A model for the analysis of the dynamical consequences of a nontransversal intersection of the two-dimensional manifolds involved in a T-point

Fernandez-Sanchez F.; Freire E.; Pizarro L.; Rodriguez-Luis AJ.

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A model for the analysis of the dynamical consequences of a nontransversal intersection of the two-dimensional manifolds involved in a T-point

机译：用于分析T点涉及的二维歧管的非横向相交的动力学结果的模型

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The existence of a curve of homoclinic connections that bi-spirals around a T-point has been recently reported in an autonomous three-dimensional system. In this Letter we propose a model that considers a nontransversal intersection between the two-dimensional manifolds of the saddle-focus equilibria involved in such a T-point. The study of this model shows the presence of bi-spiraling curves of homoclinic connections in the parameter plane. The predictions deduced from this model strongly agree with the numerical results obtained in Rossler equations and in a modified van der Pol-Duffing electronic oscillator. (C) 2003 Elsevier B.V. All rights reserved. [References: 18]

机译：最近在自治的三维系统中已经报道了在T点周围有双螺线的同斜连接曲线的存在。在这封信中，我们提出了一个模型，该模型考虑了涉及此T点的鞍形焦点平衡的二维流形之间的非横向相交。该模型的研究表明在参数平面中存在同斜向连接的双螺旋曲线。从该模型得出的预测与在Rossler方程和改进的van der Pol-Duffing电子振荡器中获得的数值结果非常吻合。（C）2003 Elsevier B.V.保留所有权利。 [参考：18]

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《Physics Letters, A》 |2003年第3期|共11页
作者
Fernandez-Sanchez F.; Freire E.; Pizarro L.; Rodriguez-Luis AJ.;
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正文语种 eng
中图分类物理学;
关键词
Homoclinic/beteroclinic bifurcations; T-points; Takens-bogdanov bifurcations; Hopf-pitchfork bifurcation; Pol-duffing oscillator; Chaos; Orbits;

机译：同上/本斜分叉;T点;Takens-bogdanov分叉;Hopf-音叉分叉;Pol-duffing振子;混沌;轨道;

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机译：用于分析T点涉及的二维歧管的非横向相交的动力学结果的模型
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A model for the analysis of the dynamical consequences of a nontransversal intersection of the two-dimensional manifolds involved in a T-point

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