We prove the existence of minimal heteroclinic orbits for a class of fourth order O.D.E. systems with variational structure. In our general set-up, the set of equilibria of these systems is a union of manifolds, and the ...

This work introduces novel parallelization techniques for Quantized State System (QSS) simulation of continuous time and hybrid systems and their implementation on a multi-core architecture. Exploiting the asynchronous ...

This article introduces the joint usage of Quantized State System (QSS) methods and classic numerical integration algorithms in the simulation of continuous time systems described by systems of Ordinary Differential Equations ...

This chapter is dedicated to the study of semidynamical systems generated by generalized ordinary differential equations (ODEs). Besides the existence of a local semidynamical system, it shows the existence of an associated ...

This paper establishes conditions for global/local robust asymptotic stability for a class of multi-order nonlinear fractional systems consisting of a linear part plus a global/local Lipschitz nonlinear term. The ...