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Index and Stability of Symmetric Periodic Orbits in Hamiltonian Systems with Application to Figure-Eight Orbit
Index and Stability of Symmetric Periodic Orbits Hamiltonian Systems Application to Figure-Eight Orbit
2015/4/3
Index and Stability of Symmetric Periodic Orbits in Hamiltonian Systems with Application to Figure-Eight Orbit.
Approximate action-angle variables for the figure-eight and other periodic three-body orbits
the figure-eight other periodic three-body orbits Classical Physics
2011/7/26
Approximate action-angle variables for the figure-eight and other periodic three-body orbits.
Approximate action-angle variables for the figure-eight and other periodic three-body orbits
action-angle variables three-body orbit
2011/9/14
We use the maximally permutation symmetric set of three-body coordinates, that consist of the “hyper-radius” R = p2 + 2, the “rescaled area of the triangle”
p3
2R2 | × |) and the (braiding)
hyp...
Bifurcation of limit cycles from quintic Hamiltonian with a double figure eight loop
动力系统 Conley理论 持续性 周期解 Abel积分
2008/4/25
Hilbert 16 问题的重要意义已是众所周知,但迄今尚未解决。为此，Arnold于1977年提出了弱Hilbert 16 问题，但也未解决。本项目首先研究与该问题有关的课题，讨论了三次和n次扰动的单参数Hamilton系统，得到了Abel积分的零点个数的上界估计。对具不变直线的二次系统极限环的唯一性定理，我们给出了完整的证明。对以柱面为首次积分的空间三次系统，我们得到在每个柱面上至多有三个周期...