Nonlinear Dynamics: Chaos

Calendar

SES #	LECTURE TOPICS	DUE DATES
1	Introduction to Nonlinear Dynamics: Chaos
2	Flows and Bifurcations in One Dimension
3	Flows and Bifurcations in One Dimension (cont.)	Problem Set 1 due
4	Pendulum and Stability in Two Dimensional Systems
5	Pendulum and Stability in Two Dimensional Systems (cont.)	Problem Set 2 due
6	Dissipation and Contraction of Volumes in Phase Space
7	Dissipation and Contraction of Volumes in Phase Space (cont.)
8	Forced Oscillators and Limit Cycles
9	Forced Oscillators and Limit Cycles (cont.)
10	Bifurcations in Two Dimensions
11	Bifurcations in Two Dimensions (cont.)	Problem Set 3 due
12	Spectral Analysis for Dynamical Systems
13	Spectral Analysis for Dynamical Systems (cont.)	Problem Set 4 due
14	Spectral Analysis for Dynamical Systems (cont.)
15	Poincaré Sections
16	Poincaré Sections (cont.)	Problem Set 5 due
17	Fluid Dynamics and Rayleigh-Benard Convection
18	Fluid Dynamics and Rayleigh-Benard Convection (cont.)	Problem Set 6 due
19	Introduction to Strange Attractors	Problem Set 7 due
20	Lorenz Equations	Final Project Topic and Brief Summary due
21	Lorenz Equations (cont.)
22	Hénon Attractor	Problem Set 8 due
23	Fractal Dimension
24	Lyapunov Exponents	Problem Set 9 due
25	Period Doubling Route to Chaos
26	Period Doubling Route to Chaos (cont.)
27	Period Doubling Route to Chaos (cont.)	Problem Set 10 due
28	Intermittency (and Quasiperiodicity)
	Final Project Oral Presentation	Final Project Written Report due