Ordinary Differential Equations and Dynamical Systems

Description

Real and complex one-dimensional dynamics, geometry of fractal sets, multidimensional complex dynamics, theory of singularities of vector fields and distributions and related topics in real analytic geometry.

Seminars

• Seminar of Dynamical Systems Group

Employees and PhD students

• prof. dr hab. Krzysztof Barański

  Iteration of holomorphic maps, geometry of fractal sets

• dr hab. Marcin Bobieński

  Differential geometry, polynomial vector fields, generalized Abelian integrals and limit cycles in higher dimensional differential systems

• dr hab. Maciej Borodzik, prof. IMPAN

  Affine algebraic geometry (classification of complex plane algebraic curves, application to the problem of limit cycles of polynomial vector fields)

• dr hab. Galina Filipuk

  Ordinary differential equations: Fuchsian linear differential equations and nonlinear equations (Painleve equations), special functions (hypergeometric function, Heun's function and others)

• dr hab. Paweł Goldstein

  Finite and infinite-dimensional gradient flows, singularities of analytic vector fields; elliptic and parabolic nonlinear partial differential equations and systems; calculus of variations on metric measure spaces

• dr Michał Jóźwikowski

  Differential geometry, optimal control theory, sub-Riemannian geometry

• dr hab. Piotr Mormul, prof. UW

  Singularities of Pfaff systems and distributions, geometric control theory; contact geometry

• dr Waldemar Pałuba

  One dimensional real dynamics

• prof. dr hab. Anna Zdunik

  Holomorphic dynamics, ergodic theory of smooth dynamical systems

• prof. dr hab. Henryk Żołądek

  Ordinary differential equations, mathematical physics