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Reliable computation of invariant dynamics for conservative discrete dynamical systems

Computing reliable numerical approximations of invariant
sets for nonlinear systems is the core problem for computer assisted
study of dynamical systems. In the case of conservative systems the
problem is complicated by the fact that there is no phase space
dissipation to drive orbits onto attractors. In this dissertation we
discuss several contributions to the field of computer assisted
study of invariant dynamics in conservative systems. / text

Identiferoai:union.ndltd.org:UTEXAS/oai:repositories.lib.utexas.edu:2152/ETD-UT-2009-12-446
Date25 August 2010
CreatorsJames, Jason Desmond
Source SetsUniversity of Texas
LanguageEnglish
Detected LanguageEnglish
Typethesis
Formatapplication/pdf

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