Necessary and sufficient condition of the existence of global Hopf bifurcation for Hamiltonian systems |
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| Authors: | Deng Shitao |
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| Institution: | (1) Department of Mathematics, University of Science and Technology of China, China |
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| Abstract: | ForH  C
2 ( ,R) where 0   R
2n
,H (0)=0 and detH (0) 0, the paper proves that there is a global Hopf bifurcation fromx=0 for Hamiltonian systemx=JH(x) iffJH(0)possesses purely imaginary eigenvalues. The work improves the corresponding result of J.C.Alexander and J. Yorke (Amer. J. Math., 100 (1978), 263–292). |
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| Keywords: | |
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