{"product_id":"local-and-semi-local-bifurcations-in-hamiltonian-dynamical-systems-results-and-examples-9783540388944","title":"Local and Semi-Local Bifurcations in Hamiltonian Dynamical Systems: Results and Examples","description":"\u003cp\u003e • Author(s): Heinz Hanßmann\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: Differential Equations - General\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eFrom the Back Cover\u003c\/b\u003e\u003cbr\u003eOnce 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 \u003cem\u003en-\u003c\/em\u003eparameter 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.\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Paperback","offer_id":45277849059479,"sku":"9783540388944","price":3302.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9783540388944.webp?v=1769289352","url":"https:\/\/atlanticbooks.com\/products\/local-and-semi-local-bifurcations-in-hamiltonian-dynamical-systems-results-and-examples-9783540388944","provider":"Atlantic Books","version":"1.0","type":"link"}