Titlebook: Numerical Methods for Bifurcation Problems; Proceedings of the C T. Küpper,H. D. Mittelmann,H. Weber Conference proceedings 1984 Springer B

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0373-3149 Overview: 978-3-0348-6257-8978-3-0348-6256-1Series ISSN 0373-3149 Series E-ISSN 2296-6072

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CESS

Organizing Centers for Discrete Reaction Diffusion Models,This paper supplements the two papers [l,2] in this book. Our references are included in the list of references of [1,2]. We will refer to the j-th reference in [l], [2] by [j]., [j]., respectively.

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Leaven

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The Use of Extrapolation for the solution of Bifurcation Problems,The solution of a bifurcation problem is often obtained by replacing the original equation by an extended problem. An asymptotic expansion is derived for the discretization error of the approximate solution of the extended system.

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anagen

Hysteresis in a Model for Parasitic Infection,In the classical epidemic model of Kermack and McKendrick 1927 and also in its various extensions only the prevalence of the disease in the host population is considered. The latter is subdivided into several classes such as susceptibles S, infectious I, and recovered R. The transition S → I → R → S is modeled by ordinary differential equations..

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Steady State and Periodic Solution Paths: their Bifurcations and Computations,In this work we present a brief account of the theory and numerical methods for the analysis and Solution of nonlinear autonomous differential equations of the form

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Numerical Studies of Torus Bifurcations,The normal form equations for the interactions of a Hopf bifurcation and a hysteresis bifurcation of stationary states can give rise to an axisym-metric attracting invariant torus. NonaxiSymmetrie perturbations are found to produce phase locking, period doubling, bistability, and a family of stränge attractors.