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'Dissipative Structures' in keywords
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1990 (1)
1985 (1)
1984 (1)
1Author    Igor Schreiber, Milan Kubíček, M. Iloš MarekRequires cookie*
 Title    Impaired Diffusion Coupling-Source of Arrhythmia in Cell Systems  
 Abstract    A detailed analytical and numerical analysis of a simple reaction-diffusion model of the source of non-homogeneities and arrhythmias in an originally homogeneous reaction system is pre­ sented. Solution, bifurcation and evolution diagrams are used to describe the behaviour of the model. It is shown that under certain conditions steady and/or oscillatory nonhomogeneous states are the only stable solutions of the model. These phenomena are essentially not dependent on a particular reaction kinetics. A possible relevance to some biological situations is discussed. 
  Reference    Z. Naturforsch. 39c, 1170—1179 (1984); received December 3 1982/May 16 1984 
  Published    1984 
  Keywords    Reaction-Diffusion Systems, Dissipative Structures, Oscillations, Synchronization, Arrhythmias 
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 TEI-XML for    default:Reihe_C/39/ZNC-1984-39c-1170.pdf 
 Identifier    ZNC-1984-39c-1170 
 Volume    39 
2Author    Ariel Fernández, Oktay SinanogluRequires cookie*
 Title    A Reactive System with Diffusive Transport Displaying Two Different Symmetry-Breaking Dissipative Structures  
 Abstract    An open reactive system is modelled by coupling the chemical kinetics to diffuse transport. This system operates far from the regime of linear irreversible thermodynamics. The kinetics correspond to a certain region in the parameter space of the Oregonator for which two symmetry-breakdowns occur: a) A periodic orbit contained in an unstable manifold of the phase space. This solution is invariant under time-translations generated by a period. b) A spatial stationary dissipative structure. This solution is invariant under a subgroup of the space symmetry group. The initial time periodicity of the system is followed by a spatial pattern. The restriction to the center manifold in the phase space allows to reduce an infinite-dimensional problem for the bifurcation of a semiflow to a finite dimensional system of ordinary differential equations. The ranges in the control concentrations for this dynamics is found in accord with the experimental values. We also demonstrate that if the vessel is stirred after the Turing pattern has emerged, the freezed wave is destroyed and the time-periodic behavior is achieved again. 
  Reference    Z. Naturforsch. 40a, 611—618 (1985); received October 15 1984 
  Published    1985 
  Keywords    Bifurcation under a symmetry group, Center Manifold Theorem, Dissipative structure 
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 TEI-XML for    default:Reihe_A/40/ZNA-1985-40a-0611.pdf 
 Identifier    ZNA-1985-40a-0611 
 Volume    40 
3Author    Roland Zander, Michael Dittmann, GerhardM. SchneiderRequires cookie*
 Title    Dissipative Structures in Demixing Binary Liquid Systems  
 Abstract    The demixing of a horizontal fluid layer of far-critical composition in the presence of a vertical temperature gradient can cause the formation of dissipative structures and thereby lead to a regular distribution of the precipitate. The occurrence of these convective structures is explained with the model of a Rayleigh-Benard instability (RBI) which is driven by parallel gradients of temperature and concentration. The distribution of the precipitate is a synergetic effect of the macroscopic convective pattern and the local action of the Marangoni flow at the surfaces of the drops. If boundary conditions prohibit an RBI, the distribution of the precipitate also becomes inhomo-geneous in course of time; however, in this case no regular pattern is observable and the inhomo-geneities develop mainly due to the Marangoni convection near the surfaces of the larger drops that have settled at the boundary of the sample volume. 
  Reference    Z. Naturforsch. 45a, 1309—1316 (1990); received July 28 1990 
  Published    1990 
  Keywords    Fluid phase decomposition, Dissipative structures, Precipitate organization, Rayleigh-Benard instability, Marangoni instability 
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 TEI-XML for    default:Reihe_A/45/ZNA-1990-45a-1309.pdf 
 Identifier    ZNA-1990-45a-1309 
 Volume    45