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| Introduction | |
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| Pendulums somewhat simple | |
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| The beginning | |
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| The simple pendulum | |
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| Some analogs of the linearized pendulum | |
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| The spring | |
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| Resonant electrical circuit | |
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| The pendulum and the earth | |
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| The military pendulum | |
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| Compound pendulum | |
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| Kater's pendulum | |
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| Some connections | |
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| Exercises | |
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| Pendulums less simple | |
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| O Botafumeiro | |
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| The linearized pendulum with complications | |
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| Energy loss-friction | |
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| Energy gain-forcing | |
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| Parametric forcing | |
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| The nonlinearized pendulum | |
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| Amplitude dependent period | |
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| Phase space revisited | |
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| An electronic "Pendulum" | |
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| Parametric forcing revisited | |
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| A pendulum of horror | |
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| Exercises | |
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| The Foucault pendulum | |
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| What is a Foucault pendulum? | |
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| Frames of reference | |
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| Public physics | |
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| A quantitative approach | |
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| Starting the pendulum | |
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| A darker side | |
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| Toward a better Foucault pendulum | |
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| A final note | |
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| Exercises | |
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| The torsion pendulum | |
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| Elasticity of the fiber | |
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| Statics and dynamics | |
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| Free oscillations without external forces | |
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| Free oscillations with external forces | |
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| Damping | |
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| Two historical achievements | |
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| Coulomb and the electrostatic force | |
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| Cavendish and the gravitational force | |
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| Scaling the apparatus | |
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| Modern applications | |
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| Ballistic galvanometer | |
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| Universal gravitational constant | |
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| Universality of free fall: Equivalence of gravitational and inertial mass | |
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| Viscosity measurements and granular media | |
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| Exercises | |
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| The chaotic pendulum | |
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| Introduction and history | |
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| The dimensionless equation of motion | |
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| Geometric representations | |
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| Time series, phase portraits, and Poincare sections | |
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| Spectral analysis | |
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| Bifurcation diagrams | |
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| Characterization of chaos | |
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| Fractals | |
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| Lyapunov exponents | |
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| Dynamics, Lyapunov exponents, and fractal dimension | |
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| Information and prediction | |
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| Inverting chaos | |
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| Exercises | |
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| Coupled pendulums | |
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| Introduction | |
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| Chaotic coupled pendulums | |
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| Two-state model (all or nothing) | |
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| Other models | |
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| Applications | |
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| Synchronization machine | |
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| Secure communication | |
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| Control of the chaotic pendulum | |
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| A final weirdness | |
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| Exercises | |
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| The quantum pendulum | |
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| A little knowledge might be better than none | |
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| The linearized quantum pendulum | |
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| Where is the pendulum?-uncertainty | |
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| The nonlinear quantum pendulum | |
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| Mathieu equation | |
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| Microscopic pendulums | |
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| Ethane-almost free | |
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| Potassium hexachloroplatinate-almost never free | |
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| The macroscopic quantum pendulum and phase space | |
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| Exercises | |
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| Superconductivity and the pendulum | |
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| Superconductivity | |
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| The flux quantum | |
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| Tunneling | |
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| The Josephson effect | |
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| Josephson junctions and pendulums | |
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| Single junction: RSJC model | |
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| Single junction in a superconducting loop | |
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| Two junctions in a superconducting loop | |
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| Coupled josephson junctions | |
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| Remarks | |
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| Exercises | |
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| The pendulum clock | |
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| Clocks before the pendulum | |
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| Development of the pendulum clock | |
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| Galileo (1564-1642) | |
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| Huygens (1629-1695) | |
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| The seconds pendulum and the meter: An historical note | |
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| Escapements | |
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| Temperature compensation | |
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| The most accurate pendulum clock ever made | |
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| Reflections | |
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| Exercises | |
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| Pendulum Q | |
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| Free pendulum | |
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| Resonance | |
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| Some numbers from the real world | |
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| The inverted pendulum | |
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| The double pendulum | |
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| The cradle pendulum | |
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| The Longnow clock | |
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| The Blackburn pendulum | |
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| Bibliography | |
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| Index | |