Geodesic
Quasi-effective stability for time-dependent nearly integrable Hamiltonian systems
Cong, Fuzhong 1 ; Hao, Tianchu 1 ; Feng, Xue 1
1 Fundamental Department, Aviation University of Air Force Changchun, 130022, People's Republic of China
Journal of nonlinear sciences and its applications, Tome 12 (2019) no. 11, p. 711-719.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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, $\bf 21$ (2016), 67--80] to time-dependent system and gave a connection between KAM theorem and effective stability.
DOI : 10.22436/jnsa.012.11.02
Classification : 37J25, 37J40
Keywords: Quasi-effective stability, non-degeneracy, time-dependent system

Cong, Fuzhong  1 ; Hao, Tianchu  1 ; Feng, Xue  1

1 Fundamental Department, Aviation University of Air Force Changchun, 130022, People's Republic of China 
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Cong, Fuzhong ; Hao, Tianchu ; Feng, Xue . Quasi-effective stability for time-dependent nearly integrable Hamiltonian systems. Journal of nonlinear sciences and its applications, Tome 12 (2019) no. 11, p. 711-719. doi : 10.22436/jnsa.012.11.02. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.012.11.02/

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