OVERVIEW

This subject deals with analysis, modelling and synthesis of nonlinear dynamical systems, with emphasis on models of oscillators (e.g., circuits and neurons). Topics include numerical tools for simulation and analysis of nonlinear dynamical systems (in MATLAB environment), bifurcations and transitions between different dynamics, multistability, chaos. On request of at least one student, the lectures and teaching activities will be given in English, otherwise in Italian.

AIMS AND CONTENT

LEARNING OUTCOMES

It is expected that at the end of this subject the student will be able to analyze (analytically and/or numerically) a nonlinear dynamical system, even if dependent on parameters. Moreover, he/she should be able to synthesize some classes of nonlinear dynamical systems.

AIMS AND LEARNING OUTCOMES

It is expected that at the end of this subject the student will be able to analyze (analytically and/or numerically) a nonlinear dynamical system, even if dependent on parameters. Moreover, he/she should be able to synthesize some classes of nonlinear dynamical systems. To this end, during the lectures the student will have to learn and apply analytical and numerical (MATLAB) tools for simulation, analysis and synthesis of nonlinear dynamical systems.

PREREQUISITES

Basic concepts of mathematics, physics, signal processing, automatic controls, electronics.

TEACHING METHODS

Combination of traditional lectures (about 30 hours) and classroom MATLAB sessions (about 20 hours).

SYLLABUS/CONTENT

1) analysis of nonlinear dynamical systems (about 70%)

2) approximate synthesis of systems for nonlinear signal processing (about 30%).

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.

Some lectures are concerned with MATLAB computer simulation exercises, aimed to apply and reinforce the main teaching topics.

For the students of the Bioengineering programme (6 CFU), part 2 is replaced by seminars related to models of neurons and neuron networks.

RECOMMENDED READING/BIBLIOGRAPHY

-) Notes provided by the lecturer (main reference textbook, in Italian)

-) S.H. Strogatz, Nonlinear dynamics and chaos, Addison-Wesley, 1994.

TEACHERS AND EXAM BOARD

Exam Board

MARCO STORACE (President)

ALBERTO OLIVERI

MAURO PARODI

LESSONS

LESSONS START

Regular (see the calendar at the website https://www.politecnica.unige.it/index.php/didattica-e-studenti/orario-e-calendario-delle-lezioni)

Class schedule

NONLINEAR DYNAMICS

EXAMS

EXAM DESCRIPTION

Oral examination and possible (upon student demand) nonlinear dynamical system analysis, using the analytical and numerical tools introduced during the lectures.

ASSESSMENT METHODS

The learning results are assessed through both the interaction during the lectures and the oral exam.

Exam schedule