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Introduction
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Preface
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Problems
String
Introduction
Experimental Apparatus
Single-Mode Model
Planar Vibrations: Duffing Equation
Equilibrium States
Unforced Phase Plane
Conservative Case
Dissipative Case
Extended Phase Space
Global Cross Section
Resonance and Hysteresis
Linear Resonance
Nonlinear Resonance
Response Curve
Hysteresis
Basins of Attraction
Homoclinic Tangles
Nonplanar Motions
Free Whirling
Response Curve
Torus Attractor
Circle Map
Torus Doubling
Experimental Techniques
Experimental Cross Section
Planar Cross Section
Triggering Circuit
Nonplanar Cross Section
Embedding
Power Spectrum
Fourier Series
Finite Fourier Series
Power Spectrum
Spectral Signatures
Attractor Identification
Correlation Dimension
Nicholas B. Tufillaro
Mon Mar 3 01:58:02 PST 1997