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- The existence of a homoclinic orbit for a singular second order planar Hamiltonian systemis proved by using variational methods. 用變分方法證明了二階奇異平面哈密頓系統的同宿軌道的存在性。
- 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. 主要結論為這類(lèi)系統在分支出一個(gè)同宿軌的同時(shí)所能分支出的周期軌的個(gè)數也依賴(lài)于傾斜翻轉的強度。
- The existence of a homoclinic orbit for a singular second order planar Hamiltonian system is proved by using variational methods. 用變分方法證明了二階奇異平面哈密頓系統的同宿軌道的存在性.
- 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. 第二章討論了具有雙同宿軌的三次Hamilton系統在一類(lèi) 次多項式擾動(dòng)下的Abel積分零點(diǎn)個(gè)數。
- 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 . 本文在電力系統渾沈現象的研究方面,做了二項新工作,第一,根據電力系統模型的特點(diǎn),首次提出了求取電力系統渾沌模型Melnikov函數的數值近似法,解決了無(wú)法求得實(shí)際電力系統模型中同宿軌道解析式的困難,并由此推導出了在電力系統中產(chǎn)生渾沌現象的解析條件;
- 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. 劉興波‚朱德明.;伴隨超臨界分支的非通有同宿軌道分支‚高校應用數學(xué)學(xué)報‚‚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. 摘要利用諧波平衡模擬法對電路中的混沌運行狀態(tài)進(jìn)行預測,更便于進(jìn)行電路設計與分析,在高頻電路模擬中,可以顯示出混沌的同宿分岔軌跡,并預測和計算出這些軌跡的路線(xiàn)。
- Homoclinic Orbits of the Davey-Stewartson Equations Davey-Stewartson方程的同宿軌道
- homoclinic and heteroclinic orbit 同宿與異宿軌道
- Homoclinic Orbits of Some Systems Having Two Degrees of Freedom 一類(lèi)兩個(gè)自由度系統的同宿軌道
- Keywords invariant torus, homoclinic orbit, chaos, attractors,exact solution; 不變胎面;同宿軌道;混沌;吸引子;精確解;
- The Planar Quintic Polynomial Systems with a Four-point Heteroclinic Cycle and a Homoclinic Cycle Coexist 具有四點(diǎn)異宿環(huán)和同宿環(huán)共存的平面五次多項式系統
- Homoclinic Bifurcation and Time-Dependent Bifurcation of Quadratic System with Saddle-Node Bifurcation 具有鞍結分岔的二次系統的同宿和時(shí)變分岔
- POSITIVE HOMOCLINIC ORBITS FOR A CLASS OF NONLINEAR DIFFERENTIAL EQUATIONS WITH SYMMETRY 一類(lèi)具有對稱(chēng)性的非線(xiàn)性微分方程的正值同宿軌道
- THE CRITERION FOR DETERMINING THE STABILITY OF A HOMOCLINIC CYCLE FOR THE SECOND CRITICAL CASE AND ITS APPLICATION 推廣后繼函數法研究第二臨界情況下同宿環(huán)的穩定性
- The Density of Algebraic Curve Homoclinic Cycle for a Symmetric Integrable Quadratic System 平面對稱(chēng)可積二次系統的代數曲線(xiàn)同宿環(huán)的稠密性
- Coexistence of Homoclinic Orbits and Periodic Orbits in Homoclinic Bifurcations with Two Inclination Flips 傾斜翻轉同宿分支中的同宿軌與周期軌的共存性
- Numerical Analysis of Bifurcation Properties near a Saddle-node Homoclinic Orbit 鞍結同宿軌道附近分支現象的數值分析
- Homoclinic points of mappings of the intrval,Proc.Amer.Math.Soc.,72(1978) ,576-580 線(xiàn)段自映射拓撲熵為零的一個(gè)充分條件;數學(xué)進(jìn)展;待發(fā)表.
- Homoclinic bifuecation 同宿分支