homoclinic相关论文
A van der Pol equation underlying state feedback control is investigated and the triple-zero bifurcation arises at the b......
In this paper we investigate the perturbations from a kind of quartic Hamiltonians under general cubic polynomials. It i......
New conditions for a planar homoclinic loop to have cyclicity two under multiple parameter perturbations have been obtai......
Bifurcations of nontwisted and fine heteroclinic loops are studied for higher dimensional systems. The existence and its......
Let L be a double homoclinic loop of a Hamiltonian system on the plane. We obtain a condition under which L generates at......
It is known that small perturbations of a Fredholm operator L have nulls of dimension not larger than dirnN(L). In this ......
Homoclinic bifurcations in four-dimensional vector fields are investigated by setting up a local coordinate near a homoc......
The main aims of this paper are to study the persistence of homoclinic and heteroclinic orbits of the reduced systems on......
如果系统让 asymptotically 稳定的 heteroclinic 骑车，那么，它让 asymptotically 稳定的 homoclinic 削尖哪个暗示空间混乱，这被证明......
In this paper, the perturbed higher-order NLS equation with periodic boundary condition is considered. The existence of ......
This paper deals with a kind of fourth degree systems with perturbations. By using the method of multi-parameter perturb......
讨论了E3^1系统中一类属于广义Liénard型方程xe＋f1（x）x＋f2（x）x^2＋g（x）=0的系统{x=y y=-x＋δy＋nx^2＋mxy＋ly^2＋bxy^2在m,n,l同号及b≠0情况下......
A 3D continuous autonomous chaotic system is reported, which contains a cubic term and six system parameters. Basic dyna......
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.同宿轨道存在的主要条件是奇异势能函数满足强力条件和有唯一最大值.......
本文研究非线性系统ｘ＝ψ（ｈ（ｙ）－Ｆ（ｘ）ｙ＝－ｇ（ｘ）的同宿轨族问题，获得此系统存在同宿轨族的充要条件及同宿轨与闭轨同时存在的充分条件。......
用动力系统分支方法研究非线性方程ut+a(1+bu2)u2ux+δuxxx=0 (a>0,δ>0,b∈R) 给出了参数空间的划分;在各种参数条件下得到孤立波......
含有二階幂零鞍点的双同宿环附近的极限环分支...
本文在半地转近似下带有Ｒａｙｌｅｉｇｈ摩擦并以静止流体为前景的非线性Ｒｏｓｓｂｙ行波解的存在性。研究表明：当μ＝０时存在孤波解和周期解；当０＜μ＜μ０时存在振荡型行......
The classification on the orbits of some Liénard perturbation system with several parameters, which is relation to ......
In this paper,using some techniques,we prove that there exists the regular homoclinic point for Taylor mapping with 4【A......
The Melnikov method was extended to perturbed planar non-Hamiltonian integrable systems with slowly-varying angle parame......
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通过对一个二次Hamilton系统的四参数的开折,得到一个保证系统存在极限环的四维参数区域,区域的部分边界为庞加莱分枝、同宿环分枝......
通过讨论对称可积二次系统的同宿环为代数的条件,得到平面参数区域中对应代数曲线同宿环的点集具有稠密性, 进一步给出代数曲线同......
In this paper, we investigate the homoclinic bifurcations from a heteroclinic cycle by using exponential dichotomies. We......
New Periodic Solitary Wave Solutions for a Variable-Coefficient Gardner Equation from Fluid Dynamics
The Gardner equation with a variable-coefficient from fluid dynamics and plasma physics is investigated. Different kinds......
This paper proposes a method for constructing partial differential equation (PDE) systems with chaotic solitons by using......
In this paper, a methodology for the numerical location of a global point-to-point (P2P for short) homoclinic asymptotic......
One orbit flip and two inclination flips bifurcation is considered with resonant principal eigenvalues. We introduce a l......
In the paper, the homoclinic (hateroclinic) breather limit method (HBLM) is applied to seek rogue wave solution of the B......
In this paper, some examples, such as iterated functional systems, scaling equation of wavelet transform,and invariant m......
In this paper,the bidirectional SK-Ramani equation is investigated by means of the extended homoclinic test approach and......
Homoclinic Solutions for a Prescribed Mean Curvature Lienard p-Laplacian Equation with a Deviating A
Homoclinic solutions were introduced for a prescribed mean curvature Lienard p-Laplacian equation with a deviating argum......
In the present paper, a custom algorithm based on the method of orthogonal collocation on finite elements is presented a......
In this paper,we use the Melnikov function method to study a kind of soft Duffing equations（?）+Af（（?）,x）+x-x<sup>2k+1</sup>=r[......
This paper discusses the dynamic behavior of the Kelvin-Stuart cat’s eye flow underperiodic perturbations.By means of t......
Analysis of chaos behaviors of a bistable piezoelectric cantilever power generation system by the se
By applying the second order Melnikov function,the chaos behaviors of a bistable piezoelectric cantilever power generati......
DISSIPATIVE SCHEMES WITH PROPERTY OF INHERITING HOMOCLINIC ORBITS FOR 2N-DIMENSIONAL HAMILTONIAN SYS
In this paper we develop a kind of dissipative discrete scheme for the computation ofhomoclinic orbits near TB-point in ......
ＥＸＰＯＮＥＮＴＩＡＬＤＩＣＨＯＴＯＭＩＥＳ，ＨＯＭＯＣＬＩＮＩＣＯＲＢＩＴＳＡＮＤＭＥＴＨＯＤＳＯＦＭＥＬＮＩＫＯＶ（曾唯尧，钱祥征，王志成）￥ＺｅｎｇＷｅｉｙａｏ（Ｄｅｐｔ．ｏｆＭａｔｈ．，ＨｕｎａｎＬｉｇｈｔＩｎｄｕｓｔｒｉａｌＣｏｌｌｅｇｅ，.........
樱椋睿澹牵铮颍洌铮? ＥｑｕａｔｉｏｎTX１ＩｎｔｒｏｄｕｃｔｉｏｎＴｈｅｎｏｎｌｉｎｅａｒｄｙｎａｍｉｃｓｏｆｔｈｅｄａｍｐｅｄｄｒｉｖｅｎｓｉｎｅ－Ｇｏｒｄｏｎｅｑｕａｔｉｏｎｕｔ－ｕｘｘ＋ｓｉｎｕ＝－ε（αｕｔ＋Γｃｏｓωｔ），（１．１）ｗｈｅ?........
Comments on 'Non-existence of Shilnikov chaos in continuous-time systems' are given.An error has been found in t......
Comments on 'Non-existence of Shilnikov chaos in continuous-time systems' are given.An error has been found in t......
ＨＯＭＯＣＬＩＮＩＣＯＲＢＩＴＳＩＮＰＥＲＴＵＲＢＥＤＧＥＮＥＲＡＬＩＺＥＤＨＡＭＩＬＴＯＮＩＡＮ ＳＹＳＴＥＭＳ￥ＺｈａｏＸｉａｏｈｕａ（赵晓华）（Ｄｅｐｔ．ｏｆＭａｔｈ．ＯｆＹｕｎｎａｎＵｎｉｖｅｒｓｉｔｙ，Ｋｕｎｍｉｎｇ６５０００１，Ｃｈｉｎａ.........
Generalization of the Global Error Minimization for Constructing Analytical Solutions to Nonlinear E
The global error minimization is a variational method for obtaining approximate analytical solutions to nonlinear oscill......
The analytical investigation of a damped power system has been made based on Holmes and Marsden’s theorems. The conditi......
