Michal Pospíšil

collaborators

3 papers

math.DS2025

Some contributions on Melnikov chaos for smooth and piecewise-smooth planar systems: "trajectories chaotic in the future"

Alessandro Calamai, Matteo Franca, Michal Pospisil

We consider a $2$ -dimensional autonomous system subject to a $1$ -periodic perturbation, i.e. $x ˙ = f (x) + I^µ g (t, x, I^µ), x \in I^c ◯ .$ We assu…

math.DS2025

A new construction for Melnikov chaos in piecewise-smooth planar systems

Alessandro Calamai, Matteo Franca, Michal Pospisil

In this paper we consider a piecewise smooth $2$ -dimensional system \[ \dot{\vec{x}}=\vec{g} (\vec{x})+\varepsilon\vec{g}(t,\vec{x},\varepsilon) \] where $ε > 0$ is a small…

math.DS2025

On the dynamics of non-autonomous systems in a~neighborhood of a~homoclinic trajectory

Alessandro Calamai, Matteo Franca, Michal Pospisil

This article is devoted to the study of a $2$ -dimensional piecewise smooth (but possibly) discontinuous dynamical system, subject to a non-autonomous perturbation; we assume that t…