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Intermittent chaos in nonlinear wave–wave interactions in space plasmas |
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| Authors: | Rodrigo A Miranda Erico L Rempel Abraham C-L Chian Felix A Borotto |
| Institution: | aNational Institute for Space Research (INPE) and World Institute for Space Environment Research (WISER), P.O. Box 515, São José dos Campos-SP 12227-010, Brazil;bCentro de Estudios del Cuaternario (CEQua), Universidad de Magallanes, Punta Arenas, Chile;cDepartamento de Física, Universidad de Concepción, Concepción, Chile |
| Abstract: | There is increasing observational evidence of nonlinear wave–wave interactions in space and astrophysical plasmas. We first review a number of theoretical models of nonlinear wave–wave interactions which our group has developed in the past years. We next describe a nonlinear three-mode truncated model of Alfvén waves, involving resonant interactions of one linearly unstable mode and two linearly damped modes. We construct a bifurcation diagram for this three-wave model and investigate the phenomenon of intermittent chaos. The theoretical results presented in this paper can improve our understanding of intermittent time series frequently observed in space and astrophysical plasmas. |
| Keywords: | Nonlinear wave– wave interactions Alfvé n waves Intermittency Nonlinear dynamics Chaos |
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