Synergetics 1.

Course description:
The subject of synergetics Prehistory of the subject. Phenomena of collective behaviour. Dissipative structures and autowaves. Catastrophe theory. Theory of bifurcations. System, structure, self-organization Systems and systematic approach, structure and organization. Self-organization, symmetry of causes and symmetry of consequences. Self-organization phenomena Equilibrium and nonequilibrium phases and phase transitions. Critical fluctuations. Order and control parameters. Long-range and short-range order. Bose-Einstein condensation. Instabilities. Autovibrations and autowaves. Solitons. Examples in Chemistry, Biology, Ecology and other fields. The role of the medium.

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