line of equilibria: Bifurcation plot, basin analysis, and multistability

D Veeman, H Natiq, AMA Ali, K Rajagopal… - …, 2022 - Wiley Online Library
Here, a novel conservative chaotic oscillator is presented. Various dynamics of the oscillator
are examined. Studying the dynamical properties of the oscillator reveals its unique …

Dynamical behavior of a new chaotic system with one stable equilibrium

V MD, A Karthikeyan, J Zivcak, O Krejcar, H Namazi - Mathematics, 2021 - mdpi.com
This paper reports a simple three-dimensional autonomous system with a single stable node
equilibrium. The system has a constant controller which adjusts the dynamic of the system. It …

Infinitely many necklace-shaped coexisting attractors in a nonautonomous memcapacitive oscillator

B Chen, X Cheng, H Wu, B Bao, Q Xu - International Journal of …, 2022 - World Scientific
Extreme multistability usually emerges in a mem-element's circuit or system that possesses
a line or plane equilibrium set closely associated with the internal initial state of the mem …