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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.
Nákup knihy
Lecture Notes in Mathematics - 1893: Local and Semi-Local Bifurcations in Hamiltonian Dynamical Systems, Heinz Hanßmann
- Jazyk
- Rok vydania
- 2006
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- Titul
- Lecture Notes in Mathematics - 1893: Local and Semi-Local Bifurcations in Hamiltonian Dynamical Systems
- Podtitul
- Results and Examples
- Jazyk
- anglicky
- Autori
- Heinz Hanßmann
- Vydavateľ
- Springer
- Rok vydania
- 2006
- Väzba
- mäkká
- Počet strán
- 258
- ISBN10
- 354038894X
- ISBN13
- 9783540388944
- Série
- Štítky
- Náučná literatúra, Veda & Matematika, Prírodné vedy, Veda, Matematika, Fyzika, Západná Európa, Teoretická fyzika, Matematická analýza, Dokazovanie
- Anotácia
- 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.