On the foundations of synergetics

We introduce basic notions, concepts, and principles of synergetics and work out the interdisciplinary aims of this new scientific discipline. To some extend the laser as a system of physics as well as the application of synergetics to a system taken from economics will be presented. A generalization of the methods to an important class of functional differential equations will be outlined.

[1]  Hermann Haken,et al.  Interdisciplinary approaches to nonlinear complex systems , 1993 .

[2]  H. Haken.  Generalized Ginzburg-Landau equations for phase transition-like phenomena in lasers, nonlinear optics, hydrodynamics and chemical reactions , 1975 .

[3]  Vladimir Igorevich Arnold,et al.  Geometrical Methods in the Theory of Ordinary Differential Equations , 1983 .

[4]  A. Wunderlin,et al.  On the Application of Synergetics to Social Systems , 1993 .

[5]  Hermann Haken,et al.  An introduction to synergetics , 1995 .

[6]  Robert Graham,et al.  Lasers and Synergetics , 1987 .

[7]  A. Wunderlin.  On the Slaving Principle , 1987 .

[8]  Rudolf Friedrich,et al.  Evolution of Dynamical Structures in Complex Systems , 1992 .

[9]  Hermann Haken,et al.  Fluctuations and stability of stationary non-equilibrium systems in detailed balance , 1971 .

[10]  Heinz Georg Schuster,et al.  Dynamics of Lasers , 1991 .

[11]  Hermann Haken,et al.  Laser Theory , 1983 .

[12]  H. Haken,et al.  Generalized thermodynamic potential for Markoff systems in detailed balance and far from thermal equilibrium , 1971 .

[13]  S. Chandrasekhar.  Hydrodynamic and Hydromagnetic Stability , 1961 .

[14]  Wischert,et al.  Delay-induced instabilities in nonlinear feedback systems. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[15]  E. M. Lifshitz,et al.  Course in Theoretical Physics , 2013 .

[16]  Christian Uhl,et al.  Synergetic Analysis of Human Electroencephalograms: Petit-Mal Epilepsy , 1992 .