Maciej Starostka

activity

20132025

collaborators

Showing math.DSShow all

3 papers · 1 filter

math.DS2024

Local and Global Bifurcation for Periodic Solutions of Hamiltonian Systems via Comparison Theory for the Spectral Flow

Joanna Janczewska, Maciej Starostka, Nils Waterstraat

We obtain local and global bifurcation for periodic solutions of Hamiltonian systems by using a new way to apply a comparison principle of the spectral flow that was originally int…

math.DS2018

Connected components of the space of proper gradient vector fields

Maciej Starostka

We show that there exist two proper gradient vector fields on $R^{n}$ which are homotopic in the category of proper maps but not homotopic in the category of proper gradient…

math.DS2017

The $E$ -cohomological Conley Index, Cup-Lengths and the Arnold Conjecture on $T^{2 n}$

Maciej Starostka, Nils Waterstraat

We give a new proof of the strong Arnold conjecture for $1$ -periodic solutions of Hamiltonian systems on tori, that was first shown by C. Conley and E. Zehnder in 1983. Our proof u…

Local and Global Bifurcation for Periodic Solutions of Hamiltonian Systems via Comparison Theory for the Spectral Flow

Connected components of the space of proper gradient vector fields

The E-cohomological Conley Index, Cup-Lengths and the Arnold Conjecture on T2n

The $E$ -cohomological Conley Index, Cup-Lengths and the Arnold Conjecture on $T^{2 n}$