This book will 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 can be used as a textbook or as background reading for an undergraduate or graduate course.
This book will 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 can be used as a textbook or as background reading for an undergraduate or graduate course.
Francesco Calogero Professor of Theoretical Physics, University of Rome "La Sapienza"
Inhaltsangabe
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
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
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