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Reducibility for a class of nonlinear quasi-periodic differential equations with degenerate equilibrium point under small perturbation

Published online by Cambridge University Press:  10 March 2010

JUNXIANG XU  and
SHUNJUN JIANG
JUNXIANG XU
Affiliation:
Department of Mathematics, Southeast University, Nanjing 210096, PR China (email: [email protected])
SHUNJUN JIANG
Affiliation:
Department of Mathematics, Southeast University, Nanjing 210096, PR China (email: [email protected])
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Abstract

In this paper, using the Kolmogorov–Arnold–Moser method we prove reducibility of a class of nonlinear quasi-periodic differential equation with degenerate equilibrium point under small perturbation and obtain a quasi-periodic solution near the equilibrium point.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 31 , Issue 2 , April 2011 , pp. 599 - 611
Copyright
Copyright © Cambridge University Press 2010

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