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 LeraySchauder Continuation Theorem.

Automated summary

This paper focuses on a specific type of quasi-periodic systems with a small parameter, whose unperturbed part has a degenerate equilibrium point. The existence of response solutions for many sufficiently small parameters is proven, based on formal KAM techniques and the LeraySchauder Continuation Theorem.