This article is cited in 3 papers

Model of a spatially inhomogeneous one-dimensional active medium

K. A. Vasil'ev^a, A. Yu. Loskutov^b, S. D. Rybalko^a, D. N. Udin<sup>a

a</sup> M. V. Lomonosov Moscow State University
^b M. V. Lomonosov Moscow State University, Faculty of Physics

Abstract: We investigate the dynamics of one-dimensional discrete models of a one-component active medium analytically. The models represent spatially inhomogeneous diffusively concatenated systems of one-dimensional piecewise-continuous maps. The discontinuities (the defects) are interpreted as the differences in the parameters of the maps constituting the model. Two classes of defects are considered: spatially periodic defects and localized defects. The area of regular dynamics in the space of the parameters is estimated analytically. For the model with a periodic inhomogeneity, an exact analytic partition into domains with regular and with chaotic types of behavior is found. Numerical results are obtained for the model with a single defect. The possibility of the occurrence of each behavior type for the system as a whole is investigated.

Received: 20.09.1999
Revised: 13.04.2000

DOI: 10.4213/tmf654

 English version: Theoretical and Mathematical Physics, 2000, 124:3, 1286–1297

Bibliographic databases:

• 
• 
•