On the persistence of degenerate lower-dimensional tori in reversible systems
2014 ◽
Vol 35
(7)
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pp. 2311-2333
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Keyword(s):
This work focuses on the persistence of lower-dimensional tori with prescribed frequencies and singular normal matrices in reversible systems. By the Kolmogorov–Arnold–Moser theory and the special structure of unperturbed nonlinear terms in the differential equation, we prove that the invariant torus with given frequency persists under small perturbations. Our result is a generalization of X. Wang et al [Degenerate lower dimensional tori in reversible systems. J. Math. Anal. Appl.387 (2012), 776–790].
2015 ◽
Vol 143
(1)
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pp. 45-61
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1991 ◽
Vol 1
(2)
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pp. 160-167
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2001 ◽
Vol 253
(2)
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pp. 558-577
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2017 ◽
Vol 37
(4)
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pp. 2141-2160
Keyword(s):
2011 ◽
Vol 115
(2)
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pp. 193-207
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2004 ◽
Vol 36
(1)
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pp. 233-255
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2012 ◽
Vol 387
(2)
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pp. 776-790
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