Discontinuous Dynamical Systems

Nowadays, there are a lot of researches devoted to discontinuous dynamics. Nevertheless, some of them are either just mimicking the results of continuous dynamics or they consider proper discontinuous processes in respectively simple arrangement of problems. We mean discontinuous dynamics those, which have discontinuous rate of change and/or discontinuous trajectories. For mechanical processes the studies often relate to simple description of impacts (Newton restitution law) , which assumed to be experimental and consequently, by our sentiments, can be developed with more sophisticated formulations. The same is true for electronics, where modern development of computer and neurosciences may give us new ideas of modeling with consecutive improvement of mathematical as well as application analysis. These are ideas, which lead us in the research of Discontinuous Dynamical Systems.