@InProceedings{MirandaChiaRemp:2006:ObThCh,
               author = "Miranda, Rodrigo Andr{\'e}s and Chian, Abraham Chian Long and 
                         Rempel, Erico Luiz",
          affiliation = "Instituto Nacional de Pesquisas Espaciais, Divis{\~a}o de 
                         Geof{\'{\i}}sica Espacial (INPE.DGE) and Instituto Nacional de 
                         Pesquisas Espaciais, Divis{\~a}o de Geof{\'{\i}}sica Espacial 
                         (INPE.DGE) and ITA",
                title = "Observation and theory of chaos in solar and planetary radio 
                         emissions",
            booktitle = "Proceedings...",
                 year = "2006",
         organization = "Experimental Chaos Conference, 9.",
             abstract = "Observational data from solar radio emissions have presented 
                         chaotic signatures. Kurths and Karlicky (1989), using data from 
                         the Tremsdorf Solar Radio Observatory during a type IV solar radio 
                         burst, obtained positive values for the maximum Lyapunov exponent 
                         which indicates the presence of deterministic chaos. Isliker and 
                         Benz (1994), using data from several solar events involving radio 
                         emissions from the spectometer IKARUS at Zurich, found that during 
                         solar radio bursts the temporal time series exhibit intermittent 
                         patterns. Kurths and Schwarz (1994) showed that solar radio bursts 
                         detected at the Metsahovi Radio Research Station (Helsinki) 
                         exhibit non-stationary or transient behavior, which is 
                         characteristic of chaotic systems. Nonlinear wave-wave 
                         interactions can be a source of radio emissions. Theoretical 
                         studies of generation of solar and planetary radio emissions have 
                         been carried out. Chian et al. (2000) studied a model for the 
                         nonlinear 3-wave interactions involving Langmuir, whistler and 
                         Alfv{\'e}n waves, and its evolution from orderly to chaotic 
                         behaviors. In Chian et al. (2002), two types of intermittency were 
                         recognized in the numerical simulation of plasma emissions. 
                         Miranda et al. (2005) investigated the phenomenon of intermittency 
                         for a nonlinear model of 4-wave interactions. In this work we 
                         study the temporal dynamics of nonlinear 3-wave interactions 
                         involving one linearly unstable mode and two linearly damped modes 
                         having different damping rates in space plasmas. First, we 
                         construct a bifurcation diagram by choosing the damping rate of 
                         the second induced wave as our control parameter, and keeping all 
                         other system parameters constant. Then, we show the occurrence of 
                         two types of intermittency: the type-I Pomeau-Manneville, and the 
                         crisis-induced intermittency. Finally, the average time between 
                         intermittent events is calculated for different values of the 
                         control parameter, for each type of intermittency. The results 
                         presented in this study can improve our understanding of the 
                         intermittency frequently observed in chaotic time series from 
                         solar and planetary radio emissions.",
  conference-location = "S{\~a}o Jos{\'e} dos Campos, SP",
      conference-year = "2006-05-29",
                 isbn = "85-17-00025-0",
             language = "en",
        urlaccessdate = "03 maio 2024"
}