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Subharmonic Solutions for Subquadratic Hamiltonian Systems

✍ Scribed by E.A.D.E. Silva

Publisher: Elsevier Science
Year: 1995
Tongue: English
Weight: 767 KB
Volume: 115
Category: Article
ISSN: 0022-0396
DOI: 10.1006/jdeq.1995.1007

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We consider the problem of bifurcation from homoclinic towards periodic orbits for a periodic singular system of differential equations. We use a functional analytic approach and the Lyapunov Schmidt method to obtain a bifurcation function for this problem which tends, as = Ä 0 + , to the well-known