NDLI: Quasi-periodic solutions and stability of the equilibrium for quasi-periodically forced planar reversible and Hamiltonian systems under the Bruno condition

Content Provider	Semantic Scholar
Author	Hanßmann, Heinz Si, Jianguo
Copyright Year	2010
Abstract	In this paper we investigate the existence of quasi-periodic solutions of non-autonomous two-dimensional reversible and Hamiltonian systems under the Bruno condition. As an application we study the dynamical stability of the trivial solution at the origin of a quasi-periodically forced planar system. Under a mild non-degeneracy condition we give a criterion that is necessary and sufficient for a large class of systems.
Starting Page	555
Ending Page	577
Page Count	23
File Format	PDF HTM / HTML
DOI	10.1088/0951-7715/23/3/007
Volume Number	23
Alternate Webpage(s)	http://www.staff.science.uu.nl/~hanss102/preprints/HH2009-1.pdf
Alternate Webpage(s)	https://doi.org/10.1088/0951-7715%2F23%2F3%2F007
Language	English
Access Restriction	Open
Content Type	Text
Resource Type	Article

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