Skip to main content
Log in

Attractors of dynamical systems with control: topology of purposeful formation

  • Brief Communications
  • Published:
Ukrainian Mathematical Journal Aims and scope

Abstract

The definitions of homogeneous and mosaic attractors of codimension one are given. A topological method for their purposeful formation by using the feedback control laws of controlled dynamical systems is suggested.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. S. Matsumoto and A. Sato, “Perturbation of the Hopf flow and transverse foliations,”Nagoya Math. J.,122, 75–82 (1991).

    Google Scholar 

  2. R. V. Plykin, “On the geometry of hyperbolic attractors of smooth cascades,”Usp. Mat. Nauk,39, No. 4, 75–113 (1984).

    Google Scholar 

  3. M. K. Sparavalo, “Method for the purposeful formation of the local topological structures of one-codimensional foliations for dynamical systems with control,”Avtomatika, No. 5, 70–76 (1992).

    Google Scholar 

  4. M. K. Sparavalo, “Stratification of diffeomorphisms with lattices on 0-levels and their application in the theory of dynamical systems,”Mekh. Giroskop. System,10, 103–105 (1991).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Published in Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 1, pp. 129–132, January, 1995.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sparavalo, M.K. Attractors of dynamical systems with control: topology of purposeful formation. Ukr Math J 47, 152–156 (1995). https://doi.org/10.1007/BF01058808

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01058808

Keywords

Navigation