Infinitely Many Rotating Periodic Solutions for Second-Order Hamiltonian Systems View Full Text


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Article Info

DATE

2019-04

AUTHORS

Guanggang Liu, Yong Li, Xue Yang

ABSTRACT

In this paper, we consider a class of second-order Hamiltonian system in ℝN with combined nonlinearities. We will study the multiplicity of rotating periodic solutions, i.e., x(t+T)=Qx(t) with T>0 and Q is an N×N orthogonal matrix. In the case Qk≠IN for any positive integer k, such a rotating periodic solution is just a quasi-periodic solution; In the case Qk=IN for some positive integer k, such a rotating periodic solution is just a subharmonic solution. We will use the Fountain Theorem and its dual form to obtain two sequences of rotating periodic solutions with the corresponding energy tending to infinity and zero respectively. More... »

PAGES

159-174

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URI

http://scigraph.springernature.com/pub.10.1007/s10883-018-9402-2

DOI

http://dx.doi.org/10.1007/s10883-018-9402-2

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https://app.dimensions.ai/details/publication/pub.1103745529


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