ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

For citation:

Andreyev Y. V. Attractors and bifurcation phenomena in 1-D dynamic systems with stored information. Izvestiya VUZ. Applied Nonlinear Dynamics, 1995, vol. 3, iss. 5, pp. 3-15.

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Full text PDF(Ru):
PDF icon 1995no5p003.pdf
(downloads: 0)
Language: 
Russian
Heading: 
Bifurcations in Dynamical Systems
Article type: 
Article
UDC: 
621.391+531.01+517.9

Attractors and bifurcation phenomena in 1-D dynamic systems with stored information

Autors: 
Andreyev Yury Vladimirovich, Moscow Institute of Physics and Technology
Abstract: 

Bifurcation phenomena taking place in the maps with stored information arestudied as a function of the slope of information districts of the maps, thus allowing to distinguish the following dynamic structures existing in such systems: stable or unstable limit cycles, chaotic attractors of the kind of cycles of intervals. A possibility of storing information using chaotic attractors is analyzed, chaotic scanning of memory with the use of intermittency is discussed.

Key words: 
-
Acknowledgments: 
The work was carried out with financial support from the Russian Foundation for Basic Research (Grant 93-012-730).
Reference: 
  1. Dmitriev АS. Recording and recovery of information in one-dimensional dynamic systems. Sov. J. Commun. Tech. Electron. 1991;36(1):101-108. (in Russian).
  2. Dmitriev AS, Panas AI, Starkov SO. Storing and recognizing information based on stable cycles of one-dimensional maps. Phys. Lett. A. 1991;155(8-9):494-499. DOI: 10.1016/0375-9601(91)90652-O.
  3. Andreyev YuV, Belsky YuL, Dmitriev AS. Information processing in nonlinear systems with dynamic chaos. In: Proc. Int. Seminar Nonlinear Circuits and Systems. Moscow; 1992. Vol. 1. Р. 51.
  4. Dmitriev AS. Chaos and information processing in non-linear dynamic systems. J. Commun. Tech. Electron. 1993;38(1):1.
  5. Andreyev YuV, Dmitriev AS, Chua LO, Wu CW. Associative and random асcess memory using one-dimensional maps. Int. J. Bif. Chaos. 1992;2(3):483-504. DOI: 10.1142/S0218127492000665.
  6. Andreev YuV, Dmitriev AS. Recording and restoring images in one-dimensional dynamic systems. J. Commun. Tech. Electron. 1994;39(1):104.
  7. Maistrenko VL, Maistrenko YuL, Sushko IМ. Attractors of piecewise linear mappings of the line and plane. Preprint Institute of Mathematics of Ukraine. Kiev; 1992.
  8. Maistrenko VL, Maistrenko YuL, Sushko IМ. Bifurcation phenomena in generators with delay lines. J. Commun. Tech. Electron. 1994;39(8-9):1367-1380.
  9. Grebogi C, Оtt E, Yorke JA. Critical exponent of chaotic transients in nonlinear dynamic systems. Phys. Rev. Lett. 1986;57(11):1284-1287. DOI: 10.1103/PhysRevLett.57.1284.
Received: 
20.02.1995
Accepted: 
22.09.1995
Published: 
20.09.1996
  • 165 reads