BIFURCATIONS OF PERIODIC SOLUTIONS FOR PLANE MAPPINGS

In this paper,using some techniques,we prove that there exists the regular homoclinic point for Taylor mapping with 4<A≤1.5π.and motion of bouncing ball with 4<r≤1.5π.This result implies that the corresponding systems have infinitely many distinct periodic points.

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Bibliographic Details
Published in:Applied mathematics and mechanics 1993-09, Vol.14 (9), p.879-885
Main Author: 曹进德 李琼
Format: Article
Language:English
Subjects:
ball
bifurcation
bouncing
homoclinic
mapping
motion
periodic
point
regular
Taylor
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Description
Summary:In this paper,using some techniques,we prove that there exists the regular homoclinic point for Taylor mapping with 4<A≤1.5π.and motion of bouncing ball with 4<r≤1.5π.This result implies that the corresponding systems have infinitely many distinct periodic points.
ISSN:0253-4827
1573-2754
DOI:10.1007/BF02457483