Nonlinear physics with mathematica for scientists and engineers/ Enns,Richard H.

Preface * Part I: THEORY * 1. Introduction * 2. Nonlinear Systems, Part I * 3. Nonlinear Systems, Part II * 4. Topological Analysis * 5. Analytic Methods * 6. The Numerical Approach * 7. Limit Cycles * 8. Forced Oscillators * 9. Nonlinear Maps * 10. Nonlinear PDE Phenomena * 11. Numerical Simulation * 12. Inverse Scattering Method * Part II: EXPERIMENTAL ACTIVITIES * Introduction to Nonlinear Experiments 1. Magnetic Force * 2. Magnetic Tower * 3. Spin Toy Pendulum * 4. Driven Eardrum * 5. Nonlinear Damping * 6. Anaharmonic Potential * 7. Iron Core Conductor * 8. Nonlinear LRC Circuit * 9. Tunnel Diode Negative Resistance Curve * 10. Tunnel Diode Self-Excited Oscillator * 11. Forced Duffing Equation * 12. Focal Point Instability * 13. Compound Pendulum * 14. Damped Simple Pendulum * 15. Stable Limit Cycle * 16. Van der Pol Limit Cycle * 17. Relaxation Oscillations: Neon Bulb * 18. Relaxation Oscillations: Drinking Bird * 19. Relaxation Oscillations: Tunnel Diode * 20. Hard Spring * 21. Nonlinear Resonance Curve: Mechanical * 22. Nonlinear Resonance Curve: Electrical * 23. Nonlinear Resonance Curve: Magnetic * 24. Subharmonic Response: Period Doubling * 25. Diode: Period Doubling * 26. Five-Well Magnetic Potential * 27. Power Spectrum * 28. Entrainment and Quasiperiodicity * 29. Quasiperiodicity * 30. Chua's Butterfly * 31. Route to Chaos * 32. Driven Spin Toy * 33. Mapping * Bibliography * Index