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Exploring the Theory of Geometric Bifurcation
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| Organization: | University of Colorado, Boulder, CO |
| Department: | Mathematics Department |
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1999 International Mathematica Symposium
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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.
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geometric bifurcation, nonlinear solutions, differential equations
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http://www.internationalmathematicasymposium.org/IMS99/ims99papers/ims99papers.html
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