Exploring Coexisting Attractors in a 5D Chaotic System

Abstract

The present study delves into the chaotic behavior of a 5D system. The system is a variation of a reported mechanical system, that was composed of a mass-spring-damper structure with cubic stiffness and an external excitation from a power-limited CD electric motor, driven by an unbalanced rotating mass causing a non-ideal excitation. The dynamical behavior of the new system is studied using a range of techniques, including phase portraits, bifurcation diagrams, continuation diagrams, and calculation of Lyapunov exponents. Numerical simulations illustrate the qualitative behavior of the system and distinguish the phenomenon of coexisting attractors, which are present for a range of parameter values. Sets of two and three coexisting attractors are observed.

Keywords

• Chaos
• Nonlinear system
• Coexisting attractors
• Antimonotonicity
• 5D chaotic system

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