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

For citation:

Nekorkin V. I., Kazantsev V. B., Velarde M. G. Dynamic copying in multi-layered bistable lattices. Izvestiya VUZ. Applied Nonlinear Dynamics, 1997, vol. 5, iss. 5, pp. 56-68. DOI: 10.18500/0869-6632-1997-5-5-56-68

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
621.373.1
DOI: 
10.18500/0869-6632-1997-5-5-56-68

Dynamic copying in multi-layered bistable lattices

Autors: 
Nekorkin Vladimir Isaakovich, Institute of Applied Physics of the Russian Academy of Sciences
Kazantsev Viktor Borisovich, Institute of Applied Physics of the Russian Academy of Sciences
Velarde Manuel Garcia, Aix-Marseille Universite’
Abstract: 

The dynamics of a number of interacting square lattices (layers) composed of oscillators with a hard mode of excitation is studied. Such an oscillator has the rest state and the excited state which correspond to the stable steady point and stable limit cycle in its phase plane, respectively. The oscillators are comnected in the lattice by means of diffusive coupling. Studying the interaction between the layers we find that for certain conditions the multi layered system processes the phenomenon of dynamic copying (replication) of a given regular image (stimulus). It looks like when this image coded as the amplitude pattern in one of the layers is replicated through interlayer interaction by the amplitudes of the rest layers which have been initially in a spatially disordered state. We provide a qualitative description of this process from the viewpoint of nonlinear dynamics. We also study its stability with respect to possible external weak noise signals.

Key words: 
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Acknowledgments: 
The work was supported by a grant from the Russian Foundation for Basic Research (project 97-02-16550), the Soros Graduate Students program and DGI-CYT (Spain) - grant RV93-81.
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Received: 
30.07.1997
Accepted: 
21.10.1997
Published: 
17.12.1997
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