Characterization in bi-parameter space of a non-ideal oscillator

S.L.T. de Souza, A.M. Batista, M.S. Baptista, I.L. Caldas and J.M. Balthazar

Physica A: Statistical Mechanics and its Applications, 2017, vol. 466, issue C, 224-231

Abstract: We investigate the dynamical behavior of a non-ideal Duffing oscillator, a system composed of a mass–spring–pendulum driven by a DC motor with limited power supply. To identify new features on Duffing oscillator parameter space due to the limited power supply, we provide an extensive numerical characterization in the bi-parameter space by using Lyapunov exponents. Following this procedure, we identify remarkable new organized distribution of periodic windows, the ones known as Arnold tongues and also shrimp-shaped structures. In addition, we also identify intertwined basins of attraction for coexisting multiple attractors connected with tongues.

Keywords: Chaos; Arnold tongues; Shrimp-shaped structures; Coupled oscillators (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:466:y:2017:i:c:p:224-231

DOI: 10.1016/j.physa.2016.09.020

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