Locating oscillatory orbits of the parametrically-excited pendulum
1996 ◽
Vol 37
(3)
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pp. 309-319
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Keyword(s):
AbstractA method is considered for locating oscillating, nonrotating solutions for the parametrically-excited pendulum by inferring that a particular horseshoe exists in the stable and unstable manifolds of the local saddles. In particular, odd-periodic solutions are determined which are difficult to locate by alternative numerical techniques. A pseudo-Anosov braid is also located which implies the existence of a countable infinity of periodic orbits without the horseshoe assumption being necessary.
2017 ◽
Vol 27
(02)
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pp. 1730010
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2004 ◽
Vol 14
(07)
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pp. 2375-2380
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2014 ◽
Vol 24
(06)
◽
pp. 1430018
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2002 ◽
Vol 12
(03)
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pp. 605-617
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2018 ◽
Vol 28
(14)
◽
pp. 1850169
2014 ◽
Vol 36
(1)
◽
pp. 23-63
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Keyword(s):