Physics 505
Topics in Physics
Chaos and Time-Series Analysis
Fall 2000 Syllabus

References are to Robert C. Hilborn, Chaos and Nonlinear Dynamics: An Introduction for Scientists and Engineers, Second Edition (Oxford University Press, 2000).
 
Week  Date  Reading  Topic
9/5  Chapter 1  Introduction and Overview 
9/12  Chapter 2  One-Dimensional Maps 
9/19  Chapter 3  Nonchaotic Multidimensional Flows 
9/26  Chapter 4  Dynamical Systems Theory 
10/3  Chapter 5  Lyapunov Exponents 
10/10  Chapter 6  Strange Attractors 
10/17  Chapter 7  Bifurcations 
10/24  Chapter 8  Hamiltonian Chaos 
10/31  Chapter 9  Time-Series Properties 
10  11/7  Chapter 9  Nonlinear Prediction and Noise Reduction 
11  11/14  Chapter 9  Fractals 
12  11/21  Chapter 9  Calculation of Fractal Dimension 
13  11/28  Chapter 10  Multifractals 
14  12/5  Chapter 11  Other Fractal Sets 
15  12/12  Chapter 12  Spatiotemporal Chaos and Complexity