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Drastic Facilitation of the Onset of Global Chaos
- Source :
- Scopus-Elsevier
- Publication Year :
- 2003
- Publisher :
- American Physical Society (APS), 2003.
-
Abstract
- We show that the onset of global chaos in a time periodically perturbed Hamiltonian system may occur at unusually small magnitudes of perturbation if the unperturbed system possesses more than one separatrix. The relevant scenario is the combination of the overlap in the phase space between resonances of the same order and their overlap in energy with chaotic layers associated with separatrices of the unperturbed system. We develop the asymptotic theory and verify it in simulations.
Details
- ISSN :
- 10797114 and 00319007
- Volume :
- 90
- Database :
- OpenAIRE
- Journal :
- Physical Review Letters
- Accession number :
- edsair.doi.dedup.....df19cbfe0fb4a978e21c67b596ee7406