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

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dc.creatorFesta, R.
dc.creatorMazzino, A.
dc.creatorVincenzi, D.
dc.date2000-12-06
dc.date.accessioned2026-07-07T05:33:11Z
dc.date.available2026-07-07T05:33:11Z
dc.descriptionThe 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.
dc.description4 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/nlin/0012009
dc.identifierhttp://arxiv.org/abs/nlin/0012009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79912
dc.subjectChaotic Dynamics
dc.titleAt the very origin of chaos in three-dimensional dynamical systems
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