A new 4-D chaotic hyperjerk system with coexisting attractors, its active backstepping control, and circuit realization

Abstract Mechanical systems such as hyperjerk dynamical systems and their control constitute an attractive research trend in the literature. This chapter proposes a new 4-D chaotic hyperjerk system with a hyperbolic sinusoidal nonlinearity. In this chapter, we aim to control the chaotic behavior of the new hyperjerk mechanical chaotic system with multi-stability and coexisting attractors. We discuss the qualitative behavior of the new hyperjerk system in detail. Backstepping control is applied to control and synchronize the chaos in the proposed hyperjerk system with hyperbolic sinusoidal nonlinearity. A circuit design of the new chaotic hyperjerk dynamical system has been worked out using Multisim to aid the practical implementation of the proposed chaotic hyperjerk system.

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