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RELATION BETWEEN DYNAMIC CHAOS AND INSTABILITY OF THIRD TYPE OF SYSTEMS
GALKIN V.A. 1, IGNATENKO A.P. 2, KHVOSTOV D.YU. 2, MILLER A.V. 2, VEDENEEV V.V. 2

1. Scientific Research Institute for System Studies, Federal Research Center, Russian Academy of Sciences, Nakhimovsky pr., 36, Moscow, Russia, 117218
2. Surgut State University, Lenin pr., 1, Surgut, 628400, Russia

Abstract:

The discovery of Lorentz´s dynamic chaos in a certain meaning gave hope for an objective description of living systems. However, two Nobel laureates (M. Gell-Mann and I.R. Prigogine) were mistaken, considering it possible to apply models of dynamic chaos in the description of living systems. The main signs of Lorentz chaos are absent in the description of systems of the third type (according to W. Weaver). This article presents the mathematical criteria of Lorentz chaos and special statistical chaos of the third type of systems (living systems) in the form of the second type of uncertainty in the framework of the third paradigm. The evidence of statistical instability for successively obtained samples of various parameters of living systems is presented. A description is given of the main methods for studying living systems in the framework of the new theory of chaos-self-organization. The main attention is drawn to differences in the concept of a quasi-attractor in the theory of dynamic chaos of Lorentz and in the theory of chaos-self-organization, which is now being developed by V.M. Eskova, A.A. Khadartsev and V.F. Pyatin.

Keywords: chaos, instability, the effect of Eskov-Zinchenko, quasiattractors.