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Rotating periodic solutions for asymptotically linear second‐order Hamiltonian systems with resonance at infinity
Author(s) -
Liu Guanggang,
Li Yong,
Yang Xue
Publication year - 2017
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4518
Subject(s) - mathematics , infinity , hamiltonian system , morse theory , hamiltonian (control theory) , order (exchange) , mathematical analysis , class (philosophy) , stability theory , resonance (particle physics) , nonlinear system , mathematical optimization , physics , quantum mechanics , finance , computer science , economics , artificial intelligence
In this paper, we consider a class of asymptotically linear second‐order Hamiltonian system with resonance at infinity. We will use Morse theory combined with the technique of penalized functionals to obtain the existence of rotating periodic solutions.