3 papers
math.DS2023
Heteroclinic Solutions in Singularly Perturbed Discontinuous Differential Equations
Flaviano Battelli, Michal Fečkan, JinRong Wang
We derive Melnikov type conditions for the persistence of heteroclinic solutions in perturbed slowly varying discontinuous differential equations extending to these equations simil…
math.DS2021
Exponential Dichotomy for Noninvertible Linear Difference Equations
F. Battelli, M. Franca, K. J. Palmer
In this article we study exponential dichotomies for noninvertible linear difference equations in finite dimensions. After giving the definition, we study the extent to which the p…
nlin.PS2014
Dynamics of generalized PT-symmetric dimers with time periodic gain-loss
F. Battelli, J. Diblik, M. Feckan +3
A Parity-Time (PT)-symmetric system with periodically varying-in-time gain and loss modeled by two coupled Schrodinger equations (dimer) is studied. It is shown that the problem ca…