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2. Introducing Differential Equations
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Chapters in this book
- Frontmatter i
- CONTENTS v
- Preface ix
- 1. Introducing Iterated Functions 1
- 2. Introducing Differential Equations 17
- 3. Interlude: Mathematical Models and the Newtonian Worldview 45
- 4. Chaos I:The Butterfly Effect 62
- 5. Chaos II: Deterministic Randomness 90
- 6. Bifurcations: Sudden Transitions 106
- 7. Universality in Chaos 129
- 8. Higher-Dimensional Systems and Phase Space 170
- 9. Strange Attractors 189
- 10. Conclusion 223
- Bibliography 231
- Index 243
Chapters in this book
- Frontmatter i
- CONTENTS v
- Preface ix
- 1. Introducing Iterated Functions 1
- 2. Introducing Differential Equations 17
- 3. Interlude: Mathematical Models and the Newtonian Worldview 45
- 4. Chaos I:The Butterfly Effect 62
- 5. Chaos II: Deterministic Randomness 90
- 6. Bifurcations: Sudden Transitions 106
- 7. Universality in Chaos 129
- 8. Higher-Dimensional Systems and Phase Space 170
- 9. Strange Attractors 189
- 10. Conclusion 223
- Bibliography 231
- Index 243