Piotr Kalita

collaborators

2 papers

math.DS2025

$C^{1}$ invariant, stable and inertial manifolds for non-autonomous dynamical systems

Radosław Czaja, Piotr Kalita, Alexandre N. Oliveira-Sousa

We use the version of the Lyapunov--Perron method operating on individual solutions to investigate the existence of invariant manifolds for non-autonomous dynamical systems, focusi…

math.DS2024

Stability of phase portrait for a gradient ODE with memory

Piotr Kalita, Piotr Zgliczyński

We consider the problem governed by the gradient ODE $x^{'} = \nabla F (x)$ in $R^{d}$ on which we assume that it has a finite number of hyperbolic equilibria whose stable and uns…

C1 invariant, stable and inertial manifolds for non-autonomous dynamical systems

Stability of phase portrait for a gradient ODE with memory

$C^{1}$ invariant, stable and inertial manifolds for non-autonomous dynamical systems