This course deals with analysis, modelling and synthesis of nonlinear dynamical systems, with the emphasis on models of oscillators (e.g., circuits and neurons). Topics include numerical tools for analysis, bifurcations and transitions between different dynamics, multistability, chaos. On request of at least one student, the lectures and teaching activities will be delivered in English, otherwise in Italian.
To be able to analyze (analytically and/or numerically) a nonlinear dynamical system, even if dependent on parameters.
To be able to synthesize some classes of nonlinear dynamical systems
Combination of traditional lectures (about 30 hours) and classroom MATLAB sessions (about 20 hours).
1) analysis of nonlinear dynamical systems (about 65%)
2) approximate synthesis of systems for nonlinear signal processing (about 35%).
The teaching topics are applied to examples arising from different contexts, e.g.: 1) nonlinear oscillators (mainly electronic and biological); 2) neuron networks, control systems, circuits and algorithms for image processing.
The lectures are associated to MATLAB computer simulation exercises, aimed to apply and reinforce the main teaching topics.
-) Material provided by the lecturer (main reference textbook, in Italian)
-) S.H. Strogatz, Nonlinear dynamics and chaos, Addison-Wesley, 1994.
Ricevimento: by appointment email: marco.storace@unige.it Tel.: 0103532079 (off.) 0103532276 (lab.)
MARCO STORACE (President)
ALBERTO OLIVERI
MAURO PARODI
Regular (http://www.ingegneria.unige.it/index.php/orario-e-calendario-delle-lezioni)
NONLINEAR DYNAMICS
Oral examination and possible (upon student demand) nonlinear dynamical system analysis, using the analytical and numerical tools introduced during the course.
