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Influence of classical resonances on chaotic tunneling

Mouchet, Amaury ; Eltschka, Christopher ; Schlagheck, Peter
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Date of publication of this fulltext: 05 Aug 2009 13:33


Abstract

Dynamical tunneling between symmetry-related stable modes is studied in the periodically driven pendulum. We present strong evidence that the tunneling process is governed by nonlinear resonances that manifest within the regular phase-space islands on which the stable modes are localized. By means of a quantitative numerical study of the corresponding Floquet problem, we identify the trace of ...

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