ISSN:
1573-2754
Keywords:
Taylor mapping
;
motion of bouncing ball
;
regular homoclinic point
;
bifurcation
;
periodic point
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
,
Mathematics
,
Physics
Notes:
Abstract 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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02457483
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