Mednarodni projekti vir: SICRIS

Integrability and Linearization of Dynamical Systems

Organizacije (1)

št.	Evidenčna št.	Razisk. organizacija	Kraj	Matična številka	Štev. publikacijŠtev. publikacij
1.	0176	Center za uporabno matematiko in teoretično fiziko Univerze v Mariboru	Maribor	5501890000	0

Povzetek

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

Filtri

Integrability and Linearization of Dynamical Systems

Zgodovina ogledov

Priljubljeno

Filtri

Integrability and Linearization of Dynamical Systems

Zahtevana je potrditev

Zgodovina ogledov

Priljubljeno