Multifractality, stickiness, and recurrence-time statistics

Autor(es)

Vieira Abud, C. ^{[1, 2]} ; Egydio de Carvalho, R. ^[2]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, BR-05315970 Sao Paulo - Brazil

^[2] Univ Estadual Paulista UNESP, BR-13506900 Rio Claro, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Physical Review E; v. 88, n. 4 OCT 29 2013.
• Citações Web of Science: 11

Resumo

We identify the fine structure of resonance islands and the stickiness in chaos through recurrence time statistics (RTS), which is based on the concept of Poincar e recurrences. The projection of recurrence time statistics onto the phase space does give relevant information on the hierarchical andmicrostructures of the chaotic beach around the islands of a near-integrable system, the annular billiard. These microstructures interfere in the effective transport of a particle in the phase space, which can be observed through RTS. This technique proves also to be a powerful tool to describe the homoclinic tangle of the manifolds within the chaotic sea. (AU)

• Processo FAPESP: 10/20276-2 - Interferência de toros robustos na dinâmica de sistemas não-lineares
• Beneficiário: Ricardo Egydio de Carvalho
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 07/57992-4 - Propriedades de transporte, caos e dissipacao num sistema dinamico nao linear.
• Beneficiário: Celso Vieira Abud
• Modalidade de apoio: Bolsas no Brasil - Mestrado