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Nonlinear Dynamics and Chaos by Steven H. Strogatz is a book available to read on EtoBox.

What is Nonlinear Dynamics and Chaos about?

Contents 6 Preface 10 1 OVERVIEW 14 1.0 Chaos, Fractals, and Dynamics 14 1.1 Capsule History of Dynamics 15 1.2 The Importance of Being Nonlinear 17 1.3 A Dynamical View of the World 22 Part 1 ONE-DIMENSIONAL FLOWS 26 2 FLOWS ON THE LINE 28 2.0 Introduction 28 2.1 A Geometric Way of Thinking 29 2.2 Fixed Points and Stability 31 2.3 Population Growth 34 2.4 Linear Stability Analysis 37 2.5 Existence and Uniqueness 39 2.6 Impossibility of Oscillations 41 2.7 Potentials 43 2.8 Solving Equations on the Computer 45 Exercises 49 3 BIFURCATIONS 57 3.0 Introduction 57 3.1 Saddle-Node Bifurcation 58 3.2 Transcritical Bifurcation 63 3.3 Laser Threshold 66 3.4 Pitchfork Bifurcation 68 3.5 Overdamped Bead on a Rotating Hoop 74 3.6 Imperfect Bifurcations and Catastrophes 82 3.7 Insect Outbreak 86 Exercises 92 4 FLOWS ON THE CIRCLE 106 4.0 Introduction 106 4.1 Examples and Definitions 106 4.2 Uniform Oscillator 108 4.3 Nonuniform Oscillator 109 4.4 Overdamped Pendulum 114 4.5 Fireflies 116 4.6 Superconducting Josephson Junctions 119 Exercises 126 Part Two TWO-DIMENSIONAL FLOWS 134 5 LINEAR SYSTEMS 136 5.0 Introduction 136 5.1 Defnition and Examples 136

Author

Steven H. Strogatz

Published

2011

Language

EN