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Constructing invariants for visualization of vector fields defined by integral curves of dynamic systems

  • Automatic Control Systems in Scientific Research and Industry
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Optoelectronics, Instrumentation and Data Processing Aims and scope

Abstract

An algorithm for obtaining invariants under a group of special affine transformations for vector fields defined by integral curves of dynamic systems. The algorithm for constructing topological invariants of vector fields is extended to the case where the elements of the special affine group differ at different points of an integral curve.

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Authors and Affiliations

  1. Omsk Department of Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, ul. Pevtsova 13, Omsk, 644099, Russia

    S. N. Chukanov

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  1. S. N. Chukanov
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Correspondence to S. N. Chukanov.

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Original Russian Text © S.N. Chukanov, 2011, published in Avtometriya, 2011, Vol. 47, No. 2, pp. 58–63.

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Chukanov, S.N. Constructing invariants for visualization of vector fields defined by integral curves of dynamic systems. Optoelectron.Instrument.Proc. 47, 151–155 (2011). https://doi.org/10.3103/S8756699011020063

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  • DOI: https://doi.org/10.3103/S8756699011020063

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