Measure and Capacity of Wandering Domains in Gevrey Near-Integrable Exact Symplectic Systems

ISBN-13: 9781470434922 / Angielski / Miękka / 2018 / 106 str.

Laurent Lazzarini;Jean-Pierre Marco;David Sauzin

Spis treści

• Introduction
• Presentation of the results
• Stability theory for Gevrey near-integrable maps
• A quantitative KAM result--proof of Part (i) of Theorem D
• Coupling devices, multi-dimensional periodic domains, wandering domains
• Appendices
• Appendix A. Algebraic operations in $\mathscr O_k$
• Appendix B. Estimates on Gevrey maps
• Appendix C. Generating functions for exact symplectic $C^\infty $ maps
• Appendix D. Proof of Lemma 2.5
• Bibliography.