Isochronous Systems at Meripustak

Isochronous Systems

Books from same Author: Calogero and F

Books from same Publisher: Oxford University Press

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  • General Information  
    Author(s)Calogero and F
    PublisherOxford University Press
    ISBN9780199657520
    Pages264
    BindingPaperback
    LanguageEnglish
    Publish YearSeptember 2012

    Description

    Oxford University Press Isochronous Systems by Calogero and F

    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.