... approach of Hadamard with the an- Analysis and Simulation of Chaotic Systems, Second EditionFrank C. Hoppensteadt Springerxx Introductionalytical methods of Perron to construct stable and unstable ... algebraic and topological methods are de-scribed, followed by a study of implicit function theorems and modifications and generalizations of them. These are applied to several bifurcation prob-lems. ... results. Analysis and computer simulations of mathematical models are im-portant parts of understanding physical and biological phenomena. Theknowledge created in modeling, analysis, simulation, and...