Preface x
CHAPTER 1 First-Order Equations 1
1.1 The Simplest Example
1.2 The Logistic Population Model
1.3 Constant Harvesting and Bifurcations
1.4 Periodic Harvesting and Periodic Solutions
1.5 Computing the Poincare Map
1.6 Exploration:A Two-Parmeter Family
CHAPTER 2 Planar Linear Systems
CHAPTER 3 Phase Portraits for Planar Systems
CHAPTER 4 Classification of Planar Systems
CHAPTER 5 Higher Dimensional Linear Algebra
CHAPTER 6 Higher Dimensional Linear Systems
CHAPTER 7 Nonlinear Systems
CHAPTER 8 Equilibria in Nonlinear Systems
CHAPTER 9 Global Nonlinear Techniques
CHAPTER 10 Closed Orbits and Limit Sets
CHAPTER 11 Applications in Biology
CHAPTER 12 Applications in Circuit Theory
CHAPTER 13 Applications in Mechanics
CHAPTER 14 The Lorenaz System
CHAPTER 15 Discrete Dynamical Systems
CHAPTER 16 Homoclinic Phenomena
CHAPTER 17 Existence and Uniqueness Revisited
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Bibliography
Index