Synergetics 2.

Course description:
Chaos, order, symmetry Chance and chaos. Deterministic and nondeterministic chaos. Attractors. Fractal description. Evolution The cosmogonic myths and the static world. Kant's waves and world of Laplace-Einstein. Thermodinamic evolution and entropy; the arrow of time. Biological ang physical evolution. Evolution equations Linear and nonlinear waves. Dispersion and dissipation of waves related to nonlinearities. Evolution of solitons, stochastic equations. Thermodynamic approach of self-organization The onsager principle. Theorem of Prigogine. Entropy production. Nonlinear thermodynamics. The dynamic approach of self-organization Phase portraits. The Oregonator and Brusselator. Turing modell. Fluctuations. The synergetic approach Random and stochastic processes. The Flokker-Planck equation. The role of fluctuations. Nonequilibrium phase transition.

Recommended Texts:

• Haken H.: Synergetics, Springer, Berlin, 1983
• Mandelbrot, B. B. The fractal geometry of nature, Freeman, San Francisco, 1982
• Nicolis, G., Prigagive, I.: Self organisation in nonequlibrium systems, Wiley and Sons, 1977
• Tabor, M.: Chaos and integrability in nonlinear dynamics, Wiley and Sons, 1989