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

For citation:

Kazantsev V. B., Nekorkin V. I. Information transport in active electronic fibers. Part II. the fiber as «reaction-diffusion» system. Izvestiya VUZ. Applied Nonlinear Dynamics, 1998, vol. 6, iss. 3, pp. 67-73.

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Language: 
Russian
Heading: 
Autowaves. Self-organization
Article type: 
Article
UDC: 
621.373.1

Information transport in active electronic fibers. Part II. the fiber as «reaction-diffusion» system

Autors: 
Kazantsev Viktor Borisovich, Institute of Applied Physics of the Russian Academy of Sciences
Nekorkin Vladimir Isaakovich, Institute of Applied Physics of the Russian Academy of Sciences
Abstract: 

In this part we consider the active electronic fiber composed of resisiively coupled Chua's circuits as а discrete three-species «reaction-diffusion» systern. The dynamics of instabilities of the travelling pulses and effects of their inferactions and studied. It is shown that the fiber can display both typical for «reaction-diffusion» sysiem and quite new dynamical characteristics.

Key words: 
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Acknowledgments: 
The work was supported by the RFBR (project 97-02-16550), by grant 96-1596593 for the support of leading scientific schools of the Russian Federation and the Soros Graduate Students Program (grant a97-853).
Reference: 
  1. Kazantsev VB, Nekorkin VI. Information transport in active electronic fibers. Part 1. Izvestiya VUZ. Applied Nonlinear Dynamics. 1998;6(3):49-66. (in Russian).
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  3. Vasilyev VA, Romanovskii YuM, Yakhno VG. Autowave Processes. M.: Nauka; 1987. 240 p. (in Russian).
  4. Krinskii VI, Medvedinskii AB, Panfilov AV. Evolution of Autowave Vortices. M.: Znanie; 1986. 48 p. (in Russian).
  5. Keener JР. Propagation and its failure in coupled systems оf discrete excitable cells. SIAM J. Appl. Math. 1987;47(3):556-572. DOI: 10.1137/0147038.
  6. Zhabotinskii АМ. Concentration Self-oscillations. М.: Nauka; 1987. 178 p.
  7. Nekorkin VI, Chua LО. Spatial disorder and wave fronts in а chain оf coupled Chua’s circuits. Int. J. Bifurc. Chaos. 1993;3(5):1281-1291. DOI: 10.1142/S0218127493001021.
Received: 
09.05.1998
Accepted: 
11.08.1998
Published: 
15.01.1999
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