Imbricated chaos in rough potential ϕ6-Rayleigh-Duffing oscillator

A.O. Adelakun, J.B. Dada and E.J. Dansu

Chaos, Solitons & Fractals, 2023, vol. 174, issue C

Abstract: In this paper, a new ϕ6 - Rayleigh–Duffing system with dual potential is examined. Research is being done on the effect of roughness on forced dynamical systems. To evaluate the performance of the system parameters, the resonance oscillations are investigated using the multiple scale method. Both equilibrium points and local stability are calculated, while abrupt changes in the topological characteristics of attractors’ phase portraits are treated as bifurcation-Lyapunov parameters.

Keywords: Roughness; Imbricated chaos; ϕ6 -Rayleigh-Duffing oscillator; Equilibrium points; Stability; Primary resonance (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:174:y:2023:i:c:s0960077923007324

DOI: 10.1016/j.chaos.2023.113831

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