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Integrability and Linearization of Dynamical Systems

Objective

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

Field of science

  • /natural sciences/mathematics/pure mathematics/mathematical analysis/differential equations
  • /natural sciences/mathematics/pure mathematics/geometry
  • /natural sciences/mathematics/applied mathematics/dynamical systems
  • /natural sciences/mathematics/pure mathematics/algebra/algebraic geometry

Call for proposal

H2020-MSCA-IF-2014
See other projects for this call

Funding Scheme

MSCA-IF-EF-ST - Standard EF

Coordinator

UNIVERZA V MARIBORU, CENTER ZA UPORABNO MATEMATIKO IN TEORETICNO FIZIKO P.O. ZAVOD
Address
Krekova Ulica 2
2000 Maribor
Slovenia
Activity type
Research Organisations
EU contribution
€ 157 287,60