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- The existence of a homoclinic orbit for a singular second order planar Hamiltonian systemis proved by using variational methods. 用变分方法证明了二阶奇异平面哈密顿系统的同宿轨道的存在性。
- It is shown that the numbers of both periodic orbits and homoclinc orbits bifurcated from this kind of homoclinic orbits depend heavily on the strength of the inclination flip. 主要结论为这类系统在分支出一个同宿轨的同时所能分支出的周期轨的个数也依赖于倾斜翻转的强度。
- The existence of a homoclinic orbit for a singular second order planar Hamiltonian system is proved by using variational methods. 用变分方法证明了二阶奇异平面哈密顿系统的同宿轨道的存在性.
- The second section is concerned with the number of zeros of the Abelian integrals for a cubic Hamiltonian system with double homoclinic orbit under -order perturbations. 第二章讨论了具有双同宿轨的三次Hamilton系统在一类 次多项式扰动下的Abel积分零点个数。
- A numerical approximate method to get the Melnikov function value is proposed in this paper. The propsed method is used to get the homoclinic orbit solution of the actual power system model, the solu-tion till now have not been get by other method . 本文在电力系统浑沈现象的研究方面,做了二项新工作,第一,根据电力系统模型的特点,首次提出了求取电力系统浑沌模型Melnikov函数的数值近似法,解决了无法求得实际电力系统模型中同宿轨道解析式的困难,并由此推导出了在电力系统中产生浑沌现象的解析条件;
- Liu X .B.‚ Fu X.L.‚ Zhu D.M.‚homoclinic bifurcation with nonhyperbolic equilibria‚ Nonlinear analysis‚ Theory‚ Methods &Applications‚Volume 66‚ Issue 12‚ 2653-2982 ‚2007. 刘兴波‚朱德明.;伴随超临界分支的非通有同宿轨道分支‚高校应用数学学报‚‚2004‚19(4)‚401-408
- Using harmonic balance simulators can make the work of circuit design and analysis easier to do.When this technique is applied to high frequency circuits, it can exhibit homoclinic bifurcation routes. 摘要利用谐波平衡模拟法对电路中的混沌运行状态进行预测,更便于进行电路设计与分析,在高频电路模拟中,可以显示出混沌的同宿分岔轨迹,并预测和计算出这些轨迹的路线。
- Homoclinic Orbits of the Davey-Stewartson Equations Davey-Stewartson方程的同宿轨道
- homoclinic and heteroclinic orbit 同宿与异宿轨道
- Homoclinic Orbits of Some Systems Having Two Degrees of Freedom 一类两个自由度系统的同宿轨道
- Keywords invariant torus, homoclinic orbit, chaos, attractors,exact solution; 不变胎面;同宿轨道;混沌;吸引子;精确解;
- The Planar Quintic Polynomial Systems with a Four-point Heteroclinic Cycle and a Homoclinic Cycle Coexist 具有四点异宿环和同宿环共存的平面五次多项式系统
- Homoclinic Bifurcation and Time-Dependent Bifurcation of Quadratic System with Saddle-Node Bifurcation 具有鞍结分岔的二次系统的同宿和时变分岔
- POSITIVE HOMOCLINIC ORBITS FOR A CLASS OF NONLINEAR DIFFERENTIAL EQUATIONS WITH SYMMETRY 一类具有对称性的非线性微分方程的正值同宿轨道
- THE CRITERION FOR DETERMINING THE STABILITY OF A HOMOCLINIC CYCLE FOR THE SECOND CRITICAL CASE AND ITS APPLICATION 推广后继函数法研究第二临界情况下同宿环的稳定性
- The Density of Algebraic Curve Homoclinic Cycle for a Symmetric Integrable Quadratic System 平面对称可积二次系统的代数曲线同宿环的稠密性
- Coexistence of Homoclinic Orbits and Periodic Orbits in Homoclinic Bifurcations with Two Inclination Flips 倾斜翻转同宿分支中的同宿轨与周期轨的共存性
- Numerical Analysis of Bifurcation Properties near a Saddle-node Homoclinic Orbit 鞍结同宿轨道附近分支现象的数值分析
- Homoclinic points of mappings of the intrval,Proc.Amer.Math.Soc.,72(1978) ,576-580 线段自映射拓扑熵为零的一个充分条件;数学进展;待发表.
- Homoclinic bifuecation 同宿分支