Isochronous Systems

"Francesco Calogero (Department of Physics, University of Rome ""La Sapienza"")"

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English

Oxford University Press
01 August 2012

Applied mathematics; Maths for scientists; Statistical physics; Maths for engineers

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.

By: "Francesco Calogero (Department of Physics University of Rome ""La Sapienza"")"
Imprint: Oxford University Press
Country of Publication: United Kingdom
Dimensions: Height: 234mm, Width: 168mm, Spine: 14mm
Weight: 406g
ISBN: 9780199657520
ISBN 10: 0199657521
Pages: 264
Publication Date: 01 August 2012
Audience: College/higher education , Further / Higher Education , Further / Higher Education
Format: Paperback
Publisher's Status: Active

"Francesco Calogero, Department of Physics, University of Rome ""La Sapienza"""

Reviews for Isochronous Systems

An interesting reading offering the possibility to explore a new and beautiful direction. Adrian Constantin, University of Lund The book is full of character and written in a colloquial manner. Overall, I did enjoy reading this book and I warmly recommend it to all researchers interested in dynamical systems, in particular integrable and super-integrable systems. Cristina Stoica, Mathematical Reviews