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| Preface | ||
| Introduction | 1 | |
| Color Plates | 4 | |
| 1 | Periodic Points | 5 |
| 1.1 | Iterates of Functions | 5 |
| 1.2 | Fixed Points | 11 |
| 1.3 | Periodic Points | 21 |
| 1.4 | Families of Functions | 29 |
| 1.5 | The Quadratic Family | 41 |
| 1.6 | Bifurcations | 52 |
| 1.7 | Period-3 Points | 62 |
| 1.8 | The Schwarzian Derivative | 70 |
| 2 | One-Dimensional Chaos | 83 |
| 2.1 | Chaos | 83 |
| 2.2 | Transitivity and Strong Chaos | 96 |
| 2.3 | Conjugacy | 103 |
| 2.4 | Cantor Sets | 112 |
| 3 | Two-Dimensional Chaos | 127 |
| 3.1 | Review of Matrices | 127 |
| 3.2 | Dynamics of Linear Functions | 138 |
| 3.3 | Nonlinear Maps | 155 |
| 3.4 | The Henon Map | 167 |
| 3.5 | The Horseshoe Map | 177 |
| 4 | Fractals | 188 |
| 4.1 | Capacity Dimension | 188 |
| 4.2 | Lyapunov Dimension | 199 |
| 4.3 | Julia Sets and the Mandelbrot Set | 205 |
| 4.4 | Iterated Function Systems | 220 |
| 5 | Systems of Differential Equations | 240 |
| 5.1 | Review of Systems of Differential Equations | 240 |
| 5.2 | Almost Linearity | 257 |
| 5.3 | The Pendulum | 267 |
| 5.4 | The Lorenz System | 275 |
| Appendix: Computer Programs | 285 | |
| Program 1: ITERATE | 285 | |
| Program 2: NUMBER OF ITERATES | 286 | |
| Program 3: PLOT | 287 | |
| Program 4: BIFURCATION | 288 | |
| Program 5: HENON | 289 | |
| Program 6: JULIA | 290 | |
| Program 7: MANDELBROT | 291 | |
| Program 8: ITERATED FUNCTION SYSTEM | 292 | |
| Program 9: FERN LEAF | 293 | |
| Program 10: CHAOS GAME | 294 | |
| Answers to Selected Exercises | 295 | |
| References | 302 | |
| Index | 305 |
| Price | Condition | Delivery | Seller | Action |
| $99.99 | Digital |
| WonderClub |
David Bridges
reviewed Encounters with chaos on January 26, 2016
Encounters with chaos
Didn't finish reading this one, but it is good. I will have to request it from ILL again at some point.
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Add Encounters with chaos, This text on the increasingly popular topic of chaos is accessible to a varied undergraduate audience. Gulick is co-author of a successful calculus book and is an excellent expositor. His recent interest in teaching chaotic dynamical systems to undergradu, Encounters with chaos to the inventory that you are selling on WonderClubX
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Add Encounters with chaos, This text on the increasingly popular topic of chaos is accessible to a varied undergraduate audience. Gulick is co-author of a successful calculus book and is an excellent expositor. His recent interest in teaching chaotic dynamical systems to undergradu, Encounters with chaos to your collection on WonderClub |