A KAM theorem for reversible systems of infinite dimension. (English) Zbl 1129.37043
Summary: For reversible systems of infinite dimension we prove an infinite-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.
MSC:
| 37K55 | Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems |
| 34C15 | Nonlinear oscillations and coupled oscillators for ordinary differential equations |
| 34C27 | Almost and pseudo-almost periodic solutions to ordinary differential equations |
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