Untitled Document

Special Session 59

Topological Invariants in Dynamical Systems

Organizer(s):

Grzegorz Graff

Waclaw Marzantowicz

Introduction:
The session will be focused on topological invariants such as Nielsen and Lefschetz numbers, zeta-type functions, fixed point index and fixed point indices of iterations, Conley index; and their applications in low dimensional dynamics, periodic point theory and differential equations.

List of abstracts Go Back
Name	Country	Title
Wojciech Kryszewski	Poland	On a generalized Poicare-Hopf formula in infinite dimension
Alfonso Ruiz	Spain	Location of fixed points in the presence of two cycles
Francisco R Ruiz~del~Portal	Spain	Rotation numbers of attractors
Robert Skiba	Poland	The Fuller index and bifurcation points
Jos\'{e} M Salazar	Spain	A Poincar\'{e} formula for the fixed point indices of the iterates of planar homeomorphisms
Marco Spadini	Italy	A set of axioms for the degree of a tangent vector field on differentiable manifolds
Piotr Nowak-Przygodzki	Poland	Otopy classes of local maps
Grzegorz Graff	Poland	Local fixed point indices of iterations of planar maps
Clementa Alonso	Spain	On the determination of the topology of vector fields singularities by the Newton Polyhedron
Jerzy Jezierski	Poland	Fixed point indices of iterated smooth maps in arbitrary dimension
Grzegorz Gabor	Poland	Viable trajectories in state-dependent impulsive systems
Jacek Szybowski	Poland	Cohomological $M$-index over the phase space for discrete semidynamical systems
Wac{\l}aw B Marzantowicz	Poland	A symmetry of map and periodic points
P. Christopher Staecker	USA	Nielsen coincidence theory of iterates
Justyna Signerska	Poland	Firing maps for differential equations with almost periodic coefficients
Pawe\l{} Pilarczyk	Portugal	Automatic computation of the Conley index. Algorithms and applications
Piotr Zgliczy\'{n}ski	Poland	Some results on multidimensional perturbations of 1-dim maps
Heinrich Steinlein	Germany	Equivariant Degree Theory and its Applications, Part 1
Marc Bonino	France	A topological version of the Poincar\'{e}-Birkhoff theorem
Wieslaw Z Krawcewicz	USA	Equivariant Degree Theory and its Applications, Part 2
Joel Better	Spain	Wecken Theorems for n-Valued Maps
Aleksander Cwiszewski	Poland	Averaging method and periodic solutions of evolution systems