Fregolente Mendes de Oliveira D, Leonel ED (2013)
Publication Language: English
Publication Status: Published
Publication Type: Journal article, Original article
Publication year: 2013
Publisher: Elsevier
Book Volume: 392
Pages Range: 1762-1769
Journal Issue: 8
DOI: 10.1016/j.physa.2012.12.021
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. (c) 2013 Elsevier B.V. All rights reserved.
APA:
Fregolente Mendes de Oliveira, D., & Leonel, E.D. (2013). Some dynamical properties of a classical dissipative bouncing ball model with two nonlinearities. Physica A-Statistical Mechanics and Its Applications, 392(8), 1762-1769. https://dx.doi.org/10.1016/j.physa.2012.12.021
MLA:
Fregolente Mendes de Oliveira, Diego, and Edson D. Leonel. "Some dynamical properties of a classical dissipative bouncing ball model with two nonlinearities." Physica A-Statistical Mechanics and Its Applications 392.8 (2013): 1762-1769.
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