Evolution of Arnold's Tongues in a Z_2-Symmetric Electronic Circuit (Special Section on Nonlinear Theory and Its Applications)
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概要
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In this paper we study the evolution of the resonance zones that appear in connection with a Hopf-pitchfork bifurcation exhibited by a Z_2-symmetric electronic circuit. These regions, bounded by curves of folds (saddle-node bifurcations) may be closed or open depending on the values of the parameters. An angular degeneracy on the torus bifurcation curve originates the banana shape of Arnold's tongues. The presence of homoclinic bifurcations is also pointed out.
- 社団法人電子情報通信学会の論文
- 1999-09-25
著者
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Merino M
Univ. Huelva Esp
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Rodrigues‐luis A
Department Of Applied Mathematics Ii Escuela Superior De Ingenieros University Of Sevilla
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Rodriguez-luis Alejandro
Department Of Applied Mathematics Ii Escuela Superior De Ingenieros University Of Sevilla
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ALGABA Antonio
Department of Mathematics, Escuela Politecnica Superior, University of Huelva
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MERINO Manuel
Department of Mathematics, Escuela Politecnica Superior, University of Huelva
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Algaba A
Univ. Huelva Esp
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Algaba Antonio
Department Of Mathematics Escuela Politecnica Superior University Of Huelva
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)