The Stability of Subharmonic Solutions for Hamiltonian Systems |
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Authors: | Liu Chun-gen |
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Institution: | a Department of Mathematics, Nankai University, Tianjin, 300071, People's Republic of China |
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Abstract: | In this paper, by using the dual Morse index theory, we study the stability of subharmonic solutions of the non-autonomous Hamiltonian systems. We obtain a (infinite) sequence of geometrically distinct periodic solutions such that every element has at most one direction of instability (i.e., it has at least 2n − 2 Floquet multipliers lying on the unit circle in the complex plane if the periodic solution is non-degenerate) or it is elliptic (all its 2n Floquet multipliers are lying on the unit circle) if the periodic solution is degenerate. |
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Keywords: | stability subharmonic solution Hamiltonian system |
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