Bifurcation Theory & Its Numerical Analysis

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Zhangxin Chen, Shui-Nee Chow, Kaitai Li
Springer, Jan 1, 1999 - Mathematics - 227 pages
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Bifurcation theory consists of two distinct aspects - static and dynamic. Static bifurcation theory deals with the changes that occur in the structure of the set of zeros of a function as parameters in the function are varied, while the dynamic one is concerned with the changes that occur in the structure of the limit sets of solutions of differential equations as parameters in the vector field are varied. Its extensive research and numerical analyses have been conducted in the past years. This book contains eighteen refereed papers presented at the conference, held in Xi'an, China, June 29 - July 3, 1998. The papers cover recent development of a wide range of theoretical and numerical issues of bifurcation theory. They also involve its applications to such important areas as fluid flows, elasticity, elastic-plastic solids, neuron transport, robotics, activator-inhibitor modeling, and biology.

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Some Problems in Mathematical Modeling and Simulation
Numerical Experiments for a Finite Element Approximation

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