Transition from quasiperiodicity to chaos of a soliton oscillator
- Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)
We study the properties of the quasiperiodic attractors of the driven and damped sine-Gordon system close to the onset of chaotic dynamics. Our system is a perturbed sine-Gordon equation with ac and dc forcing terms over a finite-sized spatial interval. In this system the quasiperiodic trajectories are generated by the incommensurability of the soliton oscillation and external drive frequencies. For increasing values of the ac drive amplitude the attractors of the system, displayed in a spatially averaged Poincare section, present the characteristic folding and mixing properties of the transition to chaos through quasiperiodicity. In the parameter plane that we scan, the basic features of the transition are not dependent upon the particular ac drive amplitude and frequency causing the transition. Analysis of the singularity spectrum [ital f]([alpha]) of several attractors at the chaotic threshold exhibits general features of the transition.
- OSTI ID:
- 7069598
- Journal Information:
- Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States), Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States) Vol. 49:5; ISSN 1063-651X; ISSN PLEEE8
- Country of Publication:
- United States
- Language:
- English
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