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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Local and Semi-Local Bifurcations in Hamiltonian Dynamical Systems: Results and Examples

Local and Semi-Local Bifurcations in Hamiltonian Dynamical Systems: Results and Examples

Hanßmann, Heinz

Paperback

Series: Lecture Notes in Mathematics, Book 1893

General MathematicsPhysics

ISBN10: 354038894X
ISBN13: 9783540388944
Publisher: Springer Nature
Published: Oct 5 2006
Pages: 242
Weight: 0.89
Height: 0.60 Width: 6.38 Depth: 9.24
Language: English

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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