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

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Nirmalya Ghosh,Stephen Ashwal,Andre Obenausof the flow of the PDE to the inertial manifold is given by a finite set of ODEs called an inertial form, which captures all the long time dynamic behavior of the PDE. We give a brief survey of several numerical schemes to approximate inertial manifolds and hence inertial forms. We then implement th
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Andreas Minwegen,Dominik Auras,Gerd Ascheidions, with the Sel’kov model as a specific example. Apart from the usual linear analysis, other useful analytical tools are scaling laws and singularity theory. On the numerical side we discuss the use of spectral collocation methods.
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Andreas Minwegen,Dominik Auras,Gerd Ascheidight of recent advances in nonlinear mathematics. Chaos and mixed-mode oscillations in far- from-equilibrium chemical reactions are first described. We show how homoclinic tangencies of Sil’nikov type and associated to a cycle can help us in elucidating the complex bifurcation sequences and the rela
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Ahmed Al-Taie,Horst K. Hahn,Lars Linsentry properties of a nonlinear equation are described by an equivariance property on which all the theory is based. Fixed point spaces are described since they are invariant under the nonlinear operator. The isotypic decomposition is carefully developed as the isotypic components are invariant under
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