2 papers
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 -dimensional system \[ \dot{\vec{x}}=\vec{g} (\vec{x})+\varepsilon\vec{g}(t,\vec{x},\varepsilon) \] where is a small…
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 -dimensional autonomous system subject to a -periodic perturbation, i.e. We assume…