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Bouncing solutions of an equation with attractive singularity

Published online by Cambridge University Press:  12 July 2007

Dingbian Qian
Affiliation:
Department of Mathematics, Suzhou University, 215006 Suzhou, People's Republic of China([email protected])
Pedro J. Torres
Affiliation:
Universidad de Granada, Departamento de Matemática Aplicada, 18071 Granada, Spain([email protected])

Abstract

For any n, m ∈ N, we prove the existence of 2mπ-periodic solutions, with n bouncings in each period, for a second-order forced equation with attractive singularity by using the approach of successor map and Poincaré-Birkhoff twist theorem.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 2004

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