STARTING HOMOCLINIC TANGENCIES NEAR 1 : 1 RESONANCES
2010 ◽
Vol 20
(10)
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pp. 3157-3172
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Keyword(s):
The Core
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We construct a theory-based numerical method for starting the continuation of homoclinic tangencies near 1 : 1 resonances, for systems with arbitrary dimension ≥ 2. The core of the method is numerical center manifold reduction and flow approximation. The reduction is implemented by means of the homological equation. The starting procedure is applied in numerical examples.
2014 ◽
Vol 24
(04)
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pp. 1450057
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2020 ◽
Vol 30
(09)
◽
pp. 2050130
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1987 ◽
Vol 91
(5)
◽
pp. 570-573
Keyword(s):
2017 ◽
Vol 6
(3)
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pp. 355-367
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