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arxiv: 0809.1975 · v1 · pith:RENIJ4G2new · submitted 2008-09-11 · ✦ hep-th · cond-mat.dis-nn· math-ph· math.MP· nlin.CD

Chaotic systems in complex phase space

classification ✦ hep-th cond-mat.dis-nnmath-phmath.MPnlin.CD
keywords complexphasespaceexhibitsystemsadditionallybehaviorschaos
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This paper examines numerically the complex classical trajectories of the kicked rotor and the double pendulum. Both of these systems exhibit a transition to chaos, and this feature is studied in complex phase space. Additionally, it is shown that the short-time and long-time behaviors of these two PT-symmetric dynamical models in complex phase space exhibit strong qualitative similarities.

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