Sample: Student Solutions Manual for Nonlinear Dynamics and Chaos, Second Edition

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Sampled below are pages from the Student Solutions Manual for Nonlinear Dynamics and Chaos, Second Edition, by Mitchal Dichter.

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This content is copyright © 2017 by Steven H. Strogatz and Westview Press.

Table of Contents

CONTENTS
2: Flows on the Line
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

3: Bifurcations
3.1 Saddle-Node 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

4: Flows on the Circle
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

5: Linear Systems
5.1 Definitions and Examples
5.2 Classification of Linear Systems
5.3 Love Affairs

6: Phase Plane
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

7: Limit Cycles
7.1 Examples
7.2 Ruling Out Closed Orbits
7.3 Poincar´e-Bendixson Theorem
7.4 Li´enard Systems
7.5 Relaxation Oscillations
7.6 Weakly Nonlinear Oscillators

8: Bifurcations Revisited
8.1 Saddle-Node, 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 Poincar´e Maps

9: Lorenz Equations
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

10: One-Dimensional Maps
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

11: Fractals
11.1 Countable and Uncountable Sets
11.2 Cantor Set
11.3 Dimension of Self-Similar Fractals
11.4 Box Dimension
11.5 Pointwise and Correlation Dimensions

12: Strange Attractors
12.1 The Simplest Examples
12.2 H´enon Map
12.3 R¨ossler System
12.4 Chemical Chaos and Attractor Reconstruction
12.5 Forced Double-Well Oscillator

We hope you have enjoyed this sample of:

Student Solutions Manual for Nonlinear Dynamics and Chaos, Second Edition

by Mitchal Dichter

Copyright © 2017 by Steven H. Strogatz and Westview Press.

Click here for more information

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