Symplectic Twist Maps: Global Variational Techniques

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.

Product details

• Authors: C. Gole, Christophe Gole
• Publisher: World Scientific Publishing Company
• Languages: English
• Product format: Hardback
• Released: 23.11.2001
• EAN: 9789810205898
• ISBN: 978-981-02-0589-8
• No. of pages: 324
• Dimensions: 155 mm x 218 mm x 23 mm
• Weight: 612 g
• Series: Advanced Series in Nonlinear Dynamics; Advanced Series in Nonlinear Dynamics; Advanced Nonlinear Dynamics
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Miscellaneous