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arXiv · 1807.09492

Highlights of chaos research

George Contopoulos
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Abstract

We describe some highlights in the theory of chaos, that started with Poincare (1899). Generic systems have both ordered and chaotic domains. Chaos appears mainly near un- stable periodic orbits. Large chaotic domains are due to resonance overlap. Two recent developments of the theory of chaos, refer (a) to the analytical formulae (Moser series) in the chaotic domains near unstable periodic orbits, and (b) quantum chaos, described by the Bohmian theory of orbits.

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George Contopoulos. 2018-07-25. Highlights of chaos research. https://arxiv.org/abs/1807.09492

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