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Reconnection of Stable/Unstable Manifolds of the Harper Map

Shigeru Ajisaka·Shuichi Tasaki
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Abstract

The Harper map is one of the simplest chaotic systems exhibiting reconnection of invariant manifolds. The method of asymptotics beyond all orders (ABAO) is used to construct stable/unstable manifolds of the Harper map. When the parameter changes to the reconnection threshold, the stable/unstable manifolds are shown to acquire new oscillatory portion corresponding to the heteroclinic tangle after the reconnection.

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Shigeru Ajisaka, Shuichi Tasaki. 2005-01-24. Reconnection of Stable/Unstable Manifolds of the Harper Map. https://doi.org/10.1088/1742-6596%2F31%2F1%2F066

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