Jay H. Wolkowisky
Department of Mathematics
University of Colorado
Boulder, Colorado 80309, USA
wolkowis@euclid.colorado.edu
Abstract
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.