Crises in a dissipative bouncing ball model

Autor(es)

Livorati, Andre L. P. ^{[1, 2, 3]} ; Caldas, Ibere L. ^[3] ; Dettmann, Carl P. ^[2] ; Leonel, Edson D. ^[1]

Afiliação do(s) autor(es)

^[1] Univ Estadual Paulista, UNESP, Dept Fis, BR-13506900 Rio Claro, SP - Brazil

^[2] Univ Bristol, Sch Math, Bristol BS8 1TW, Avon - England

^[3] Univ Sao Paulo, IFUSP, Inst Fis, BR-05314970 Sao Paulo, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Physics Letters A; v. 379, n. 43-44, p. 2830-2838, NOV 6 2015.
• Citações Web of Science: 10

Resumo

The dynamics of a bouncing ball model under the influence of dissipation is investigated by using a two-dimensional nonlinear mapping. When high dissipation is considered, the dynamics evolves to different attractors. The evolution of the basins of the attracting fixed points is characterized, as we vary the control parameters. Crises between the attractors and their boundaries are observed. We found that the multiple attractors are intertwined, and when the boundary crisis between their stable and unstable manifolds occurs, it creates a successive mechanism of destruction for all attractors originated by the sinks. Also, a physical impact crisis is described, an important mechanism in the reduction of the number of attractors. (C) 2015 Elsevier B.V. All rights reserved. (AU)

• Processo FAPESP: 12/23688-5 - Expoentes e leis de escala, transições de fase e propriedades de transporte em sistemas dependentes do tempo
• Beneficiário: Edson Denis Leonel
• Linha de fomento: Auxílio à Pesquisa - Regular
• Processo FAPESP: 11/19296-1 - Dinâmica não linear
• Beneficiário: Iberê Luiz Caldas
• Linha de fomento: Auxílio à Pesquisa - Temático
• Processo FAPESP: 14/25316-3 - Estudo de propriedades de difusão e transporte de partículas usando formalismo de escape para sistemas dependentes do tempo
• Beneficiário: André Luís Prando Livorati
• Linha de fomento: Bolsas no Brasil - Pós-Doutorado