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 attracto...
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| Format: | Others |
| Language: | English |
| Published: |
2010
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| Online Access: | http://hdl.handle.net/2152/ETD-UT-2009-12-446 |
| Summary: | 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 |
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