DYNAMICAL SYSTEMS
Academic Year 2016/2017 - 3° Year - Curriculum APPLICATIVOCredit Value: 6
Scientific field: MAT/07 - Mathematical physics
Taught classes: 48 hours
Term / Semester: 2°
Learning Objectives
1. To give the base elements of continuous and discrete dynamical systems
2. Starting from the real world models to build mathematical models.
3. Analysis and interpretation of the results.
4. Study of the dynamic flow systems: equilibria and their stability, attractors.
Detailed Course Content
Introduction to discrete and continuous finite-dimensional dynamical systems.
Linear and nonlinear dynamical systems
Equilibria and their stability
Periodicity and chaos
Fractals
Complete programme here:
http://www.dmi.unict.it/~mulone/programma_sistemidinamici1617.pdf
Textbook Information
1. E. Scheinerman, Invitation to Dynamical Systems, testo disponibile online: http://www.ams.jhu.edu/∼ers/invite/book.pdf
2. L. Perko, Differential equations and dynamical systems, 3rd ed. - New York: Springer-Verlag, 2001.
3. M. W. Hirsch, S. Smale, Differential equations, dynamical systems, and linear algebra, New York: Academic Press, 1974.
4 E. Salinelli, F. Tomarelli, Modelli dinamici discreti, Milano: Springer-Verlag Italia, 2002.
5. S.H. Strogatz, Nonlinear dynamics and caos, Westview, Cambridge, MA, 2000.
6. A. Milani comparetti, Introduzione ai sistemi dinamici, Ed. Plus, Pisa, 2002
7. S. Lynch, Dynamical Systems with Applications using MATLAB, Birkh¨auser 2004.
8. G. Mulone, Appunti di sistemi dinamici, 2002.