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Parametry
- 258 stron
- 10 godzin czytania
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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.
Zakup książki
Lecture Notes in Mathematics - 1893: Local and Semi-Local Bifurcations in Hamiltonian Dynamical Systems, Heinz Hanßmann
- Język
- Rok wydania
- 2006
- Oprawa
- (miękka)
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- Tytuł
- Lecture Notes in Mathematics - 1893: Local and Semi-Local Bifurcations in Hamiltonian Dynamical Systems
- Podtytuł
- Results and Examples
- Język
- angielski
- Autorzy
- Heinz Hanßmann
- Wydawca
- Springer
- Rok wydania
- 2006
- Oprawa
- miękka
- Liczba stron
- 258
- ISBN10
- 354038894X
- ISBN13
- 9783540388944
- Seria
- Tagi
- Nauki przyrodnicze, Nauka, Zachodnia Europa, Fizyka teoretyczna, Analiza matematyczna, Dowodzenie
- Opis
- 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.