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Catalogue Information
Field name
Details
Dewey Class
515.39 (DDC 23)
Title
Isochronous systems ([EBook]) / Francesco Calogero.
Author
Calogero, Francesco
Other name(s)
Oxford Scholarship Online
Publication
Oxford, UK : Oxford University Press , 2008
Physical Details
1 online resource
ISBN
9780191715853
Note
Print publication date: 2008 . - Print ISBN-13: 9780199535286. - Published to Oxford Scholarship Online: May 2008
Summary Note
A classical dynamical system is called isochronous if it features in its phase space an open, fully dimensional sector where all its solutions are periodic in all their degrees of freedom with the same, fixed period. Recently, a simple transformation has been introduced, featuring a real parameter ω and reducing to the identity for ω=0. This transformation is applicable to a quite large class of dynamical systems and it yields ω-modified autonomous systems which are isochronous, with period T = 2π/ω. This justifies the notion that isochronous systems are not rare. In this monograph—which covers work done over the last decade by its author and several collaborators—this technology to manufacture isochronous systems is reviewed. Many examples of such systems are provided, including many-body problems characterized by Newtonian equations of motion in spaces of one or more dimensions, Hamiltonian systems, and also nonlinear evolution equations (PDEs: Partial Differential Equations). This monograph shall be of interest to researchers working on dynamical systems, including integrable and nonintegrable models, with a finite or infinite number of degrees of freedom. It shall also appeal to experimenters and practitioners interested in isochronous phenomena. It might be used as basic or complementary textbook for an undergraduate or graduate course.:
Mode of acces to digital resource
Digital reproduction Oxford : Oxford University Press, 2009. - Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in HTML format.
System details note
Online access to this digital book is restricted to subscribing institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1093/acprof:oso/9780199535286.001.0001
Links to Related Works
Subject References:
Differential equations, Nonlinear
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Dynamics
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Hamiltonian systems
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System analysis
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Authors:
Calogero, Francesco
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Corporate Authors:
Oxford Scholarship Online
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Classification:
515.39 (DDC 23)
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