Springer - Information and anization - A Macroscopic Approach plex Systems, 3rd ed - Hermann Haken.pdf
1. Economy plex Systems What Is plex System? The aim of this book is to develop concepts and methods that allow us to deal with economic systems from a unifying physically motivated point of view. An economy is usually classified as a manifestation plex social systems. To clarify this statement, we have to discuss what we mean by complex systems. Unfortunately, an exact definition plex systems is still an open problem. In a heuristic manner, we may describe them as: Complex systems posed of many particles, or objects, or elements that may be of the same or different kinds. The elements may interact in a more or plicated fashion by more or less nonlinear couplings. In order to give this formal definition a physical context, we should qualitatively discuss some typical systems that may be denoted truly complex. The various branches of science offer us numerous examples, some of which turn out to be rather simple, whereas others may be called plex. Let us start with a simple physical example. Granular matter posed of many similar granules. Shape, position, and orientation of ponents determine the stability of granular systems. plete set of the particle coordinates and of all shape parameters defines the actual structure. Furthermore, under the influence of external force fields, the granules move around in quite an irregular fashion, whereby they perform numerous more or less elastic collisions with each other. A driven granular system is a standard example of plex system. The permanent change of the structure due to the influence of external fields and the interaction between ponents is a characteristic feature plex systems. Another plex system is Earth’s climate, passing all components of the atmosphere, biosphere, cryosphere, and oceans and con- sidering the effects of extraterrestrial processes such as solar radiation and tides. Computers and works are interpreted as a new class of complex systems. This is especially so with respect to
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