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

Al-Azzawi, Saad Fawzi; Al-Hayali, Maryam A.

doi:10.1007/s12648-022-02483-0

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2023

2024

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Cited by 3 publications

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“…There has been a great deal of interest in this subject from researchers. Chaos is now studied and applied in many disciplines, such as meteorology, astronomy, pure mathematics, space-time theory, secure communication [3] and circuit design [4], etc.…”

Section: Introducementioning

confidence: 99%

Fixed-time synchronization of fractional-order chameleon hyperchaotic systems based on hyperbolic sliding mode

Li,

Zhao,

Yang

2023

Preprint

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This paper proposes a new control method for a four-dimensional hyperchaotic system using the terminal sliding mode control. It eliminates the need for the traditional activation function by replacing it with a hyperbolic tangent function. This method effectively deals with the effects of parameter uncertainties and external disturbances in the systems, also eliminates the chattering phenomenon in the synchronous process, enables the response system and the drive system to reach the synchronization state in a fixed time. Finally, numerical simulations with MATLAB software were applied to verify the effectiveness of this fixed time convergence technique.

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Section: Introducementioning

confidence: 99%