Seminário - Matemática - 05/Março - 11h30 - GualtarSEMINÁRIOS DE MATEMÁTICA__________________________________________________________Seminário de

Enviado pelo DMat:

SEMINÁRIOS DE MATEMÁTICA
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Seminário de Análise, Geometria e Física-Matemática
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Título: An algorithm for the classification of global dynamics of multi-parameter systems
Orador: Pawel Pilarczyk (CMat - U.Minho)
Dia: 05 de Março
Local: sala de seminários do DMat (B4009), Gualtar
Hora: 11h30min
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Resumo: We introduce an algorithmic method for obtaining a database of global dynamical behaviours encountered in a multi-parameter family of discrete dynamical systems on a bounded set in $\R^n$. The dynamics is represented by means of a Conley-Morse decomposition, which includes the homological Conley indices of the Morse sets computed in an algorithmic way. Morse decompositions for adjacent parameter boxes are matched and provide rigorous continuation results. A nonlinear overcompensatory Leslie population model is used as a sample application of this method. This is joint work with Zin Arai, William Kalies, Hiroshi Kokubu, Konstantin Mischaikow, and Hiroe Oka.
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Organização conjunta Centro de Matemática - Officina Mathematica