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JOURNALS // Meždunarodnyj naučno-issledovatel'skij žurnal // Archive

Meždunar. nauč.-issled. žurn., 2016 Issue 7-4(49), Pages 98–101 (Mi irj138)

PHYSICS AND MATHEMATICS

The theory of instability and chaos criteria

G. E. Skvortsova, E. N. Perevoznikovb

a Saint Petersburg State University
b Peter the Great St. Petersburg Polytechnic University

Abstract: We give a summary of the theory of instability. A summary of the theory of instability is given. This physical theory considers all possible phenomena of instability. Here a complete picture of the theory is given. It consists of three main sections. The first section contains the main points: the definition of instability, the basic concepts, the system of laws and principles. The second section constitute the basic methods of obtaining criteria of instability and chaos, and their application to model problems. The third section examines models of real systems. Then we follow this scheme. Along with the previously used is found a new method of non-linear range. An example is the electronic generator model.

Keywords: instability, chaos, instability theory, chaos criteria.

DOI: 10.18454/IRJ.2016.49.073



© Steklov Math. Inst. of RAS, 2024