Understanding how tangential singularities evolve under smoothing processes was one of the first problem concerning regularization of Filippov systems. In this paper, we are interested in C n -regularizations of Filippov ...

Monotonic structure of the space of trajectories of Young systems has been studied in a recent paper, Vieira et al. (J Dyn Control Syst 2013;19(3):405–420). In this paper, we study the notion of regularity for trajectories ...

Aqui traremos a descrição do formalismo de Hamilton-Jacobi para sistemas regulares como desenvolvido no livro de Carathéodory, seguida por dois exemplos que mostram sistematicamente sua aplicabilidade.

Aqui traremos a descrição do formalismo de Hamilton-Jacobi para sistemas regulares como desenvolvido no livro de Carathéodory, seguida por dois exemplos que mostram sistematicamente sua aplicabilidade.

This paper is concerned with some aspects of the qualitative-geometric theory of non-smooth systems. We present a survey of the state of the art on the connection between the regularization process of nonsmooth vector ...

This paper is concerned with some aspects of the qualitative-geometric theory of non-smooth systems. We present a survey of the state of the art on the connection between the regularization process of nonsmooth vector ...

Graph databases are currently one of the most popular paradigms for storing data. One of the key conceptual differences between graph and relational databases is the focus on navigational queries that ask whether some nodes ...

In this paper, we first investigate the prox-regularity behaviour of solution mappings to generalized equations. This study is realized through a nonconvex uniform Robinson Ursescu type theorem. Then, we derive new significant ...

In this article we establish an interaction between non-smooth systems, geometric singular perturbation theory and synchronization phenomena. We find conditions for a non-smooth vector fields be locally synchronized. ...