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1. Nonlinear dynamics and chaos : with applications to physics, biology, chemistry, and engineering [2015]
 Strogatz, Steven H. (Steven Henry) author.
 Second edition.  Boulder, CO : Westview Press, a member of the Perseus Books Group, [2015]
 Description
 Book — xiii, 513 pages, 4 unnumbered pages of plates : illustrations (some color) ; 23 cm
 Summary

 Preface
 1. Overview 1.0 Chaos, Fractals, and Dynamics 1.1 Capsule History of Dynamics 1.2 The Importance of Being Nonlinear 1.3 A Dynamical View of the World PART I. ONEDIMENSIONAL FLOWS
 2. Flows on the Line 2.0 Introduction 2.1 A Geometric Way of Thinking 2.2 Fixed Points and Stability 2.3 Population Growth 2.4 Linear Stability Analysis 2.5 Existence and Uniqueness 2.6 Impossibility of Oscillations 2.7 Potentials 2.8 Solving Equations on the Computer
 Exercises
 3. Bifurcations 3.0 Introduction 3.1 SaddleNode Bifurcation 3.2 Transcritical Bifurcation 3.3 Laser Threshold 3.4 Pitchfork Bifurcation 3.5 Overdamped Bead on a Rotating Hoop 3.6 Imperfect Bifurcations and Catastrophes 3.7 Insect Outbreak
 Exercises
 4. Flows on the Circle 4.0 Introduction 4.1 Examples and Definitions 4.2 Uniform Oscillator 4.3 Nonuniform Oscillator 4.4 Overdamped Pendulum 4.5 Fireflies 4.6 Superconducting Josephson Junctions
 Exercises PART II. TWODIMENSIONAL FLOWS
 5. Linear Systems 5.0 Introduction 5.1 Definitions and Examples 5.2 Classification of Linear Systems 5.3 Love Affairs
 Exercises
 6. Phase Plane 6.0 Introduction 6.1 Phase Portraits 6.2 Existence, Uniqueness, and Topological Consequences 6.3 Fixed Points and Linearization 6.4 Rabbits versus Sheep 6.5 Conservative Systems 6.6 Reversible Systems 6.7 Pendulum 6.8 Index Theory
 Exercises
 7. Limit Cycles 7.0 Introduction 7.1 Examples 7.2 Ruling Out Closed Orbits 7.3 PoincareBendixson Theorem 7.4 Lienard Systems 7.5 Relaxation Oscillators 7.6 Weakly Nonlinear Oscillators
 Exercises
 8. Bifurcations Revisited 8.0 Introduction 8.1 SaddleNode, Transcritical, and Pitchfork Bifurcations 8.2 Hopf Bifurcations 8.3 Oscillating Chemical Reactions 8.4 Global Bifurcations of Cycles 8.5 Hysteresis in the Driven Pendulum and Josephson Junction 8.6 Coupled Oscillators and Quasiperiodicity 8.7 Poincare Maps
 Exercises PART III. CHAOS
 9. Lorenz Equations 9.0 Introduction 9.1 A Chaotic Waterwheel 9.2 Simple Properties of the Lorenz Equations 9.3 Chaos on a Strange Attractor 9.4 Lorenz Map 9.5 Exploring Parameter Space 9.6 Using Chaos to Send Secret Messages
 Exercises
 10. OneDimensional Maps 10.0 Introduction 10.1 Fixed Points and Cobwebs 10.2 Logistic Map: Numerics 10.3 Logistic Map: Analysis 10.4 Periodic Windows 10.5 Liapunov Exponent 10.6 Universality and Experiments 10.7 Renormalization
 Exercises
 11. Fractals 11.0 Introduction 11.1 Countable and Uncountable Sets 11.2 Cantor Set 11.3 Dimension of SelfSimilar Fractals 11.4 Box Dimension 11.5 Pointwise and Correlation Dimensions
 Exercises
 12. Strange Attractors 12.0 Introductions 12.1 The Simplest Examples 12.2 Henon Map 12.3 Rossler System 12.4 Chemical Chaos and Attractor Reconstruction 12.5 Forced DoubleWell Oscillator
 Exercises Answers to Selected Exercises References Author Index Subject Index.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
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Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

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Q172.5 .C45 S767 2015  Unknown On reserve at Li and Ma Science Library 2hour loan 
PHYSICS11201
 Course
 PHYSICS11201  Mathematical Methods of Physics
 Instructor(s)
 Kachru, Shamit