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2021•Journal of Physics Conference SeriesOpen access

A 4D hyperchaotic Sprott S system with multistability and hidden attractors

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

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Abstract

Abstract This paper derived a new simple hyperchaotic system from the famous Sprott, S system via the linear state feedback control. Compared with the available systems, the new system has eight terms, one constant, two parameters control, and a single quadratic nonlinear term. So this system is considered a simple relying on the number of terms and nonlinearities. The proposed system without equilibrium points and exhibits chaotic hidden attractors. Also, multistability or coexisting attractors are found through experimental simulations using phase portraits and the Lyapunov spectrum. Finally, anti-synchronization is implemented in the new system.

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What this paper is about

Abstract This paper derived a new simple hyperchaotic system from the famous Sprott, S system via the linear state feedback control. Compared with the available systems, the new system has eight terms, one constant, two parameters control, and a single quadratic nonlinear term. So this system is considered a simple relying on the number of terms and nonlinearities. The proposed system without equilibrium points and exhibits chaotic hidden attractors. Also, multistability or coexisting attractors are found through experimental simulations using phase portraits and the Lyapunov spectrum. Finally, anti-synchronization is implemented in the new system.

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Available abstract

Abstract This paper derived a new simple hyperchaotic system from the famous Sprott, S system via the linear state feedback control. Compared with the available systems, the new system has eight terms, one constant, two parameters control, and a single quadratic nonlinear term. So this system is considered a simple relying on the number of terms and nonlinearities. The proposed system without equilibrium points and exhibits chaotic hidden attractors. Also, multistability or coexisting attractors are found through experimental simulations using phase portraits and the Lyapunov spectrum. Finally, anti-synchronization is implemented in the new system.

Key concepts: Multistability, Phase portrait, Attractor, Control theory (sociology), Synchronization (alternating current), Simple (philosophy), Nonlinear system, Chaotic

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