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In this paper we define the index at infinity of an asymptotically linear autonomous Hamiltonian system. We use this index to prove the existence and bifurcation from infinity of periodic… Click to show full abstract
In this paper we define the index at infinity of an asymptotically linear autonomous Hamiltonian system. We use this index to prove the existence and bifurcation from infinity of periodic solutions of the system. We apply the degree for G-invariant strongly indefinite functionals defined by Gołȩbiewska and Rybicki in (Nonlinear Anal 74:1823–1834, 2011).
Keywords:
periodic solutions;
asymptotically linear;
linear autonomous;
solutions asymptotically;
hamiltonian systems;
autonomous hamiltonian
Journal Title: Journal of Dynamics and Differential Equations
Year Published: 2018
Link to full text (if available)
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Journal Title: Journal of Dynamics and Differential Equations
Year Published: 2018
Link to full text (if available)
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recommendations!