Obiettivo The research project deals with the study of the dynamic behaviors occurring in noninvertible discrete dynamical systems (or maps) of the plane and of the space, and bifurcations, both in the phase space and in the parameter space. This research argument is of wide interest nowadays. Indeed, a generic model describing, or simulating, in discrete time a real behavior in some applied context is represented by a noninvertible map, often in two or three state variables of interest (or macro-variables), whose d ynamic behavior is under study in order to predict or control his time evolution. Relevant examples can be found in physics, economics, social sciences and mainly in engineering. The theory of Nonlinear Dynamical Systems is well advanced, since its beginn ing, in the case of smooth maps with a unique inverse (that is, diffeomorphisms). But the models interesting in the applications are mainly noninvertible, and this class of maps has been less studied in the academic world. The pioneering works on this rese arch subject date back to 1970-80 by I. Gumowski and C. Mira, and followed by L. Gardini and her research group in Italy. However, the studies performed up to now are mainly associated with smooth noninvertible maps. But in several applied fields, often fo r simplifying purposes, the nonlinear equations underlying some specific dynamic behavior are piecewise linear. Our object is to investigate the dynamic behavior occurring in such kind of models, noninvertible and piecewise linear, both in the plane and i n the space. This project is performed in order to put together the specific competence existing in the University of Urbino (L. Gardini and her research working noninvertible maps) and the competence in the specific context of piecewise linear maps exist ing in the research group at the Institute of Mathematics of the National Academy of Sciences of Ukraine in Kiev (Dr. I. Sushko). Campo scientifico social scienceseconomics and businesseconomicsnatural sciencesmathematicsapplied mathematicsdynamical systems Programma(i) FP6-MOBILITY - Human resources and Mobility in the specific programme for research, technological development and demonstration "Structuring the European Research Area" under the Sixth Framework Programme 2002-2006 Argomento(i) MOBILITY-2.3 - Marie Curie Incoming International Fellowships (IIF) Invito a presentare proposte FP6-2002-MOBILITY-7 Vedi altri progetti per questo bando Meccanismo di finanziamento IIF - Marie Curie actions-Incoming International Fellowships Coordinatore UNIVERSITA DEGLI STUDI DI URBINO "CARLO BO" Contributo UE Nessun dato Indirizzo Via Saffi 2 URBINO Italia Mostra sulla mappa Costo totale Nessun dato
