Abstract:
We investigate numerically and experimentally dynamical systems having three interacting frequencies: a discrete mapping (a circle map), an exactly solvable model (a system of coupled ordinary differential equations), and an experimental device (an electronic oscillator). We compare the hierarchies of three-frequency resonances we find in each of these systems. All three show similar qualitative behaviour, suggesting the existence of generic features in the parameter-space organization of three-frequency resonances.
Registro:
Documento: |
Artículo
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Título: | Three-frequency resonances in dynamical systems |
Autor: | Calvo, O.; Cartwright, J.H.E.; González, D.L.; Piro, O.; Rosso, O.A. |
Filiación: | CICpBA, L.E.I.C.I., Universidad Nacional de La Plata, 1900 La Plata, Argentina Inst. Andaluz de Cie. de la Tierra, IACT (CSIC-UGR), E-18071 Granada, Spain Istituto Lamel, CNR, I-40129 Bologna, Italy Inst. Mediter. d'Estud. Avancats, IMEDEA (CSIC-UIB), E-07071 Palma de Mallorca, Spain Instituto de Cálcula, Fac. de Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina
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Año: | 1999
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Volumen: | 9
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Número: | 11
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Página de inicio: | 2181
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Página de fin: | 2187
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DOI: |
http://dx.doi.org/10.1142/S0218127499001607 |
Título revista: | International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
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Título revista abreviado: | Int. J. Bifurcation Chaos Appl. Sci. Eng.
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ISSN: | 02181274
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02181274_v9_n11_p2181_Calvo |
Referencias:
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Citas:
---------- APA ----------
Calvo, O., Cartwright, J.H.E., González, D.L., Piro, O. & Rosso, O.A.
(1999)
. Three-frequency resonances in dynamical systems. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 9(11), 2181-2187.
http://dx.doi.org/10.1142/S0218127499001607---------- CHICAGO ----------
Calvo, O., Cartwright, J.H.E., González, D.L., Piro, O., Rosso, O.A.
"Three-frequency resonances in dynamical systems"
. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 9, no. 11
(1999) : 2181-2187.
http://dx.doi.org/10.1142/S0218127499001607---------- MLA ----------
Calvo, O., Cartwright, J.H.E., González, D.L., Piro, O., Rosso, O.A.
"Three-frequency resonances in dynamical systems"
. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, vol. 9, no. 11, 1999, pp. 2181-2187.
http://dx.doi.org/10.1142/S0218127499001607---------- VANCOUVER ----------
Calvo, O., Cartwright, J.H.E., González, D.L., Piro, O., Rosso, O.A. Three-frequency resonances in dynamical systems. Int. J. Bifurcation Chaos Appl. Sci. Eng. 1999;9(11):2181-2187.
http://dx.doi.org/10.1142/S0218127499001607