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Quasi-Periodic Motions in Families of Dynamical Systems: Order Amidst Chaos

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Description:This book is on Kolmogorov-Arnol'd-Moser theory for quasi-periodic tori in dynamical systems. It gives an up-to-date report on the role parameters play for persis- tence of such tori, typically occuring on Cantor sets of positive Hausdorff measure inside phase and parameter space. The cases with preservation of symplectic or volume forms or time-reversal symmetries are included. The concepts of Whitney-smoothness and Diophantine approximation of Cantor sets on submanifolds of Euclidean space are treated, as well as Bruno's theory on analytic continuation of tori. Partly this material is new to Western mathematicians. The reader should be familiar with dynamical systems theory, differen- tial equations and some analysis. The book is directed to researchers, but its entrance level is introductory.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Quasi-Periodic Motions in Families of Dynamical Systems: Order Amidst Chaos. To get started finding Quasi-Periodic Motions in Families of Dynamical Systems: Order Amidst Chaos, you are right to find our website which has a comprehensive collection of manuals listed.
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Pages: —

Format: PDF, EPUB & Kindle Edition

Publisher: Springer

Release: 1997

ISBN: 3540496130

Description: This book is on Kolmogorov-Arnol'd-Moser theory for quasi-periodic tori in dynamical systems. It gives an up-to-date report on the role parameters play for persis- tence of such tori, typically occuring on Cantor sets of positive Hausdorff measure inside phase and parameter space. The cases with preservation of symplectic or volume forms or time-reversal symmetries are included. The concepts of Whitney-smoothness and Diophantine approximation of Cantor sets on submanifolds of Euclidean space are treated, as well as Bruno's theory on analytic continuation of tori. Partly this material is new to Western mathematicians. The reader should be familiar with dynamical systems theory, differen- tial equations and some analysis. The book is directed to researchers, but its entrance level is introductory.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Quasi-Periodic Motions in Families of Dynamical Systems: Order Amidst Chaos. To get started finding Quasi-Periodic Motions in Families of Dynamical Systems: Order Amidst Chaos, you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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Quasi-Periodic Motions in Families of Dynamical Systems: Order Amidst Chaos

Quasi-Periodic Motions in Families of Dynamical Systems: Order Amidst Chaos

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