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A novel 3D chaotic system with line equilibrium: multistability, integral sliding mode control, electronic circuit, FPGA implementation and its image encryption
This paper announces a novel three-dimensional chaotic system with line equilibrium and
discusses its dynamic properties such as Lyapunov exponents, phase portraits, equilibrium …
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
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 …
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 …
linear Filippov systems, namely pseudo-Bautin bifurcation and boundary equilibrium …
Initial-condition effects on a two-memristor-based Jerk system
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 …
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
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 …
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 …
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 …
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
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 …
are examined. Studying the dynamical properties of the oscillator reveals its unique …
Dynamical behavior of a new chaotic system with one stable equilibrium
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 …
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
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 …
a line or plane equilibrium set closely associated with the internal initial state of the mem …