Content:
Edited by
Page iii
Copyright page
Page iv
Preface
Pages ix-xi
Chapter 1: First Examples
Pages 1-13
Chapter 2: Newton's Equation and Kepler's Law
Pages 14-28
Chapter 3: Linear Systems with Constant Coefficients and Real Eigenvalues
Pages 29-61
Chapter 4: Linear Systems with Constant Coefficients and Complex Eigenvalues
Pages 62-73
Chapter 5: Linear Systems and Exponentials of Operators
Pages 74-108
Chapter 6: Linear Systems and Canonical Forms of Operators
Pages 109-143
Chapter 7: Contractions and Generic Properties of Operators
Pages 144-158
Chapter 8: Fundamental Theory
Pages 159-179
Chapter 9: Stability of Equilibria
Pages 180-209
Chapter 10: Differential Equations for Electrical Circuits
Pages 210-238
Chapter 11: The PoincarΓ©-Bendixson Theorem
Pages 239-254
Chapter 12: Ecology
Pages 255-275
Chapter 13: Periodic Attractors
Pages 276-286
Chapter 14: Classical Mechanics
Pages 287-295
Chapter 15: Nonautonomous Equations and Differentiability of Flows
Pages 296-303
Chapter 16: Perturbation Theory and Structural Stability
Pages 304-318
Afterword
Pages 319-321
Appendix I: Elementary Facts
Pages 322-327
Appendix II: Polynomials
Pages 328-330
Appendix III: On Canonical Forms
Pages 331-336
Appendix IV: The Inverse Function Theorem
Pages 337-340
References
Pages 341-342
Answers to Selected Problems
Pages 343-353
Subject Index
Pages 355-359