Phase space structure and fractal trajectories in 1½ degree of freedom Hamiltonian systems whose time dependence is quasiperiodicReport as inadecuate




Phase space structure and fractal trajectories in 1½ degree of freedom Hamiltonian systems whose time dependence is quasiperiodic - Download this document for free, or read online. Document in PDF available to download.

1 RSMAS - Rosenstiel School of Marine and Atmospheric Science

Abstract : We consider particle motion in nonautonomous 1 degree of freedom Hamiltonian systems for which Hp,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.





Author: M. G. Brown -

Source: https://hal.archives-ouvertes.fr/



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