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 dynamicalsystems, including integrable and nonintegrable models, with a finite or infinite number of degrees of freedom. It might be used as a basic textbook, or asbackup material for an undergraduate or graduate course INDICE: 1. Introduction. 2. Isochronous systems are not rare. 3. A single ODE of arbitrary order. 4. Systems of ODEs: many-body problems, nonlinear harmonic oscillators. 5. Isochronous Hamiltonian systems are not rare. 6. Asymptotically isochronous systems. 7. Isochronous PDEs. 8. Outlook. Appendix A: Some useful identities. Appendix B: Two proofs. Appendix C: Diophantine findings and conjectures
- ISBN: 978-0-19-953528-6
- Editorial: Oxford University
- Encuadernacion: Cartoné
- Páginas: 264
- Fecha Publicación: 01/02/2008
- Nº Volúmenes: 1
- Idioma: Inglés