Multifractality, stickiness, and recurrence-time statistics.
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 Poincaré recurrences. The projection of recurrence time statistics onto the phase space does give relevant information on the hierarchical and microstructures 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.
Univ Estadual Paulista-UNESP, 13506-900 Rio Claro, SP, Brazil and Universidade de São Paulo-USP, 05315-970 São Paulo, SP, Brazil.
C Vieira
CV
Abud
R Egydio
RE
de Carvalho