Dynamics of Defects and Onset of Spatial Chaos in One-Dimensional Systems
It is known that dissipative structures are often spatially disordered. An example is the Rayleigh-Benard convection in the horizontal fluid layer for which the complicated textures, including the domains with twisted rolls separated by domain walls, dislocations, disclinations and other types of defects are typical /1/. In this paper we consider some simple systems governed by the one-dimensional equations which enable to describe analytically the dynamics of the defects and the onset of spatial chaos.
KeywordsVortex Convection Soliton Librium Aniso
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- 1.Cellular structure in instabilities. Lect. Notes in Phys., 210, Springer, Berlin e.a., 1984.Google Scholar
- 8.V.I. Karpman, N.A. Ryabova, V.V. Solov’ev. Fluxon interactions in long Josephson junctions. Zhurnal Eksperimentalnyi i Teoreticheskoy Fiziki, 1981, v.81, pt.4(10), 1327–1336 (in Russian).Google Scholar
- 10.L.P. Vozovoi, A.A. Nepomnyashchy. Convection in the horizontal fluid layer by the spatial modulation of the bound temperature. In: Fluid Dynamics, No.7, Perm, 1974, 105–118 (in Russian).Google Scholar
- 12.Yu.G. Vasilenko, E.A. Kuznetsov, V.S. L’vov e.a. On the onset of Taylor vortices in Couette flow. Zhurnal Prikladnoy Mekhaniki i Tekhnicheskoy Fiziki, 1980, No.2, 58–64 (in Russian).Google Scholar
- 14.A.A. Nepomnyashchy. On the secondary convective motions in flat vertical layer. Izv. Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, 1975, No.4, 3–11 (in Russian).Google Scholar