Existence of Impact Period-1 Orbit After Grazing Bifurcation for a Soft Impacting System
2021 ◽
Vol 31
(07)
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pp. 2150103
Keyword(s):
In the paper, the theoretical study on some experimental and numerical results of grazing bifurcation for a soft impacting system are analyzed. After the conditions under which nonimpact period-1 orbit and grazing bifurcation exist are given, we prove that an impact period-1 orbit exists by the implicit function theorem. The details of these periodic orbits are also investigated, which also helps us numerically find them. The method in this paper is still efficient for the multiperiodic orbits with single impact.
2001 ◽
Vol 6
(7)
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pp. 413-429
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1994 ◽
Vol 4
(1)
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pp. 91-105
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1998 ◽
Vol 12
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pp. 2599-2617
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2017 ◽
Vol 41
(4)
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pp. 515-528
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Keyword(s):
2005 ◽
Vol 2005
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pp. 169-193
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2006 ◽
Vol 46
(2)
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pp. 195-205
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