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Isochronous Systems

Name: Isochronous Systems
Brand: Oxford University Press
SKU: 01199018
Price: 417.95 RON
Availability: InStock
Author: Francesco Calogero
ISBN: 9780199657520

Francesco Calogero

Limba

engleză

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Codul Libristo: 01199018

Editura Oxford University Press, august 2012

A dynamical system is called isochronous if it features in its phase space an open, fully-dimensiona... Descrierea completă

Codul Libristo: 01199018

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417.95 lei

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A dynamical system is called isochronous if it features in its phase space an open, fully-dimensional region where all its solutions are periodic in all its degrees of freedom with the same, fixed period. Recently a simple transformation has been introduced, applicable to quite a large class of dynamical systems, that yields autonomous systems which are isochronous. This justifies the notion that isochronous systems are not rare. In this book the procedure to manufacture isochronous systems is reviewed, and many examples of such systems are provided. Examples include many-body problems characterized by Newtonian equations of motion in spaces of one or more dimensions, Hamiltonian systems, and also nonlinear evolution equations (PDEs). The book shall be of interest to students and researchers working on dynamical systems, including integrable and nonintegrable models, with a finite or infinite number of degrees of freedom. It might be used as a basic textbook, or as backup material for an undergraduate or graduate course.