Obiettivo 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 methods of the theory of integrability of dynamical systems. We then study bifurcations of limit cycles and critical periods arising after perturbations of higher dimensional integrable systems of differential equation. Furthermore, we intend to study the problem of isochronicity (which is equivalent to the problem of linearization). (2) We propose to study the global topological linearization, linearization of integral manifold, smooth linearization with the emphasis on the study of the linearization of non-autonomous systems when the nonlinear term is unbounded or linear system does not possess exponential dichotomy (in critical state). Up to now there are few results concerning the linearization Campo scientifico natural sciencesmathematicspure mathematicsmathematical analysisdifferential equationsnatural sciencesmathematicsapplied mathematicsdynamical systemsnatural sciencesmathematicspure mathematicsgeometrynatural sciencesmathematicspure mathematicsalgebraalgebraic geometry Parole chiave bifurcation linearization stability Programma(i) H2020-EU.1.3. - EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions Main Programme H2020-EU.1.3.2. - Nurturing excellence by means of cross-border and cross-sector mobility Argomento(i) MSCA-IF-2014-EF - Marie Skłodowska-Curie Individual Fellowships (IF-EF) Invito a presentare proposte H2020-MSCA-IF-2014 Vedi altri progetti per questo bando Meccanismo di finanziamento MSCA-IF - Marie Skłodowska-Curie Individual Fellowships (IF) Coordinatore CENTER ZA UPORABNO MATEMATIKO IN TEORETICNO FIZIKO UNIVERZE V MARIBORU Contribution nette de l'UE € 157 287,60 Indirizzo MLADINSKA ULICA 3 2000 MARIBOR Slovenia Mostra sulla mappa Regione Slovenija Vzhodna Slovenija Podravska Tipo di attività Research Organisations Collegamenti Contatta l’organizzazione Opens in new window Sito web Opens in new window Partecipazione a programmi di R&I dell'UE Opens in new window Rete di collaborazione HORIZON Opens in new window Costo totale € 157 287,60
