Some dynamical properties of a classical dissipative bouncing ball model with two nonlinearities

Diego F.M. Oliveira and Edson D. Leonel

Physica A: Statistical Mechanics and its Applications, 2013, vol. 392, issue 8, 1762-1769

Abstract: Some dynamical properties for a bouncing ball model are studied. We show that when dissipation is introduced the structure of the phase space is changed and attractors appear. Increasing the amount of dissipation, the edges of the basins of attraction of an attracting fixed point touch the chaotic attractor. Consequently the chaotic attractor and its basin of attraction are destroyed given place to a transient described by a power law with exponent −2. The parameter-space is also studied and we show that it presents a rich structure with infinite self-similar structures of shrimp-shape.

Keywords: Chaos; Fermi-map; Boundary crisis (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:392:y:2013:i:8:p:1762-1769

DOI: 10.1016/j.physa.2012.12.021

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