Inhaltsverzeichnis:

1 Einleitung                                    5 1.1 Synergetische Systeme          5 1.2 Ordnungsparameter                6 1.3 Das Phänomen der Selbstordnung 6 1.4 Stabiles und instabiles Gleichgewicht 9 2 Bifurkationen                             10 3 Wege ins Chaos                       12 4 Diskrete logistische Dynamik 14 4.1 Periodenverdoppelungen     15 4.2 Universalität                           17 4.3 Logistisches Chaos               17 4.4 Intermittenz                             19

4.5 Seltsame Attraktoren         20 4.6 Ljapunov-Exponenten       21 5 Laserchaos                             24 6 Kontinuierliche Dynamik     32 6.1 Populationen in Symbiose 32 6.2 Lasermodell                         34 6.3 Lorenz-Modell                    34 6.4 Computersimulationen      35 7 Schlussbemerkungen           39 8 Abstract                                 40 9 Literatur                                  40

Abstract:
Abstract: Hierarchies of order in nonlinear systems
Experimental observations and computer simulations of the nonlinear response are discussed for synergetic systems showing self-order. Experimental and theoretical evidence is presented that the instabilities, which lead to fixed point behavior, limit-cycle behavior and deterministic chaos, show a hierarchical structure. For many different systems these hierarchies are of universal nature.