Maslov-type index and brake orbits in nonlinear Hamiltonian systems

Duan-zhi ZHANG

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Maslov-type index and brake orbits in nonlinear Hamiltonian systems

机译：非线性哈密顿系统中的Maslov型指数和制动轨道

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摘要

In this paper, we study the Maslov-type index theory for linear Hamiltonian systems with brake orbits boundary value conditions and its applications to the existence of multiple brake orbits of nonlinear Hamiltonian systems.

机译：在本文中，我们研究了具有制动轨道边界值条件的线性哈密顿系统的Maslov型指数理论，并将其应用于非线性哈密顿系统的多个制动轨道的存在。

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来源
《Science in China》 |2007年第6期|761-772|共12页
作者
Duan-zhi ZHANG;
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作者单位

School of Mathematical Sciences, Peking University, Beijing 100871, China;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
brake orbi; maslov-type index; relative morse index; dual variational method;

机译：刹车奥比;maslov型指数;相对摩尔斯指数对偶变分法;

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2. MINIMAL PERIOD ESTIMATES FOR BRAKE ORBITS OF NONLINEAR SYMMETRIC HAMILTONIAN SYSTEMS [J] . Chungen Liu Discrete and continuous dynamical systems . 2010,第1期

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3. Brake Orbits of First Order Convex Hamiltonian Systems with Particular Anisotropic Growth [J] . Chemical geology . 2019,第期

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4. Study on the correspondence of Hamiltonian flows and functions of brake Hamiltonian system based on mechanical mechanics [C] . Dawei Sun, Jiarui Liu International Conference on Mechanical Engineering, Industry and Manufacturing Engineering . 2013

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5. Brake orbits and magnetic twistings in two degrees of freedom Hamiltonian dynamical systems. [D] . Bakker, Lennard Frank. 1997

机译：两个自由度哈密顿动力学系统中的制动轨道和磁扭转。
6. Combinatorial optimization by simulating adiabatic bifurcations in nonlinear Hamiltonian systems [O] . Hayato Goto, Kosuke Tatsumura, Alexander R. Dixon 2019

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7. Minimal period problems for brake orbits of nonlinear autonomous reversible semipositive Hamiltonian systems [O] . Zhang, Duanzhi 2011

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8. Iteration formula of the Maslov-type index theory with applications to nonlinear Hamiltonian systems [R] . Di, D. , Yiming, L. 1994

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Maslov-type index and brake orbits in nonlinear Hamiltonian systems

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