Description |
1 online resource (384 pages) |
Contents |
Front Cover; Dedication; Contents; Preface; Introduction; 1. Periodic Points; 2. One-Dimensional Chaos; 3. Two-Dimensional Chaos; 4. Systems of Differential Equations; 5. Introduction to Fractals; 6. Creating Fractals Sets; 7. Complex Fractals: Julia Sets and the Mandelbrot Set; Appendix: Computer Programs; Answers to Selected Exercises; References. |
Summary |
Periodic Points Iterates of Functions Fixed Points Periodic Points Families of Functions The Quadratic Family Bifurcations Period-3 Points The Schwarzian Derivative One-Dimensional Chaos Chaos Transitivity and Strong Chaos Conjugacy Cantor Sets Two-Dimensional Chaos Review of Matrices Dynamics of Linear FunctionsNonlinear Maps The Hénon Map The Horseshoe Map Systems of Differential Equations Review of Systems of Differential Equations Almost Linearity The Pendulum The Lorenz System Introduction to Fractals Self-Similarity The Sierpiński Gasket and Other ""Monsters""Space-Filling Curves Similar. |
Subject |
Chaotic behavior in systems.
|
|
Fractals.
|
|
Chaos. |
|
Fractales. |
|
fractals. |
|
Chaotic behavior in systems |
|
Fractals |
Other Form: |
Print version: Gulick, Denny. Encounters with Chaos and Fractals, Second Edition. Hoboken : CRC Press, ©2012 9781584885177 |
ISBN |
9781466558755 |
|
146655875X |
|