To the problem of Poincare recurrences in generic Hamiltonian systems

TL;DR

This paper investigates the long-term decay behavior of Poincare recurrences in area-preserving maps, exploring their universality and implications for generic Hamiltonian systems.

Contribution

It analyzes the decay of Poincare recurrences and discusses their universal properties in the context of Hamiltonian dynamics.

Findings

Decay of Poincare recurrences exhibits universal behavior.

Results relate to previous studies on Hamiltonian systems.

Provides insights into long-time dynamics of area-preserving maps.

Abstract

We discuss the problem of Poincare recurrences in area-preserving maps and the universality of their decay at long times. The work is related to to the results presented in Refs. [1,2].