Recurrence-time statistics in non-Hamiltonian volume-preserving maps and flows
Recurrence-time statistics in non-Hamiltonian volume-preserving maps and flows
We analyze the recurrence-time statistics (RTS) in three-dimensional non-Hamiltonian volume-preserving systems (VPS): an extended standard map and a fluid model. The extended map is a standard map weakly coupled to an extra dimension which contains a deterministic regular, mixed (regular and chaotic), or chaotic motion. The extra dimension strongly enhances …