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Titlebook: Numerical Methods for Bifurcation Problems and Large-Scale Dynamical Systems; Eusebius Doedel,Laurette S. Tuckerman Conference proceedings

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Global Parametrization and Computation of Resonance Surfaces for Periodically Forced Oscillators,al equations can be reduced via stroboscopic sampling to a two-parameter family of diffeomorphisms of the plane. A bifurcation analysis of this family almost always includes a study of the birth and death of periodic orbits. For low forcing amplitudes, this leads to a now-classic picture of Arnold r
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Computing Invariant Tori and Circles in Dynamical Systems,e discretization of the graph transform. To circumvent two problems of the standard approach (which requires solving ordinary BVPs) we modify the discretized graph transform. This results in faster and more robust methods.
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Numerical Bifurcation Techniques for Chemical Reactor Problems,ls is that the number of dimensionless parameters that appear is usually large, typically 4 to 15 for a single reaction. Hence, a comprehensive numerical study of the behavior of a given model is impractical without some theoretical guidance.
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Formation and Instabilities of Coherent Structures in Channel Flows,found in turbulent channel flow. We also report a new type of linear mode for the case of plane Couette flow, which is a periodic but non-sinusoidal function of time. We conclude with an interpretation of our observations in terms of phase space dynamics.
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Quasiperiodic Response to Parametric Excitations, apply this technique to a periodically forced system susceptible to centrifugal instabilities and identify the conditions under which the system resonates, leading to resonance horns emerging from the Hopf bifurcation curves, and also identify locations of high codimension degenerate bifurcations r
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V. Balakotaiah,J. Khinastchange (labor values) and as potential tools for understanding the dynamics of market prices and of income distribution around their centers of gravity (production prices and the wage-pro?t curve).978-3-642-42632-2978-3-642-00324-0
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K. Böhmer,Z. Mei,A. Schwarzer,R. Sebastianchange (labor values) and as potential tools for understanding the dynamics of market prices and of income distribution around their centers of gravity (production prices and the wage-pro?t curve).978-3-642-42632-2978-3-642-00324-0
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