Evolution of Arnold's Tongues in a Z2-Symmetric Electronic Circuit
Summary :
In this paper we study the evolution of the resonance zones that appear in connection with a Hopf-pitchfork bifurcation exhibited by a Z2-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.
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- IEICE TRANSACTIONS on Fundamentals Vol.E82-A No.9 pp.1714-1721
- Publication Date
- 1999/09/25
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- Special Section PAPER (Special Section on Nonlinear Theory and Its Applications)
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Antonio ALGABA, Manuel MERINO, Alejandro J. RODRIGUEZ-LUIS, "Evolution of Arnold's Tongues in a Z2-Symmetric Electronic Circuit" in IEICE TRANSACTIONS on Fundamentals,
vol. E82-A, no. 9, pp. 1714-1721, September 1999, doi: .
Abstract: In this paper we study the evolution of the resonance zones that appear in connection with a Hopf-pitchfork bifurcation exhibited by a Z2-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.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e82-a_9_1714/_p
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@ARTICLE{e82-a_9_1714,
author={Antonio ALGABA, Manuel MERINO, Alejandro J. RODRIGUEZ-LUIS, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Evolution of Arnold's Tongues in a Z2-Symmetric Electronic Circuit},
year={1999},
volume={E82-A},
number={9},
pages={1714-1721},
abstract={In this paper we study the evolution of the resonance zones that appear in connection with a Hopf-pitchfork bifurcation exhibited by a Z2-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.},
keywords={},
doi={},
ISSN={},
month={September},}
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TY - JOUR
TI - Evolution of Arnold's Tongues in a Z2-Symmetric Electronic Circuit
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1714
EP - 1721
AU - Antonio ALGABA
AU - Manuel MERINO
AU - Alejandro J. RODRIGUEZ-LUIS
PY - 1999
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E82-A
IS - 9
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - September 1999
AB - In this paper we study the evolution of the resonance zones that appear in connection with a Hopf-pitchfork bifurcation exhibited by a Z2-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.
ER -
English
