Transitions in coupled non-stationary complex systems with minimal perturbation
Topological and analytical techniques for robustness and ergodicity of global dyna...
Grant number: | 12/22285-4 |
Support Opportunities: | Research Grants - Visiting Researcher Grant - International |
Field of knowledge: | Physical Sciences and Mathematics - Astronomy - Solar System Astronomy |
Principal Investigator: | Erico Luiz Rempel |
Grantee: | Erico Luiz Rempel |
Visiting researcher: | Podvigina Olga Mikhailovna |
Visiting researcher institution: | Russian Academy of Sciences (RAS), Russia |
Host Institution: | Divisão de Ciências Fundamentais (IEF). Instituto Tecnológico de Aeronáutica (ITA). Ministério da Defesa (Brasil). São José dos Campos , SP, Brazil |
Abstract
During her visit, Dr. Olga Podvigina will transfer part of her experience on bifurcations in dynamical systems with symmetries through a minicourse to the Professors, post-graduation students and post-doctoral researchers of the Mathematics Department of ITA, as well as from other Departments and Institutes. This course is important for our group, since we have been studying hydromagnetic dynamos in systems with symmetries using an approach based on bifurcation theory. The course will be also useful for future exploration of simplified models of dynamo in spherical coordinates. Moreover, Dr. Podvigina will present two talks, tentatively scheduled for ITA and UNIFESP. Regarding the research activities, Dr. Podvigina will build a low-dimensional dynamical system with the same stationary states and main sequence of bifurcations as the regularized long-wave equation (RLWE), which has applications for the propagation of dynamo waves in the tachocline, where the solar dynamo is formed. She will adopt the center manifold reduction method. Our group has been regularly publishing works on the RLWE and we have observed that several dynamical transitions remain unexplained. We believe that the development of a low-dimensional model from the RLWE will help to elucidate the Physics of this important system. (AU)
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