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3 projets européens trouvés

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 TERMINÉ 

Integrability and Linearization of Dynamical Systems (ILDS)

Date du début: 1 juil. 2016, Date de fin: 30 juin 2018,

The proposed research includes the following two main directions:(1) Using methods and tools of algebraic geometry and computational algebra, we study the integrability of the nonlinear dynamical systems. We focus on finding the varieties of integrability of dynamical systems with the emphasize on the higher dimensional systems. Our approaches are based on combining symbolic computations with ...
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 1

 TERMINÉ 

Unfoldings and Bifurcations of Polynomial Differential Systems (UBPDS)

Date du début: 30 juin 2016, Date de fin: 29 juin 2017,

We investigate the versal unfolding and bifurcations of planar polynomial differential systems having some topological structure. Specially, we classify the systems of high degree which have centers or degenerate equilibria. Then we study the degeneracy of the system and prove the existence of versal unfoldings. All possible bifurcations of unfolding systems will be discussed and topologica ...
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 1

 TERMINÉ 

DYNAMICAL SYSTEMS AND THEIR APPLICATIONS (DynSysApll)

Date du début: 1 oct. 2012, Date de fin: 30 sept. 2016,

The main objective of this project is to create fundamental understanding in dynamical systems theory and to apply this theory in formulating and analyzing real world models met especially in Neuroscience, Plasma Physics and Medicine. The specific objectives, tasks and methodology of this proposal are contained in the 5 WPs of the project. In WP1 we want to develop new methods for the center and i ...
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