Synergetic approach

For example, the standard synergetic approach [52-54] denies the possibility of any self-organization in a system with with two intermediate products if only the mono- and bimolecular reaction stages occur [49] it is known as the Hanusse, Tyson and Light theorem. We will question this conclusion, which in fact comes from the qualitative theory of non-linear differential equations where coefficients (reaction rates) are considered as constant values and show that these simplest reactions turn out to be complex enough to serve as a basic models for future studies of non-equilibrium processes, similar to the famous Ising model in statistical physics. Different kinds of auto-wave processes in the Lotka and Lotka-Volterra models which serve as the two simplest examples of chemical reactions will be analyzed in detail. We demonstrate the universal character of cooperative phenomena in the bimolecular reactions under study and show that it is reaction itself which produces all these effects. 

Principles of Brain Functioning A Synergetic Approach to Brain Activity, Behavior and Cognition... 

This Devalue corresponds well to the heptylbenzoate molecule fractal dimension obtained in transesterification reaction process in BeO presence. Let s note, that the obtained within the synergetic approach stmctural stabihty measnie of metal atom is also the function of relative electronegativeness expressed by ratio (Fig. 8). One can see, that magnitnde decreases with relative electronegativeness raising from maximirm value A = 0.618 and at = 1.25... 

Now we can see that shape control and motion control make remarkably contrast, which is summarized in table 7.1. In this study, morphogenetic approach is taken to solve shape control problem and synergetic approach for motion control problem. 

Aizawa, Y. (1976) Synergetic approach to the phenomena of mode-locking in nonlinear systems. Prog. Theor. Phys. 56, 703... 

Tributsch, H. Pohlmann, L. 1995. Synergetic molecular approaches towards artificial and photosynthetic water photoelectrolysis. J. Electroanal. Chem. 396 53-61. 

Traditionally, the progress in dynamics has been achieved by a synergetic experimental-theoretical approach where the questions which were being raised by new experimental capabilities stimulated the development of theoretical tools. In a complementary fashion, suggestions by the theory as to hitherto unexplored effects were addressed by new experimental designs. 

Differences between nanophysics and nanochemistry have been lucidly delineated in a recent review on nanochemistry [6]. The aim in nanophysics is to generate small particles by reducing the size of bulk materials by using engineering-type manipulations. Conversely, nanochemists synthesize their materials by chemical reactions from atoms-up . A synergetic combination of these two approaches should not be overlooked, of course. 

The success of the synergetic (a + n) approach to the solution of metal carbonyl bonding led to its application to transition metal-phosphorus bonding. Mainly because it is symmetry allowed, chemists for the last two decades have drawn orbital diagrams such as those shown in Figure 19. Howevet, the experimental facts that indicated (M—P)ji bonding gave no indication as to the nature of the phosphorus orbital. 

It is always very difficult in the science of catalysis to make evident the true nature of active sites existing under dynamic conditions. Also the essence of the synergetic effect of Cu and ZnO is still not explicit. However, since the instrumental analysis conducted under the conditions close to the working state is developing, it is certain that we are gradually approaching the entity of catalysis. 

Novikov, V. U. Kozlov, G. V. The foundations of fractal approach to polymers structure. Non-Euclidean physics of polymers. In Applied Synergetics, Fractals and Structures Computer Simulation. Ed. Oksogoev, A. Tomsk, TSU, 2002, 268-302. 

The term synergetic is very important in the definition. It indicates a concurrent and cooperative approach of various disciplines. 

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