Recurrence Time of a Dynamical System
- 1 August 1958
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 111 (3) , 689-694
- https://doi.org/10.1103/physrev.111.689
Abstract
Poincaré cycles of a many-particle 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.Keywords
This publication has 4 references indexed in Scilit:
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- Poincaré RecurrencesPhysical Review B, 1956
- Another Proof of Kronecker's TheoremProceedings of the London Mathematical Society, 1923
- ber die Gleichverteilung von Zahlen mod. EinsMathematische Annalen, 1916