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[null,"1.","Record Nr.",null,"UNISA996466626003316"]
[null,null,"Autore",null,"Hanssmann Heinz"]
[null,null,"Titolo",null,"Local and semi-local bifurcations in Hamiltonian dynamical systems : results and examples / / Heinz Hanssmann"]
[null,null,"Pubbl/distr/stampa",null,"Berlin, Germany : , : Springer, , [2007]"]
[{"$nulls":4},"©2007"]
[null,null,"ISBN",null,"3-540-38896-6"]
[null,null,"Edizione",null,"[1st ed. 2007.]"]
[null,null,"Descrizione fisica",null,"1 online resource (XVI, 242 p. 22 illus.)"]
[null,null,"Collana",null,"Lecture Notes in Mathematics, , 0075-8434 ; ; 1893"]
[null,null,"Disciplina",null,"515.39"]
[null,null,"Soggetti",null,"Bifurcation theory"]
[{"$nulls":4},"Hamiltonian systems"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Bibliographic Level Mode of Issuance: Monograph"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references (pages [219]-233) and index."]
[null,null,"Nota di contenuto",null,"Bifurcations of Equilibria -- Bifurcations of Periodic Orbits -- Bifurcations of Invariant Tori -- Perturbations of Ramified Torus Bundles -- Planar Singularities -- Stratifications -- Normal Form Theory -- Proof of the Main KAM Theorem -- Proofs of the Necessary Lemmata."]
[null,null,null,"Sommario/riassunto","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."]