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- 258 Seiten
- 10 Lesestunden
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This book demonstrates that while elliptic and hyperbolic tori determine the distribution of maximal invariant tori, they themselves form n-parameter families. Therefore, torus bifurcations of high co-dimension may be found in a single given Hamiltonian system, absent untypical conditions or external parameters. The text moves logically from the integrable case, in which symmetries allow for reduction to bifurcating equilibria, to non-integrability, where smooth parametrisations must be replaced by Cantor sets.
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Lecture Notes in Mathematics - 1893: Local and Semi-Local Bifurcations in Hamiltonian Dynamical Systems, Heinz Hanßmann
- Sprache
- Erscheinungsdatum
- 2006
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- (Paperback)
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- Titel
- Lecture Notes in Mathematics - 1893: Local and Semi-Local Bifurcations in Hamiltonian Dynamical Systems
- Untertitel
- Results and Examples
- Sprache
- Englisch
- Autor*innen
- Heinz Hanßmann
- Verlag
- Springer
- Erscheinungsdatum
- 2006
- Einband
- Paperback
- Seitenzahl
- 258
- ISBN10
- 354038894X
- ISBN13
- 9783540388944
- Reihe
- Schlagwörter
- Sachbücher, Wissenschaft & Mathematik, Naturwissenschaften, Wissenschaft, Mathematik, Physik, Westeuropa, Theoretische Physik, Mathematische Analyse, Beweisführung
- Beschreibung
- This book demonstrates that while elliptic and hyperbolic tori determine the distribution of maximal invariant tori, they themselves form n-parameter families. Therefore, torus bifurcations of high co-dimension may be found in a single given Hamiltonian system, absent untypical conditions or external parameters. The text moves logically from the integrable case, in which symmetries allow for reduction to bifurcating equilibria, to non-integrability, where smooth parametrisations must be replaced by Cantor sets.