Titlebook: Bifurcation: Analysis, Algorithms, Applications; Proceedings of the C T. Küpper,R. Seydel,H. Troger Conference proceedings 1987 Birkhäuser

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Wave Patterns in Coupled Stationary Bifurcations with 0(2)-Symmetry, paper it was shown that the normal forms underlying these interactions are capable of producing primary and secondary bifurcations to single mode and mixed mode steady states, respectively, and tertiary bifurcations to travelling waves. By using averaging methods, it is shown here that also tertiar

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Determination of Bifurcation Points and Catastrophes for the Brusselator Model with Two Parameters,of 1950 when Turing was investigating whether the behaviour of biological systems, in casu an embryological system, could be translated into a mathematical model. He detected that chemical reaction in combination with diffusion, ensuring the transport, are principal mechanisms to explain for example

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Critical Points of Mixed Fluids and their Numerical Treatment,s. The number of coexisting . e.g. liquid, vapour and aqua, depends on the composition of the fluid as well as the temperature and pressure. As these external conditions change, a given mixed fluid may reach a transition state where a new phase emerges or an old one disappears. Most of these so call

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Bifurcation Theory in Physics: Recent Trends and Problems, of representative examples, that, at the macroscopic and microscopic levels, the topological singularities and bifurcation processes deriving from the principle of structural stability determine the dominating phenomena and features observed in both structure formation and structure recognition. Be

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Continuation of Periodic Solutions in Parabolic Partial Differential Equations,s for study of parametric dependences of time independent (steady-state) solutions in PDE were also described, see e.g. [4]. However, no numerical algorithm for construction of a continuous dependence of periodic solutions of a system of PDEs of parabolic type on a parameter has appeared in literatu

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