Introduction to dynamical systems. Autonomous equations, critical points, periodic solutions and theory of stability.
Mappings, theory of bifurcation, chaos and self-organization, Quantification of chaos.
Thermodynamical and kinetic aspects of structure formation in systems far from equilibrium. Kinetic interpretation of living systems, spatial and temporal self- organization in biochemical and biological systems.
Order and chaos in chemical and physiological systems.
Self-organizing systems of macromolecules and interpretation of biological evolution.
Chaos and experimental time series analysis.
Control of chaos.
References :
R.C. Hilburn, Chaos and nonlinear dynamics, Oxford University Press. NY, 1994.
G.Nicolis and I.Prigogine, Self-organization in non-equilibrium systems, John Wiley & Sons, New York,1977.
S.K.Scott, Chemical Chaos, Clarendon Press, Oxford, 1991.
L. Glass and M.C. Mackey, From clocks to Chaos, The rhythm of life Princeton University Pres, NJ, 1988.