ECTS - University of Pisa
Students are expected to acquire: some knowledge of stochastic calculus and probability, chaos dynamics and of the relevant tools and models; some knowledge to the appropriate tools to approach complex systems;
Students are expected to apply the learnt methods to a concrete case of interest. The emphasis will be on how the apply the learnt methodologies rather than on the results achieved in the application.
Methods:
The student will be able to study and model some simple "complex system"
The student will be invited to apply to concrete cases some of the methodolies taught, throughout the lectures
The student need to have the standard knowledge in maths and physics of a physics bachelor: calculus in many variables, knowledge of Fourier transform, classical physics (in particular, Hamiltonian mechanics), some background in classical thermodynamics.
Delivery: face to face
Learning activities:
Attendance: Advised
Teaching methods:
The course has a modular structure: 6 ECTS are devoted to general tools to study complex systems, like stochastic methods, chaotic dyamics etc.. The students then take an additional 3 ECTS modulus which applies the general tools to some complex systems. The modulus offered will depend on the specific academic year.
Gardiner, Handbook of stochastic methods
Reichl, The transition to chaos
Tabor, Chaos and integrability in nonlinear dynamics
The exam will be in oral form. The student is expected to work on a small project during which he/she will apply the the tools and methodologies taught in the lectures, and to prepare a small talk/script, which will be the basis from which the oral exam will be carried out
Yes
