Three-frequency resonances in dynamical systems
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...
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| Otros Autores: | , , , |
| Formato: | Capítulo de libro |
| Lenguaje: | Inglés |
| Publicado: |
World Scientific Publishing Co. Pte Ltd
1999
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| Acceso en línea: | Registro en Scopus DOI Handle Registro en la Biblioteca Digital |
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| LEADER | 04850caa a22005297a 4500 | ||
|---|---|---|---|
| 001 | PAPER-2558 | ||
| 003 | AR-BaUEN | ||
| 005 | 20250820095157.0 | ||
| 008 | 190411s1999 xx ||||fo|||| 00| 0 eng|d | ||
| 024 | 7 | |2 scopus |a 2-s2.0-0033229660 | |
| 040 | |a Scopus |b spa |c AR-BaUEN |d AR-BaUEN | ||
| 100 | 1 | |a Calvo, O. | |
| 245 | 1 | 0 | |a Three-frequency resonances in dynamical systems |
| 260 | |b World Scientific Publishing Co. Pte Ltd |c 1999 | ||
| 270 | 1 | 0 | |m Calvo, O.; CICpBA, L.E.I.C.I., Universidad Nacional de La Plata, 1900 La Plata, Argentina; email: calvo@athos.fisica.unlp.edu.ar |
| 504 | |a Aronson, D.G., Chory, M.A., Hall, G.R., McGehee, R.P., Bifurcations from an invariant circle for two-parameter families of maps of the plane: A computer-assisted study (1983) Commun. Math. Phys., 83, pp. 303-354 | ||
| 504 | |a Arrowsmith, D.K., Cartwright, J.H.E., Lansbury, A.N., Place, C.M., The Bogdanov map: Bifurcations, mode locking, and chaos in a dissipative system (1993) Int. J. Bifurcation and Chaos, 3, pp. 803-842 | ||
| 504 | |a Arrowsmith, D.K., Place, C.M., (1990) An Introduction to Dynamical Systems, , Cambridge University Press | ||
| 504 | |a Baesens, C., Guckenheimer, J., Kim, S., Mackay, R.S., Three coupled oscillators: Mode-locking, global bifurcations and toroidal chaos (1991) Physica, D49, pp. 387-475 | ||
| 504 | |a Calvo, O., Cartwright, J.H.E., González, D.L., Piro, O., Sportolari, F., Three-frequency resonances in coupled phase-locked loops (1999) IEEE Trans. Circuits Syst., , in press | ||
| 504 | |a Cartwright, J.H.E., González, D.L., Piro, O., Universality in three-frequency resonances (1999) Phys. Rev., E59, pp. 2902-2906 | ||
| 504 | |a Cartwright, J.H.E., González, D.L., Piro, O., Nonlinear dynamics of the perceived pitch of complex sounds (1999) Phys. Rev. Lett., 82, pp. 5389-5392 | ||
| 504 | |a Cvitanović, P., Shraiman, B., Söderberg, B., Scaling laws for mode lockings in circle maps (1985) Physica Scripta, 32, pp. 263-270 | ||
| 504 | |a González, D.L., Piro, O., Chaos in a nonlinear driven oscillator with exact solution (1983) Phys. Rev. Lett., 50, pp. 870-872 | ||
| 504 | |a González, D.L., Piro, O., Symmetric kicked self oscillators: Iterated maps, strange attractors and the symmetry of the phase locking Farey hierarchy (1985) Phys. Rev. Lett., 55, pp. 17-20 | ||
| 504 | |a Hao, B.-L., (1989) Elementary Symbolic Dynamics and Chaos in Dissipative Systems, , World Scientific, Singapore | ||
| 504 | |a Newhouse, S.E., Ruelle, D., Takens, F., Occurrence of strange axiom A attractors near quasiperiodic flows on Tm, m ≥ 3 (1978) Commun. Math. Phys., 64, pp. 35-40 | ||
| 504 | |a Ruelle, D., Takens, F., On the nature of turbulence (1971) Commun. Math. Phys., 20-23, pp. 167-192 | ||
| 506 | |2 openaire |e Política editorial | ||
| 520 | 3 | |a 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. |l eng | |
| 593 | |a CICpBA, L.E.I.C.I., Universidad Nacional de La Plata, 1900 La Plata, Argentina | ||
| 593 | |a Inst. Andaluz de Cie. de la Tierra, IACT (CSIC-UGR), E-18071 Granada, Spain | ||
| 593 | |a Istituto Lamel, CNR, I-40129 Bologna, Italy | ||
| 593 | |a Inst. Mediter. d'Estud. Avancats, IMEDEA (CSIC-UIB), E-07071 Palma de Mallorca, Spain | ||
| 593 | |a Instituto de Cálcula, Fac. de Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina | ||
| 700 | 1 | |a Cartwright, J.H.E. | |
| 700 | 1 | |a González, D.L. | |
| 700 | 1 | |a Piro, Oreste | |
| 700 | 1 | |a Rosso, O.A. | |
| 773 | 0 | |d World Scientific Publishing Co. Pte Ltd, 1999 |g v. 9 |h pp. 2181-2187 |k n. 11 |p Int. J. Bifurcation Chaos Appl. Sci. Eng. |x 02181274 |w (AR-BaUEN)CENRE-5216 |t International Journal of Bifurcation and Chaos in Applied Sciences and Engineering | |
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| 856 | 4 | 0 | |u https://doi.org/10.1142/S0218127499001607 |y DOI |
| 856 | 4 | 0 | |u https://hdl.handle.net/20.500.12110/paper_02181274_v9_n11_p2181_Calvo |y Handle |
| 856 | 4 | 0 | |u https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02181274_v9_n11_p2181_Calvo |y Registro en la Biblioteca Digital |
| 961 | |a paper_02181274_v9_n11_p2181_Calvo |b paper |c PE | ||
| 962 | |a info:eu-repo/semantics/article |a info:ar-repo/semantics/artículo |b info:eu-repo/semantics/publishedVersion | ||
| 999 | |c 63511 | ||