Long-Time Correlations and Expansion-Rate Spectra of Chaos in Hamiltonian Systems
- 1 June 1990
- journal article
- Published by Oxford University Press (OUP) in Progress of Theoretical Physics
- Vol. 83 (6) , 1065-1070
- https://doi.org/10.1143/ptp.83.1065
Abstract
The repeated sticking of a chaotic orbit to critical tori with an inverse-power distribution of sticking times is shown to produce a universal spectrum of expansion rates Λ of nearby orbits with a linearity with zero slope for 0<Λ<Λ∞ (=Liapunov number), representing the intermittent switching between chaotic sea and chaos border.Keywords
This publication has 1 reference indexed in Scilit:
- Fluctuation theory of recurrent eventsTransactions of the American Mathematical Society, 1949