A METHOD FOR THE STUDY OF WHISKERED QUASI-PERIODIC AND ALMOST-PERIODIC SOLUTIONS IN FINITE AND INFINITE DIMENSIONAL HAMILTONIAN SYSTEMS

作者：Fontich Ernest^*; de la Llave Rafael; Sire Yannick

来源：Electronic Research Announcements in Mathematical Sciences, 2009, 16(0): 9-22.

DOI：10.3934/era.2009.16.9

• Whiskered tori
• quasi-periodic solutions
• Hamiltonian systems
• quasi-periodic breathers
• coupled oscillators

We describe a method to study the existence of whiskered quasiperiodic solutions in Hamiltonian systems. The method applies to finite dimensional systems and also to lattice systems and to PDE's including some ill posed ones. In coupled map lattices, we can also construct solutions of infinitely many frequencies which do not vanish asymptotically.