A NOTE ON QUASI-PERIODIC PERTURBATIONS OF ELLIPTIC EQUILIBRIUM POINTS

DOI10.4134/BKMS.2012.49.6.1223zbMath1256.37013MaRDI QIDQ3144988

Hou Yu Zhao

Publication date: 13 December 2012

Published in: Bulletin of the Korean Mathematical Society (Search for Journal in Brave)

Full work available at URL: http://www.mathnet.or.kr/mathnet/kms_content.php?no=410379

zbMATH Keywords

quasi-periodic solutionsKAM theorysmall divisorselliptic pointsquasi-periodic perturbationsnonresonant conditionquasi-periodic Floquet theorem

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Linear ordinary differential equations and systems (34A30) Periodic and quasi-periodic flows and diffeomorphisms (37C55)

Related Items (4)

On the reducibility of analytic quasi-periodic systems with Liouvillean basic frequencies ⋮ On the reducibility of two-dimensional quasi-periodic systems with Liouvillean basic frequencies and without non-degeneracy condition ⋮ On the reducibility of linear quasi-periodic systems with Liouvillean basic frequencies and multiple eigenvalues ⋮ Reducibility of a class of nonlinear quasi-periodic systems with Liouvillean basic frequencies

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