{"product_id":"9783540388944","title":"Lecture Notes in Mathematics: Results and Examples","description":"\u003ch1\u003eLecture Notes in Mathematics: Results and Examples\u003c\/h1\u003e \u003ch2\u003eHanßmann, Heinz\u003c\/h2\u003e \u003cp\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 \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2006-10-05\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783540388944\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/3-540-38894-X\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 242\u003c\/p\u003e ","brand":"Springer Berlin Heidelberg","offers":[{"title":"Default Title","offer_id":45369684820108,"sku":"9783540388944","price":62.96,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783540388944.jpg?v=1775673700","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783540388944","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}