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arXiv · 1507.06791

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

S. L. T. de Souza·A. M. Batista·M. S. Baptista·I. L. Caldas·J. M. Balthazar
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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 periodic windows, the ones known as Arnold tongues and also shrimp-shaped structures. Such windows appear in highly organized distribution with typical self-similar structures for the shrimps, and, surprisingly, codimension-2 bifurcation as a point of accumulations for the tongues.

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S. L. T. de Souza, A. M. Batista, M. S. Baptista, I. L. Caldas, J. M. Balthazar. 2015-07-24. Characterization in bi-parameter space of a non-ideal oscillator. https://arxiv.org/abs/1507.06791

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