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Isochronous Systems (Paperback)
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Isochronous Systems (Paperback)
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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.
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