Nonlinear Physics Textbook: –R.H.Enns, G.C.McGuire, “Nonlinear Physics with Mathematica for Scientists & Engineers”, Birhauser (01) References: –R.C.Hilborn,

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Presentation transcript:

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”, 2 nd ed., Oxford Univ Press (94,00) –H.G.Schuster, “Deterministic Chaos”, Physik-Verlag (84) Extra Readings: –I.Prigogine, “Order from Chaos”, Bantam (84) Website: down on Sundays) Home work submission:

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

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

1.1. It's A Nonlinear World Simple pendulum Linearized version EOM: 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, …