搜索结果: 1-6 共查到“动力系统 Hamiltonian”相关记录6条 . 查询时间(0.109 秒)
The aim of the present paper is to show a simple family of nonlinear analytic functions $g: R\to R$ such that the origin is a global isochronous center for the scalar equation $\ddot x=-g(x)$.
A class of integrable Hamiltonian systems including scattering of particles on the line with repulsive interactions
class of integrable Hamiltonian systems scattering of particles line repulsive interactions
2012/4/26
The main purpose of this paper is to introduce a new class of Hamiltonian scattering systems of the cone potential type that can be integrated via the asymptotic velocity. For a large subclass, the as...
Rabinowitz＇s Saddle Point Theorem and Periodic Solutions of Singular Hamiltonian Systems
Rabinowitz＇s Saddle Point Theorem Singular Hamiltonian systems without any symmetry
2011/10/18
Using Rabinowitz＇s Saddle Point Theorem ,we get new periodic solutions for singular Hamiltonian systems without any symmetry
Asymptotic stability of ground states in some Hamiltonian PDEs with symmetry
Asymptotic stability of ground states Hamiltonian PDEs symmetry
2011/9/22
Abstract: We consider a ground state (soliton) of a Hamiltonian PDE. We prove that if the soliton is orbitally stable then it is also asymptotically stable. The main assumptions are transversal nondeg...
Discrete conservation laws and port-Hamiltonian systems on graphs and complexes
conservation laws port-Hamiltonian systems graphs and complexes Optimization and Control
2011/9/1
Abstract: In this paper we present a unifying geometric framework for modeling various sorts of physical network dynamics as port-Hamiltonian systems. Basic idea is to associate with the incidence mat...
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...