Symplectic Twist Maps: Global Variational Techniques
Seiten
2001
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-02-0589-8 (ISBN)
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-02-0589-8 (ISBN)
Concentrating mainly on the theorem of existence of periodic orbits for higher dimensional analogs of twist maps, this book is oriented somewhat toward the open problem of finding orbits of all (in particular, irrational) rotation vectors.
This book concentrates mainly on the theorem of existence of periodic orbits for higher dimensional analogs of Twist maps. The setting is that of a discrete variational calculus and the techniques involve Conley-Zehnder-Morse Theory. They give rise to the concept of ghost tori which are of interest in the dimension 2 case (ghost circles). The debate is oriented somewhat toward the open problem of finding orbits of all (in particular, irrational) rotation vectors.
This book concentrates mainly on the theorem of existence of periodic orbits for higher dimensional analogs of Twist maps. The setting is that of a discrete variational calculus and the techniques involve Conley-Zehnder-Morse Theory. They give rise to the concept of ghost tori which are of interest in the dimension 2 case (ghost circles). The debate is oriented somewhat toward the open problem of finding orbits of all (in particular, irrational) rotation vectors.
Twist maps of the annulus; the Aubry-Mather theorem; ghost circles; symplectic twist maps; periodic orbits for symplectic twist maps of Tn x IRn; invariant manifolds; Hamiltonian systems vs. twist maps; periodic orbits for Hamiltonian systems; generalizations of the Aubry-Mather theorem; generating phases and symplectic topology.
| Erscheint lt. Verlag | 23.11.2001 |
|---|---|
| Reihe/Serie | Advanced Series in Nonlinear Dynamics ; 18 |
| Verlagsort | Singapore |
| Sprache | englisch |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Angewandte Mathematik |
| Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
| ISBN-10 | 981-02-0589-9 / 9810205899 |
| ISBN-13 | 978-981-02-0589-8 / 9789810205898 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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