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Encounters with Chaos and Fractals, Second Edition

Author
Gulick, Denny
Published
Hoboken : CRC Press, 2012.
Edition
2nd ed.
Physical Description
1 online resource (384 pages)
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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(s)
ISBN
9781466558755
146655875X
View MARC record | catkey: 37437372