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| Titel |
Phase space structure and fractal trajectories in 1½ degree of freedom Hamiltonian systems whose time dependence is quasiperiodic |
| VerfasserIn |
M. G. Brown |
| Medientyp |
Artikel
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| Sprache |
Englisch
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| ISSN |
1023-5809
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| Digitales Dokument |
URL |
| Erschienen |
In: Nonlinear Processes in Geophysics ; 5, no. 2 ; Nr. 5, no. 2, S.69-74 |
| Datensatznummer |
250002322
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| Publikation (Nr.) |
 copernicus.org/npg-5-69-1998.pdf |
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| Zusammenfassung |
| We consider particle motion in nonautonomous 1 degree of
freedom Hamiltonian systems for which H(p,q,t) depends on N periodic
functions of t with incommensurable frequencies. It is shown that in
near-integrable systems of this type, phase space is partitioned into nonintersecting
regular and chaotic regions. In this respect there is no different between the N
= 1 (periodic time dependence) and the N = 2, 3, ... (quasi-periodic time
dependence) problems. An important consequence of this phase space structure is that the
mechanism that leads to fractal properties of chaotic trajectories in systems with N
= 1 also applies to the larger class of problems treated here. Implications of the results
presented to studies of ray dynamics in two-dimensional incompressible fluid flows are
discussed. |
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