WorldCat Identities

Hanssmann, Heinz

Overview
Works: 3 works in 22 publications in 1 language and 663 library holdings
Roles: Author, Creator
Classifications: QA614.83, 515.39
Publication Timeline
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Most widely held works by Heinz Hanssmann
Local and semi-local bifurcations in Hamiltonian dynamical systems : results and examples by Heinz Hanssmann( Book )

20 editions published in 2007 in English and held by 269 WorldCat member libraries worldwide

Once again KAM theory is committed in the context of nearly integrable Hamiltonian systems. While elliptic and hyperbolic tori determine the distribution of maximal invariant tori, they themselves form n-parameter families. Hence, without the need for untypical conditions or external parameters, torus bifurcations of high co-dimension may be found in a single given Hamiltonian system. The text moves gradually from the integrable case, in which symmetries allow for reduction to bifurcating equilibria, to non-integrability, where smooth parametrisations have to be replaced by Cantor sets. Planar singularities and their versal unfoldings are an important ingredient that helps to explain the underlying dynamics in a transparent way
Richard Cushman on the occasion of his 65th birthday( Book )

1 edition published in 2007 in English and held by 1 WorldCat member library worldwide

 
Audience Level
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Audience Level
1
  Kids General Special  
Audience level: 0.57 (from 0.57 for Local and ... to 0.95 for Special is ...)

Local and semi-local bifurcations in Hamiltonian dynamical systems : results and examples
Languages
English (22)

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