Solutions to Nonlinear Dynamics and Chaos 3e
by Steven H. Strogatz
51 of 585 listed exercises currently have solution PDFs.
Section 2.1: A Geometric Way of Thinking
Section 2.2: Fixed Points and Stability
Section 2.3: Population Growth
Section 2.4: Linear Stability Analysis
Section 2.5: Existence and Uniqueness
Section 2.6: Impossibility of Oscillations
Section 2.7: Potentials
Section 2.8: Solving Equations on the Computer
Section 3.1: Saddle-Node Bifurcation
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Section 3.2: Transcritical Bifurcation
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Section 3.3: Laser Threshold
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Section 3.4: Pitchfork Bifurcation
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Section 3.5: Overdamped Bead on a Rotating Hoop
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Section 3.6: Imperfect Bifurcations and Catastrophes
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Section 3.7: Insect Outbreak
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Section 4.1: Examples and Definitions
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Section 4.2: Uniform Oscillator
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Section 4.3: Nonuniform Oscillator
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Section 4.4: Overdamped Pendulum
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Section 4.5: Fireflies
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Section 4.6: Superconducting Josephson Junctions
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Section 5.1: Definitions and Examples
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Section 5.2: Classification of Linear Systems
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Section 5.3: Love Affairs
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Section 6.1: Phase Portraits
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Section 6.2: Existence, Uniqueness, and Topological Consequences
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Section 6.3: Fixed Points and Linearization
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Section 6.4: Rabbits versus Sheep
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Section 6.5: Conservative Systems
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Section 6.6: Reversible Systems
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Section 6.7: Pendulum
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Section 6.8: Index Theory
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Section 7.1: Examples
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Section 7.2: Ruling Out Closed Orbits
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Section 7.3: Poincaré-Bendixson Theorem
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Section 7.4: Liénard Systems
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Section 7.5: Relaxation Oscillations
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Section 7.6: Weakly Nonlinear Oscillators
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Section 8.1: Saddle-Node, Transcritical, and Pitchfork Bifurcations
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Section 8.2: Hopf Bifurcations
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Section 8.3: Oscillating Chemical Reactions
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Section 8.4: Global Bifurcations of Cycles
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Section 8.5: Hysteresis in the Driven Pendulum and Josephson Junction
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Section 8.6: Coupled Oscillators and Quasiperiodicity
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Section 9.1: A Chaotic Waterwheel
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Section 9.2: Simple Properties of the Lorenz Equations
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Section 9.3: Chaos on a Strange Attractor
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Section 9.4: Lorenz Map
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Section 9.5: Exploring Parameter Space
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Section 9.6: Using Chaos to Send Secret Messages
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Section 10.1: Fixed Points and Cobwebs
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Section 10.2: Logistic Map: Numerics
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Section 10.3: Logistic Map: Analysis
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Section 10.4: Periodic Windows
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Section 10.5: Lyapunov Exponent
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Section 10.6: Universality and Experiments
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Section 10.7: Renormalization
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Section 11.1: Countable and Uncountable Sets
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Section 11.2: Cantor Set
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Section 11.3: Dimension of Self-Similar Fractals
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Section 11.4: Box Dimension
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Section 11.5: Pointwise and Correlation Dimensions
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Section 12.1: The Simplest Examples
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Section 12.2: Hénon Map
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Section 12.3: Rössler System
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Section 12.4: Chemical Chaos and Attractor Reconstruction
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Section 12.5: Forced Double-Well Oscillator
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