Recurrence Time of a Dynamical System
Abstract
Poincaré cycles of a manyparticle system are exemplified by the motion of a linear chain. It is shown that the recurrence time increases in an approximately exponential way with the number of degrees of freedom, and as a power of the sharpness with which the recurrent state is specified. An explicit formula is given which is applicable to other separable dynamical systems as well.
 Publication:

Physical Review
 Pub Date:
 August 1958
 DOI:
 10.1103/PhysRev.111.689
 Bibcode:
 1958PhRv..111..689H