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9
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vol 63 / September, 2020
Article

DOI 10.17586/0021-3454-2016-59-9-723-728

UDC 519.71

RESEARCH OF SCALAR FIELDS OF DYNAMIC SYSTEMS

V. A. Podchukaev
Saratov State Academy of Law; Institute of Precision Mechanics and Control RAS; Professor


O. V. Bryanceva
Saratov State Law Academy ; Associate Professor


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Abstract. Analysis of transition processes in scalar fields of dynamic systems generated by the effect of puncture points of these fields is presented. The resulting equation of displacement center motion for the scalar field of a dynamical system is derived in the form of an equilateral hyperbola with variable numerator, quantized by the puncture points of the displacement center. The quantum character of the motion is demonstrated with the help of topologic map of landmark signs using Lorenz attractor as an example. A notation for forward and backward movements is proposed to allow for visualization of both the movements with minimal means.
Keywords: scalar field, puncture point, displacement center, quantum of movement, direct motion, retrograde motion, topologic motion map, musical notation

References:
  1. Podchukaev V.A. Izv. vuzov. Priborostroenie, 2016, no. 1(59), pp. 5–24. (in Russ.)
  2. Podchukaev V.A. Bulletin of the Academy of Military Sciences, 2013, no. 5(59), pp. 5–75. (in Russ.)
  3. Arkhangel'skaya E.V., Bryantseva O.V., Podchukaev V.A. VII Mezhdunar. nauch.-prakt. konf. "Teoreticheskie i prikladnye aspekty sovremennoy nauki" (VII International Scientific and Practical Conference "Theoretical and applied aspects of modern science"), Abstracts of Papers, Belgorod, 2015, part II, pp. 142–145. (in Russ.)