Results 131 to 140 of about 328 (171)

New Heteroclinic Orbits Coined

International Journal of Bifurcation and Chaos, 2016
We devote to studying the problem for the existence of homoclinic and heteroclinic orbits of Unified Lorenz-Type System (ULTS). Other than the known results that the ULTS has two homoclinic orbits to [Formula: see text] for [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] and two heteroclinic orbits to [Formula: see ...
Haijun Wang, Chang Li, Xianyi Li
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Heteroclinic orbits and heteroclinic chains for a discrete Hamiltonian system

Science China Mathematics, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Hao, Li, ZhiXiang
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Heteroclinic orbits in the T and the Lü systems

Chaos, Solitons & Fractals, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tigan, Gheorghe, Constantinescu, Dana
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BIFURCATION OF ROUGH HETEROCLINIC LOOP WITH ORBIT FLIPS

International Journal of Bifurcation and Chaos, 2012
In this paper, heteroclinic loop bifurcations with double orbit flips are investigated in four-dimensional vector fields. We obtain the bifurcation equations by setting up a local coordinate system near the rough heteroclinic orbit and establishing the Poincaré map.
Xingbo Liu, Zhenzhen Wang, Deming Zhu
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Homoclinic and heteroclinic orbits in a modified Lorenz system

Information Sciences, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhong Li 0001, Guanrong Chen, Wolfgang A. Halang   +2 more
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A new method to find homoclinic and heteroclinic orbits

Applied Mathematics and Computation, 2011
Consider an analytic or polynomial autonomous system of differential equations having two rest points (possibly, coinciding). The authors search for trajectories connecting these rest points. The method is based on introduction of two different logarithmic changes of time on the positive and the negative semi-axis, after which the search for a ...
Jianghong Bao, Qigui Yang
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SHIL'NIKOV HETEROCLINIC ORBITS IN A CHAOTIC SYSTEM

International Journal of Modern Physics B, 2007
In this paper, a chaotic system which exhibits a chaotic attractor with only three equilibria for some parameters is considered. The existence of heteroclinic orbits of the Shil'nikov type in a chaotic system has been proved using the undetermined coefficient method. As a result, the Shil'nikov criterion guarantees that the system has Smale horseshoes.
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Homoclinic/heteroclinic recurrent orbits and horseshoe

Journal of Differential Equations
In this paper, the authors consider systems of ODEs \[ \dot z = g(z) + \mu h(t,z,\mu) \] with a small parameter \(\mu \in \mathbb{R}\). Assuming that for \(\mu=0\) the system has a solution \(\xi(t)\) that is homoclinic to a hyperbolic saddle point \(z_0\), as well as some other technical hypotheses, they show that for small non-zero \(|\mu|\) there is
Dong, Xiujuan, Li, Yong
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Orbits heteroclinic to invariant manifolds

Acta Mathematica Sinica, 1996
The persistence and the transversality of orbits heteroclinic (or homoclinic) to normally hyperbolic invariant manifolds are studied. The obtained results extend and improve some classical results (Wiggins and Yamashita) in the theory of dynamical systems on smooth manifolds.
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CHAOTIC BEHAVIOR OF ORBITS CLOSE TO A HETEROCLINIC CONTOUR

International Journal of Bifurcation and Chaos, 1996
We study the behavior of the solutions in a neighborhood of a closed contour formed by two heteroclinic connections to two equilibrium points of saddle-focus type. We consider both the three-dimensional case, as in the well-known Chua's circuit, as well as the infinite-dimensional case.
Blázquez, M., Tuma, E.
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