The year 1986 marked the sesquicentennial of the publication in 1836 of J. Sturm's classic memoir on boundary value problems for second order equations. In July 1986, the Canadian Mathematical Society sponsored the International Conference on Oscillation, Bifurcation, and Chaos, held at the University of Toronto. This volume contains the proceedings of this conference. Requiring a basic knowledge of the qualitative theory of differential equations, this book is aimed at mathematicians and students working in any area of differential equations, as well as researchers interested in applying recent results in oscillation and bifurcation theory to other disciplines. Readers will gain a broad perspective on current research in this area from both the Sturmian and dynamical systems points of view, as well as an understanding of new results useful for application and of directions for future research.