HOMOCLINIC CONNECTIONS NEAR A BELYAKOV POINT IN CHUA'S EQUATION-Reference-Cited by-同舟云学术

HOMOCLINIC CONNECTIONS NEAR A BELYAKOV POINT IN CHUA'S EQUATION

Published:2005-04 Issue:04 Volume:15 Page:1239-1252
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

ALGABA A.¹,MERINO M.¹,RODRÍGUEZ-LUIS A. J.²

Affiliation:

1. Dept. Mathematics, Fac. Ciencias Experimentales, Univ. Huelva, Avda de las Fuerzas Armadas s/n, 21071 Huelva, Spain

2. Dept. Applied Mathematics II, E.S. Ingenieros, Univ. Sevilla, Camino de los Descubrimientos s/n, 41092 Sevilla, Spain

Abstract

In this work, the distribution and organization of different homoclinic orbits (double- and triple-pulse) in a ℤ2-symmetric three-dimensional system are studied in the vicinity of a Belyakov point, that is, a point where the involved equilibrium in the homoclinic connection changes from saddle-node to saddle-focus. The analytical results are successfully applied in the study of such degeneration in Chua's equation.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127405012739

Reference17 articles.

1. ON THE HOPF–PITCHFORK BIFURCATION IN THE CHUA'S EQUATION

2. SOME RESULTS ON CHUA'S EQUATION NEAR A TRIPLE-ZERO LINEAR DEGENERACY

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