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Nonlinear Physics with Mathematica for Scientists and Engineers
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Part I: THEORY
Introduction | Nonlinear Systems, Part I | Nonlinear Systems, Part II | Topological Analysis | Analytic Methods | The Numerical Approach | Limit Cycles | Forced Oscillators | Nonlinear Maps | Nonlinear PDE Phenomena | Numerical Simulation | Inverse Scattering Method
Part II: EXPERIMENTAL ACTIVITIES
Introduction to Nonlinear Experiments | Magnetic Force | Magnetic Tower | Spin Toy Pendulum | Driven Eardrum | Nonlinear Damping | Anharmonic Potential | Iron Core Inductor | Nonlinear LRC Circuit | Tunnel Diode Negative Resistance Curve | Tunnel Diode Self-Excited Oscillator | Forced Duffing Equation | Focal Point Instability | Compound Pendulum | Damped Simple Pendulum | Stable Limit Cycle | Van der Pol Limit Cycle | Relaxation Oscillations: Neon Bulb | Relaxation Oscillations: Drinking Bird | Relaxation Oscillations: Tunnel Diode | Hard Spring | Nonlinear Resonance Curve: Mechanical | Nonlinear Resonance Curve: Electrical | Nonlinear Resonance Curve: Magnetic | Subharmonic Response: Period Doubling | Diode: Period Doubling | Five-Well Magnetic Potential | Power Spectrum | Entrainment and Quasiperiodicity | Quasiperiodicity | Chua's Butterfly | Route to Chaos | Driven Spin Toy | Mapping | Bibliography | Index
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This text is aimed at a wide audience, undergraduate and graduate students as well as working scientists. The experimental activities included are designed to deepen and broaden the reader's understanding of nonlinear physics. The Mathematica computer algebra system is used extensively, although no prior knowledge of Mathematica or programming is assumed. The CD-ROM included contains a wide variety of illustrative nonlinear examples solved with Mathematica. There are also 130 annotated Mathematica files that may be used to solve and explore the text's 400 problems.
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