CFU
6
Length
14 Weeks
Semester DD
Second
Introduction to stability and chaotic dynamics. Discrete and continous dynamical systems. Lyapunov exponents and probabilty measures. Ergodic properties of invariant measure. Multifractal theory of dissipative dynamical systems.
LEARNING OUTCOMES: Study of nonlinear properties of dynamical systems. Understanding of the basic mechanisms leading to chaotic behavior and definition of chaotic behavior. Study of the probability distribution for a chaotic system and application of multifractal analysis methods.
KNOWLEDGE AND UNDERSTANDING: Knowledge on how to apply different data analysis to the chaotic / complex behavior of a dynamical system
APPLYING KNOWLEDGE AND UNDERSTANDING:Clear identification of different theoretical methods to analyse chaotic/complex system behavior..
MAKING JUDGEMENTS:
Ability to recognize which techniques is the most suitable in the development of the theoretical and / or numerical analysis of a dynamic system
COMMUNICATION SKILLS:
Clear and detailed explanation of how complex and / or chaotic behaviors occur in physical systems
LEARNING SKILLS:
Students must have acquired an understanding of the nature and ways of research in physics and how this is applicable to many fields, even different from physics itself, so as to be able to deal with the teaching of the discipline at secondary school level.