Title of article
Quasi-effective stability for time-dependent nearly integrable Hamiltonian systems
Author/Authors
Cong ، Fuzhong - Aviation University of Air Force , Hao ، Tianchu - Aviation University of Air Force , Feng ، Xue - Aviation University of Air Force
Pages
9
From page
711
To page
719
Abstract
This paper deals with the stability of the orbits for time-dependent nearly integrable Hamiltonian systems. Under the classical non-degeneracy in KAM theory we prove that the considered system possesses quasi-effective stability. Our result generalized the works in [F. Z. Cong, J. L. Hong, H. T. Li, Dyn. Syst. Ser. B, 21 (2016), 67–80] to time-dependent system and gave a connection between KAM theorem and effective stability.
Keywords
Quasi , effective stability , non , degeneracy , time , dependent system
Journal title
Journal of Nonlinear Science and Applications
Serial Year
2019
Journal title
Journal of Nonlinear Science and Applications
Record number
2477110
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