Preface |
First Examples |
Newton's Equation and Kepler's Law |
Linear Systems with Constant Coeffecients and Real Eigenvalues |
Linear Systems with Constant Coefficients and Complex Eigenvalues |
Linear Systems and Exponentials of Operators |
Linear Systems and Canonical Forms of Operators |
Contractions and Generic Properties of Operators |
Fundamental Theory |
Stability of Equilibria |
Differential Equations for Electrical Circuits |
The Poincare-Bendixson Theorem |
Ecology |
Periodic Attractors |
Classical Mechanics |
Nonautonomous Equations and Differentiability of Flows |
Perturbation Theory and Structural Stability |
Elementary Facts |
Polynomials |
On Canonical Forms |
The Inverse Function Theorem |
References |
Answers to Selected Problems |
Index |
Preface |
First Examples |
Newton's Equation and Kepler's Law |