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Ordinary Differential Equations and Dynamical Systems


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.


Employees and PhD students

  • prof. dr hab. Krzysztof Barański

    Complex dynamics, 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

    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 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

    Differential equations: polynomial vector fields, normal forms of singularities, holomorphic foliations