On the Takens-Bogdanov Bifurcation in the Chua's Equation (Special Section on Nonlinear Theory and Its Applications)

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概要

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• The analysis of the Takens-Bogdanov bifurcation of the equilibrium at the origin in the Chua's equation with a cubic nonlinearity is carried out. The local analysis provides, in first approximation, different bifurcation sets, where the presence of several dynamical behaviours (including periodic, homoclinic and heteroclinic orbits) is predicted. The local results are used as a guide to apply the adequate numerical methods to obtain a global understanding of the bifurcation sets. The study of the normal form of the Takens-Bogdanov bifurcation shows the presence of a degenerate (codimension-three) situation, which is analyzed in both homoclinic and heteroclinic cases.

• 社団法人電子情報通信学会の論文
• 1999-09-25

著者

• Rodriguez-luis Alejandro

  Department Of Applied Mathematics Ii Escuela Superior De Ingenieros University Of Sevilla

• ALGABA Antonio

  Department of Mathematics, Escuela Politecnica Superior, University of Huelva

• Algaba Antonio

  Department Of Mathematics Escuela Politecnica Superior University Of Huelva

• FREIRE Emilio

  Department of Applied Mathematics II, Escuela Superior de Ingenieros, University of Sevilla

• GAMERO Estanislao

  Department of Applied Mathematics II, Escuela Superior de Ingenieros, University of Sevilla

• Gamero Estanislao

  Department Of Applied Mathematics Ii Escuela Superior De Ingenieros University Of Sevilla

• Freire Emilio

  Department Of Applied Mathematics Ii Escuela Superior De Ingenieros University Of Sevilla

関連論文

• Evolution of Arnold's Tongues in a Z_2-Symmetric Electronic Circuit (Special Section on Nonlinear Theory and Its Applications)
• On the Takens-Bogdanov Bifurcation in the Chua's Equation (Special Section on Nonlinear Theory and Its Applications)

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