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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 . Dynamics . Hamiltonian systems . System analysis . Authors: Calogero, Francesco . Corporate Authors: Oxford Scholarship Online . Classification: 515.39 (DDC 23) .

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Isochronous systems

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