A KAM theorem for reversible systems of infinite dimension

作者：Shun Qing Chen^*; Xiao Ping Yuan

来源：Acta Mathematica Sinica-English Series, 2007, 23(10): 1777-1796.

DOI：10.1007/s10114-005-0887-8

• kAM theorem
• reversible system
• weakly coupled oscillators

For reversible systems of infinite dimension we prove an infinitely dimensional KAM theorem with an application to the network of weakly coupled oscillators of friction. The KAM theorem shows that there are many invariant tori of infinite dimension, and thus many almost periodic solutions, for the reversible systems.

• 出版日期2007-10
• 单位复旦大学