On Shil’nikov Analysis of Homoclinic and Heteroclinic Orbits of the T System-Reference-Cited by-同舟云学术

On Shil’nikov Analysis of Homoclinic and Heteroclinic Orbits of the T System

Published:2012-07-23 Issue:2 Volume:8 Page:
ISSN:1555-1415
Container-title:Journal of Computational and Nonlinear Dynamics
language:en
Short-container-title:

Author:

Algaba Antonio¹,Fernández-Sánchez Fernando²,Merino Manuel¹,Rodríguez-Luis Alejandro J.³

Affiliation:

1. Professor Department of Mathematics, Facultad de Ciencias Experimentales, University of Huelva, Avda. Tres de Marzo s/n, 21071 Huelva, Spain e-mail:

2. Professor Department of Applied Mathematics II, E.S. Ingenieros, University of Sevilla, Camino de los Descubrimientos s/n, 41092 Sevilla, Spain e-mail:

3. Professor Department of Applied Mathematics II, E.S. Ingenieros, University of Sevilla, Camino de los Descubrimientos s/n, 41092 Sevilla, Spain e-mail:

Abstract

In the referenced paper, the authors use the undetermined coefficient method to analytically construct homoclinic and heteroclinic orbits in the T system. Unfortunately their method is not valid because they assume odd functions for the first component of the homoclinic and the heteroclinic orbit whereas these Shil'nikov global connections do not exhibit symmetry.

Publisher

ASME International

Subject

Applied Mathematics,Mechanical Engineering,Control and Systems Engineering,Applied Mathematics,Mechanical Engineering,Control and Systems Engineering

Link

http://asmedigitalcollection.asme.org/computationalnonlinear/article-pdf/doi/10.1115/1.4006788/6103908/cnd_8_2_027001.pdf

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