# Search results for: Grzegorz Graff

Journal of Fixed Point Theory and Applications > 2019 > 21 > 2 > 1-21

*g*. We also partially confirm the...

Qualitative Theory of Dynamical Systems > 2019 > 18 > 2 > 533-546

*f*has at least $$|{\text {deg}}(f)|$$ | deg ( f ) | fixed points, where $${\text {deg}}(f)$$...

Mathematical Physics, Analysis and Geometry > 2018 > 21 > 3 > 1-18

Monatshefte für Mathematik > 2019 > 188 > 3 > 511-525

Archiv der Mathematik > 2018 > 110 > 6 > 617-627

*f*be an $${\mathbb {R}}^n$$ Rn -diffeomorphism, where $$n=2,3$$ n=2,3 , for which $$\{0\}$$ {0} is an isolated invariant set. We determine all possible forms of the sequences of fixed point indices of iterates of

*f*at 0, $$\{\mathrm{ind}(f^n, 0)\}_n$$ {ind(fn,0)}n , confirming in $${\mathbb {R}}^3$$ R3 the conjecture of Ruiz del Portal and Salazar (J Differ Equ 249, 989–1013, 2010).

Geometriae Dedicata > 2017 > 187 > 1 > 241-258

*M*be a smooth compact and simply-connected manifold with simply-connected boundary $$\partial M$$ ∂ M ,

*r*be a fixed odd natural number. We consider

*f*, a $$C^1$$ C 1 self-map of

*M*, preserving $$\partial M$$ ∂ M . Under the assumption that the dimension of

*M*is at least 4, we define an invariant $$D_r(f;M,\partial M)$$ D r ( f ; M , ∂ M ) that is equal...

Journal of Dynamics and Differential Equations > 2014 > 26 > 1 > 93-107

Autonomic Neuroscience: Basic and Clinical > 2013 > 178 > 1-2 > 60-66

Annales Polonici Mathematici > 2013 > 107 > 1 > 29-48

Journal of Fixed Point Theory and Applications > 2013 > 13 > 1 > 63-84

*M*be a closed smooth connected and simply connected manifold of dimension

*m*at least 3, and let

*r*be a fixed natural number. The topological invariant $${{D^m_r} [f]}$$ , defined by the authors in [

*Forum Math*.

**21**(2009), 491–509], is equal to the minimal number of

*r*-periodic points in the smooth homotopy class of

*f*, a given self-map of

*M*. In this paper, we present a general combinatorial...

Mathematica Applicanda > 2013 > 41 > 2

Open Mathematics > 2012 > 10 > 6 > 2160-2172

Topology and its Applications > 2012 > 159 > 18 > 3752-3759

Topology and its Applications > 2012 > 159 > 10-11 > 2728-2735

Central European Journal of Mathematics > 2012 > 10 > 6 > 2160-2172

*f*be a smooth self-map of

*m*-dimensional,

*m*≥ 4, smooth closed connected and simply-connected manifold,

*r*a fixed natural number. For the class of maps with periodic sequence of Lefschetz numbers of iterations the authors introduced in [Graff G., Kaczkowska A., Reducing the number of periodic points in smooth homotopy class of self-maps of simply-connected manifolds with periodic sequence of Lefschetz...

Journal of Differential Equations > 2011 > 251 > 6 > 1526-1548

Topology and its Applications > 2011 > 158 > 3 > 276-290