The stability of the elliptic equilibrium of planar quasi-periodic Hamiltonian systems |
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| Authors: | Yun Chao Wu and Yi Qian Wang |
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| Institution: | (1) Department of Mathematics, Nanjing University, Nanjing, 210093, P. R. China |
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| Abstract: | In this paper, we study the planar Hamiltonian system
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(x)\dot] = J(A(q)x + ?f(x,q)), (q)\dot] = w, x ? \mathbbR2 , q ? \mathbbTd ,\dot x = J(A(\theta )x + \nabla f(x,\theta )), \dot \theta = \omega , x \in \mathbb{R}^2 , \theta \in \mathbb{T}^d , |
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| Keywords: | Lyapunov stability elliptic equilibrium Hamiltonian system quasi-periodic system |
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