- Docente: Armando Bazzani
- Credits: 6
- SSD: MAT/07
- Language: Italian
- Teaching Mode: Traditional lectures
- Campus: Bologna
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Corso:
First cycle degree programme (L) in
Physics (cod. 9244)
Also valid for Second cycle degree programme (LM) in Computer Science (cod. 5898)
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from Sep 20, 2023 to Dec 20, 2023
Learning outcomes
Basic knowledge of physical and mathematical methods to develop dynamic and statistical model for the study of complex systems.
Course contents
Introduction to the Complex Systems Physics and definition of the concept of complexity in science. The role of mathematical models in Physics: concept of predictivity. Construction of a model for a complex system and the role of nonlinear interactions. Introduction to the study of dynamical systems with applications to complex systems models. Methods for the study of stochastic dynamical systems. Introduction to statistical mechanics: concept of emergent property, critical state and phase transition. Analysis of models both from a theoretical and numerical point of view for the description of complex systems. Applications to physics, physical chemistry, biology, economics and social systems. Analysis of data distributions, comparison of exponential laws and power laws. Examples of study of a complex system model.
Readings/Bibliography
paper and materials provided during the course
G.Nicolis C.Nicolis FOUNDATIONS OF COMPLEX SYSTEMS
Nonlinear Dynamics, Statistical Physics, Information
and Prediction World Scientific 2007
Numerical Recipes, W.H.Press et al, Cambridge University Press
Teaching methods
lessons, seminar and home works.
Assessment methods
The final exam consists in areport on a project at the end of the course and it aims to assess the achievement of learning objectives:
- To know the methodologies of the discipline in particular on data analysis, on numerical simulations and on solution visualization.
- To understand the characteristics of the various physical and social systems to which the methodologies discussed can be applied.
Teaching tools
personal PC. videoprojector, internet
Office hours
See the website of Armando Bazzani