Why Non Linear Physics Everything is Nonlinear Macro
- Slides: 8
Why Non. Linear Physics? • Everything is Nonlinear – Macro Systems – Gauge Theory, General Relativity • Qualitative Differences from Linear Case – Chaos / Fractals – Solitons – Self-Organization / Complexity
History • • Rayleigh-Benard: Patterns Russell: Soliton Waves Poincare: 3 -Body Problem Von Neumann: Cellular Automata Lorenz: Weather Model Mandelbrot: Fractals Prigogine: Brusselator
Recent Interests • Statistical Mechanics – Ergodic Problem • Complexity – Turbulence / Noises – Life • Natural Laws As Codes – S. Wolfram, “A New Kind od Science”
Non. Linear Physics with Mathematica (Maple) for Scientists and Engineers R. H. Enns and G. C. Mc. Guire Simon Fraser University Birkhauser 2001 (1997)
Content 1. 2. 3. 4. 5. 6. Introduction Nonlinear Systems. Part II Topological Analysis Analytic Methods The Numerical Approach
7. Limit Cycles 8. Forced Oscillators 9. Nonlinear Maps 10. Nonlinear PDE Phenomena 11. Numerical Simulation 12. Inverse Scattering Method
References • R. L. Zimmerman, F. I. Olness “Mathematica for Physics”, Addison Wesley (1995) • D. Gulick, “Encounter with Chaos”, Mc. Graw Hill (1992) • R. C. Hilborn, “Chaos & Nonlinear Dynamics”, 2 nd ed. , Oxford Univ Press (2000)
Web Site: http: //ckw. phys. ncku. edu. tw Email: class@ckw. phys. ncku. edu. tw
