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Invariant curves and boundedness of solutions of a class of reversible systems

✍ Scribed by Xiaojing Yang; Kueiming Lo

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
170 KB
Volume
282
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

In this paper, the boundedness of all solutions for the following planar reversible system
Ju β€² = βˆ‡H (u) + G (u) + h (t)
is discussed, where the function H (u) ∈ C^2^(ℝ^2^, ℝ^+^) is positive for u β‰  0 and positively (q, p)‐quasihomogeneous of quasi‐degree pq, G ∈ C^5^ is bounded, h ∈ C^6^ is 2__Ο€__ ‐periodic and J is the standard symplectic matrix. (Β© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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