1 / 4

Nonlinear Physics

Explore nonlinear systems, topological analysis, and analytic methods in physics with a focus on Nonlinear PDE phenomena and numerical simulation in this comprehensive textbook. Includes practical exercises using Mathematica.

williamthompson
Download Presentation

Nonlinear Physics

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Nonlinear Physics • Textbook: • R.H.Enns, G.C.McGuire, “Nonlinear Physics with Mathematica for Scientists & Engineers”, Birhauser (01) • References: • R.C.Hilborn, “Chaos & Nonlinear Dynamics”, 2nd ed., Oxford Univ Press (94,00) • H.G.Schuster, “Deterministic Chaos”, Physik-Verlag (84) • Extra Readings: • I.Prigogine, “Order from Chaos”, Bantam (84) Website: http://ckw.phys.ncku.edu.tw (shuts down on Sundays) Home work submission: class@ckw.phys.ncku.edu.tw

  2. Nonlinear Physics: with Mathematica for Scientists and Engineers 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

  3. 1. Introduction 1.1 It's a Nonlinear World 1.2 Symbolic Computation 1.3 Nonlinear Experimental Activities 1.4 Scope of Part I (Theory)

  4. 1.1. It's A Nonlinear World EOM: Linearized version Simple pendulum Rationale for linearization: Simpler mode serves better to the “understanding” of the system. Implicit assumption: no qualitative change incurred in the linearization. Phenomena that violate this: chaos, solitons, complexity, …

More Related