Mathematica 9 is now available

Wolfram Library Archive


Courseware Demos MathSource Technical Notes
All Collections Articles Books Conference Proceedings
Title

Exploring the Theory of Geometric Bifurcation
Author

Jay H. Wolkowisky
Organization: University of Colorado, Boulder, CO
Department: Mathematics Department
Conference

1999 International Mathematica Symposium
Description

This paper will deal with the Theory of Geometric Bifurcation which the author developed in 1986. The theory developed in those papers is very general and abstract. So, until a symbolic software program such as Mathemat­ica came along, it was very difficult to examine concrete examples which would illustrate and explain the theory. In this paper we will look at examples of bifurcating branches of solutions of nonlinear: algebraic equations, ordinary differential equations, and partial differential equations.
Subjects

*Mathematics > Algebra
*Mathematics > Calculus and Analysis > Differential Equations
Keywords

geometric bifurcation, nonlinear solutions, differential equations
URL

http://www.internationalmathematicasymposium.org/IMS99/ims99papers/ims99papers.html