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Bouncing solutions of an equation with attractive singularity

Published online by Cambridge University Press:  12 July 2007

Dingbian Qian  and
Pedro J. Torres
Dingbian Qian
Affiliation:
Department of Mathematics, Suzhou University, 215006 Suzhou, People's Republic of China(dbqian@suda.edu.cn)
Pedro J. Torres
Affiliation:
Universidad de Granada, Departamento de Matemática Aplicada, 18071 Granada, Spain(ptorres@ugr.es)
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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
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 134 , Issue 1 , February 2004 , pp. 201 - 213
Copyright
Copyright © Royal Society of Edinburgh 2004

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