A generalised incomplete no-equilibria transformation method to construct a hidden multi-scroll system with no-equilibrium
by Lihong Tang; Zongmei He; Yanli Yao; Ce Yang
International Journal of Computational Science and Engineering (IJCSE), Vol. 27, No. 1, 2024

Abstract: At present, there is a lot of research on multi-scroll chaotic systems with equilibrium points. However, there are few studies on no-equilibrium multi-scroll chaotic systems. This paper proposes a generalised incomplete no-equilibrium transformation method to design no-equilibrium multi-scroll chaotic systems. Firstly, a no-equilibrium chaotic system is constructed by adopting the proposed method. Phase plots and Lyapunov exponents show that the constructed no-equilibrium chaotic system can generate hidden hyperchaotic attractors. Then, a no-equilibrium multi-scroll hyperchaotic system is realised by introducing multi-level logic pulse signals. Theoretical analysis and numerical simulation show that the designed no-equilibrium multi-scroll hyperchaotic system can generate hidden multidirectional multi-double-scroll attractors including 1D, 2D, and 3D hidden multi-scroll hyperchaotic attractors. Finally, an analogue circuit of the no-equilibrium multi-scroll hyperchaotic system is implemented by using commercial electronic elements. Various typical hidden multi-scroll attractors are verified on MULTISIM platform.

Online publication date: Thu, 25-Jan-2024

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