The following thesis will examine bifurcation phenomena in dynamical systems. In the theoretical part, basic terms and relations found in literature will be elaborated, focussing on the Hopf bifurcation. In the second part, two models for dynamical systems will be developed, namely one example of a continuous and one of a discrete dynamical system. These modellings illustrate the link between the first part's theoretical basis and the practiceoriented application, reected in the models. The discrete dynamical system, a model displaying the course of opinion during a discussion, was experimentally evaluated. These research findings will serve to align the model with reality and therefore verify its applicability and relation to actuality. In the process, I found that the model is able to respond exibly to different courses of opinion and that genuine developments can be adequately illustrated. The last part of this thesis will point out perspectives on possible starting points for further research and improvement concerning this model.