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Master's Dissertation
DOI
10.11606/D.76.1999.tde-10092008-105333
Document
Author
Full name
Marcio Magini
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 1999
Supervisor
Committee
Hornos, Jose Eduardo Martinho (President)
Napolitano, Reginaldo de Jesus
Santos, Antonio Lima
Title in Portuguese
Análise de simetrias nos grupos do tipo Dm usando conceitos de sistemas dinâmicos.
Keywords in Portuguese
Simetria
Sistemas dinâmicos
Teoria de grupos
Abstract in Portuguese
O entendimento de quebra espontânea de simetria é um problema importante para o estudo de fenômenos na evolução de sistemas abertos, tanto em física quanto em química, como também na biologia. Aqui estudamos um método a mais para este tipo de análise, usando conceitos de sistemas dinâmicos com simetria. O sistema dinâmico escolhido é discreto, isto é, realizado por iteração de um difeomorfismo equivariante sob a ação de um grupo compacto, neste caso um grupo finito do tipo Dm. Especificamente, investigamos o comportamento de atratores caóticos sob a variação dos parâmetros.
Title in English
Dynamical analysis of symmetry groups Dm trough dynamical systems concepts.
Keywords in English
Dynamical systems
Group theory
Symmetry
Abstract in English
The understanding of spontaneous symmetry breaking is an important problem in the study of phenomena in the evolution of open systems, in physics and chemistry as well as in biology. Here we study another method for this kind of analysis, using concepts from dynamical systems with symmetry. The chosen dynamical system is discrete, that is, realized by iteration of an equivariant diffeomorphism under the action of a compact group, in this case one of the finite groups of type Dm. Specifically, we investigate the behavior of chaotic attractors under variation of the parameters.
 
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MarcioMaginiM.pdf (2.62 Mbytes)
Publishing Date
2008-09-12
 
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