The Sufficient and Necessary Condition of Lagrange Stability of Quasi-Periodic Pendulum Type Equations

The Sufficient and Necessary Condition of Lagrange Stability of Quasi-Periodic Pendulum Type Equations

Year:    2010

Author:    Fuzhong Cong, Xin Liang, Yuecai Han

Communications in Mathematical Research , Vol. 26 (2010), Iss. 1 : pp. 76–84

Abstract

The quasi-periodic pendulum type equations are considered. A sufficient and necessary condition of Lagrange stability for this kind of equations is obtained. The result obtained answers a problem proposed by Moser under the quasi-periodic case.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2010-CMR-19179

Communications in Mathematical Research , Vol. 26 (2010), Iss. 1 : pp. 76–84

Published online:    2010-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    9

Keywords:    Lagrange stability pendulum type equation KAM theorem.

Author Details

Fuzhong Cong

Xin Liang

Yuecai Han