At the very origin of chaos in three-dimensional dynamical systems

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The mechanism responsible for the emergence of chaotic behavior has been identified analytically within a class of three-dimensional dynamical systems which generalize the well-known E.N. Lorenz 1963 system. The dynamics in the phase space has been reformulated in terms of a first-exit-time problem. Chaos emerges due to discontinuous solutions of a transcendental problem ruling the time for a particle to cross a potential wall. Numerical results point toward the genericity of the new found mechanism.
4 pages, 4 figures

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Chaotic Dynamics

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http://salesiana.dossiersoluciones.com/handle/123456789/79912

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0012009
 http://arxiv.org/abs/nlin/0012009

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arXiv