Topological dynamics

The language applied is poorer and hence is more simple than that of the theory of differential equations. It is the language of topological dynamics [3-7]. Let us introduce the main concepts required here and in what follows. 

W. H. Gottschalk, Bibliography for Topological Dynamics, Wesleyan University, Middle-town, CT, 1966. 

K.S. Sibirskii, Introduction to Topological Dynamics, RIO Akad. Nauk Moldavian SSR, Kishinev, 1970 (in Russian). 

QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS. V.V. Nemytskii and V.V. Stepanov. Classic graduate-level text by two prominent Soviet mathematicians covers classical differential equations as well as topological dynamics and erqodic theory. Bibliographies. 523pp. 5X x 8X. 65954-2 Pa. 10.95... 

The general setting is that of topological dynamics in a metric space. Although the results will not be needed in this generality, this is the most elegant presentation of the results. The reader who does not wish to be concerned with this level of abstraction should just read K" for locally compact metric space. ... 

Gel model None Chemical gels Elasticity Topological dynamic asymmetry... 

Sire, E.-O., 1986, On topological-dynamical equivalent representation of reaction networks The omega-equation and a canonical class of mass action kinetics, Ber. Bunsen-ges. Phys. Chem.. 90 1087. 

Interpretation of the system s topological dynamics is performed within the frame of the modem catastrophe theory [12]. Configuration of the computing complex is presented with a fractal graph... 

As a result of information processing about the system s topological dynamics considering formulated above axioms at the interval [to, tk interpretation operations are executed. While executing the first event the rule Pi is realized which fits the algorithm and the original fractal structure Go and so on. This sequence is determined by fixed system s position which are characterized by fractal displays Gi,. .., Gn in the current situation ... 

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