CDGHome
Application of mathematical dynamics methods was mainly to regular motions of the real world. The investigated motions were taken out of connections and isolated, and dynamical systems theory revolved around continuous motions.
1. Nowadays, the development of mathematics as a whole, computational methods and computing facilities make possible to enlarge, essentially, dimensions of systems, not just by considering many identical or similar units in one mathematical object, but exploring a multidimensional system as a non-homogeneous integrity.
2. The achieved level of the chaos theory supports us to claim that the world around is complex, and motions are mainly irregular, from the mathematical point of view.
3. If, finally, Newton and Leibniz brought us to the domination of continuity, this is a time to say that discontinuity and continuity are beside each other. There is time, now, not to reduce questions generated by abrupt changes in motion to methods of continuous analysis, but solve them directly through the approaches born in the discontinuous dynamics theory.
So, we suppose that by means of the three components, one can look at real world problems closer and more effectively
