Abstract
| Lingua originale | English |
|---|---|
| Numero di pagine | 0 |
| Rivista | MATHEMATICAL REVIEWS |
| Volume | 2013 |
| Stato di pubblicazione | Published - 2013 |
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MR2997965 (Review) 37D45Viana, R. L.; Lopes, S. R.;Szezech, J.D., Jr.; Caldas, I. L.Synchronization of chaos and the transition to wave turbulence.Internat. J. Bifur. Chaos Appl. Sci. Engrg. 22 (2012), no. 10, 1250234, 9 pp.1793-6551. / Gambino, Gaetana.
In: MATHEMATICAL REVIEWS, Vol. 2013, 2013.Risultato della ricerca: Review article
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TY - JOUR
T1 - MR2997965 (Review) 37D45Viana, R. L.; Lopes, S. R.;Szezech, J.D., Jr.; Caldas, I. L.Synchronization of chaos and the transition to wave turbulence.Internat. J. Bifur. Chaos Appl. Sci. Engrg. 22 (2012), no. 10, 1250234, 9 pp.1793-6551
AU - Gambino, Gaetana
PY - 2013
Y1 - 2013
N2 - In this paper the authors analyze the onset of the wave turbulence in the spatially extended threewaveinteracting model by using the concept of synchronization. In order to work with a setof ordinary differential equations, they make a pseudo-spectral decomposition of the wave fieldand identify the onset of wave turbulence as the excitation of spatial modes in the presence ofunderlying temporally chaotic dynamics. Each spatial point is regarded as a nonlinear oscillatorand the onset of wave turbulence is the point where the oscillators lose phase synchronization.The authors use an extremely sensitive complex-order parameter to estimate the threshold of weakturbulence and perform a Lyapunov analysis leading to the detection of the so-called blowoutbifurcation.
AB - In this paper the authors analyze the onset of the wave turbulence in the spatially extended threewaveinteracting model by using the concept of synchronization. In order to work with a setof ordinary differential equations, they make a pseudo-spectral decomposition of the wave fieldand identify the onset of wave turbulence as the excitation of spatial modes in the presence ofunderlying temporally chaotic dynamics. Each spatial point is regarded as a nonlinear oscillatorand the onset of wave turbulence is the point where the oscillators lose phase synchronization.The authors use an extremely sensitive complex-order parameter to estimate the threshold of weakturbulence and perform a Lyapunov analysis leading to the detection of the so-called blowoutbifurcation.
KW - Synchronization of chaos
KW - onset of turbulence
KW - wave turbulence
UR - http://hdl.handle.net/10447/103248
M3 - Review article
VL - 2013
JO - MATHEMATICAL REVIEWS
JF - MATHEMATICAL REVIEWS
SN - 0025-5629
ER -