Far East Journal of Dynamical Systems
Volume 3, Issue 1, Pages 51 - 80
(June 2001)
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GLOBAL ATTRACTOR IN QUASI-PERIODICALLY FORCED JOSEPHSON JUNCTIONS
Wenxian Shen (USA)
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Abstract:
A quasi-periodically forced Josephson junction is considered in this paper. It is proved that there is a quasi-periodic one dimensional global attractor in case that the damping coefficient is not small. The dynamics on the global attractor is also investigated, and it is shown that under a suitable condition there is no chaotic dynamics and residually many orbits are almost automorphic. Such a condition is satisfied when the forcing is not large. |
| Keywords and phrases: josephson junction, quasi-periodicity, almost automorphy, global attractor. |
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