Titlebook: Continuation and Bifurcations: Numerical Techniques and Applications; Dirk Roose,Bart De Dier,Alastair Spence Book 1990 Kluwer Academic Pu

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Bifurcations, Chaos and Self-Organization in Reaction-Diffusion Systems,ted chaotic time evolution observed in these systems. A chemical kinetic example of diffusion-induced spatio-temporal chaos is presented. Finally, we discuss the conditions for pattern formation via spatial symmetry breaking in uniform and non-uniform environments.

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Introduction to the Numerical Solution of Symmetry- Breaking Bifurcation Problems,the linearisation of the nonlinear operator and this is employed in the efficient detection and computation of bifurcation points. The theory is illustrated throughout with an example and numerical results are presented.

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Interactive System for Studies in Nonlinear Dynamics,tion of computed results can often be quite complicated. Here we discribe our attempt to test the idea whether a unification of available numerical algorithms with the means and approaches of logical programming and knowledge engineering could help to increase productivity of the analysis of a nonlinear dynamical system.

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Global Bifurcations and their Numerical Computation,e basic nondegeneracy condition is characterized by a geometric transversality condition. Further, the analysis of the error obtained by truncating to a finite interval is generalized in order to include periodic boundary conditions and to explain the superconvergence phenomenon with respect to the parameter as observed in [1].

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