With the successful completeness of the course, students will:
- know the prerequisites for the onset of non linear dynamical behaviour in physicochemical systems
- be capable to study experimentally the temporal and spatiotemporal self-organisation of chemical reactions being far from the thermodynamic equilibrium
- describe the basic mechanism underlying else-organization in chemical, biochemical, electrochemical and population systems
- get familiar with classical models used to describe and predict the periodic and chaotic behaviour
- understand and apply the basic principle of the linear stability analysis of non linear 2-D dynamical systems and the basic principles of the bifurcation theory
- recognise different routes to chaos and use methods for the analysis and characterisation of chaotic time-series and strange attractors
- understand fractal objects and how tο calculate their dimension
Course Content (Syllabus)
Emergence of periodic and chaotic behavior in physico-chemical dynamical systems. Chemical clocks: oscillatory homogeneous and heterogeneous chemical reactions.
Principles οf thermodynamics for systems being far from the equilibrium and stability criteria of non-reversible changes.
Linear stability analysis and bifurcation theory of non-linear dynamical systems.
Characterization of the non-linear response of dynamical systems and route to chaos. Time series analysis. Fractal structures.
Morphogenesis of static and dynamic chemical structures (Turing structures and chemical waves).
Βasics of mοdeling of physicochemical non-linear dynamical systems.
Oscillatory chemical reactions (i) homogeneous and non-homogeneous Belousov-Zhabotinsky reaction, (ii) electrochemical oscillators.
Additional bibliography for study
ΠEPIOΔIKH KAI XAOTIKH ΣYMΠEPIΦOPA ANOIKTΩN ΦYΣIKO-XHMIKΩN ΔYNAMIKΩN ΣYΣTHMATΩN, Μιχάλης Παγίτσας, Δήμητρα Σαζού, Εκδόσεις Γαρταγάνης, Θεσσαλονίκη, 2013