Response solutions of a class of degenerate quasi-periodic systems with a small parameter
Response solutions of a class of degenerate quasi-periodic systems with a small parameter
This paper considers a special class of quasi-periodic systems with a small parameter, whose unperturbed part has a degenerate equilibrium point. We prove the existence of response solutions for many sufficiently small parameters. The proof is based on some formal KAM techniques and the Leray-Schauder Continuation Theorem.