Reducibility for a Class of Almost-Periodic Differential Equations with Degenerate Equilibrium Point under Small Almost-Periodic Perturbations | Zendy

Wenhua Qiu | Zendy; Jianguo Si | Zendy

Open Access

Reducibility for a Class of Almost-Periodic Differential Equations with Degenerate Equilibrium Point under Small Almost-Periodic Perturbations

Author(s) -

Wenhua Qiu,

Jianguo Si

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/386812

Subject(s) - mathematics , degenerate energy levels , equilibrium point , affine transformation , mathematical analysis , differential equation , class (philosophy) , periodic function , periodic sequence , point (geometry) , pure mathematics , physics , geometry , quantum mechanics , artificial intelligence , computer science

This paper focuses on almost-periodic time-dependent perturbations of an almost-periodic differential equation near the degenerate equilibrium point. Using the KAM method, the perturbed equation can be reduced to a suitable normal form with zero as equilibrium point by an affine almost-periodic transformation. Hence, for the equation we can obtain a small almost-periodic solution

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