Watch Current Video List All Videos ✓ Introduction and Maps I ✓ Introduction to nonlinear dynamics ✓ Video (12:40) Download Video Subtitles & Transcripts ✓ Maps and difference equations ✓ Video (6:44) Download Video Subtitles & Transcripts ✓ Quiz ✓ Quiz solution video (3:44) Download Video Subtitles & Transcripts ✓ Tutorial video: Matlab logistic map code (3:10) Download Video Subtitles & Transcripts ✓ Transients and attractors ✓ Video (6:13) Download Video Subtitles & Transcripts ✓ Quiz ✓ Quiz solution video (5:46) Download Video Subtitles & Transcripts ✓ Parameters and bifurcations ✓ Video (7:31) Download Video Subtitles & Transcripts ✓ Quiz ✓ Quiz solution video (2:38) Download Video Subtitles & Transcripts ✓ Homework ✓ Homework solution video (6:09) Download Video Subtitles & Transcripts ✓ Field trip: Boulder Creek ✓ Video (3:28) Download Video Subtitles & Transcripts ✓ Maps I: Unit test ✓ Take unit 1 test Download Exam PDF ✓ Maps II Unit 2 Forum Discussion ✓ Return maps ✓ Video (6:21) Download Video Subtitles & Transcripts ✓ Quiz ✓ Quiz solution video (5:09) Download Video Subtitles & Transcripts ✓ Constructing the bifurcation diagram ✓ Video (5:19) Download Video Subtitles & Transcripts ✓ Homework ✓ Homework solution video (4:34) Download Video Subtitles & Transcripts ✓ Exploring the bifurcation diagram ✓ Video (8:27) Download Video Subtitles & Transcripts ✓ Quiz ✓ Quiz solution video (5:01) Download Video Subtitles & Transcripts ✓ Feigenbaum and universality ✓ Video (5:57) Download Video Subtitles & Transcripts ✓ Homework ✓ Homework solution video (1:51) Download Video Subtitles & Transcripts ✓ Field trip: The standard map (with Jim Meiss) ✓ Video (11:57) Download Video Subtitles & Transcripts ✓ Maps II: Unit test ✓ Take unit 2 test Download Exam PDF ✓ Flows I Unit 3 Forum Discussion ✓ What is a flow? ✓ Video (7:36) Download Video Subtitles & Transcripts ✓ Quiz ✓ Quiz solution video (1:32) Download Video Subtitles & Transcripts ✓ State variables and state space ✓ Video (10:31) Download Video Subtitles & Transcripts ✓ Quiz ✓ Quiz solution video (3:51) Download Video Subtitles & Transcripts ✓ Introduction to ordinary differential equations (ODEs) ✓ Video (7:56) Download Video Subtitles & Transcripts ✓ Quiz ✓ Quiz solution video (1:48) Download Video Subtitles & Transcripts ✓ Nonlinearity and nonintegrability ✓ Video (7:56) Download Video Subtitles & Transcripts ✓ Quiz ✓ Quiz solution video (1:18) Download Video Subtitles & Transcripts ✓ Homework ✓ Homework solution video (2:06) Download Video Subtitles & Transcripts ✓ Field trip: ODEs and the human insulin system (with Sriram Sankaranarayanan) ✓ Video (12:37) Download Video Subtitles & Transcripts ✓ Flows I: Unit test ✓ Take unit 3 test Download Exam PDF ✓ Flows II Unit 4 Forum Discussion ✓ Fixed points and stability ✓ Video (3:52) Download Video Subtitles & Transcripts ✓ Quiz ✓ Quiz solution video (2:50) Download Video Subtitles & Transcripts ✓ Saddle points and eigenvectors ✓ Video (7:55) Download Video Subtitles & Transcripts ✓ Quiz ✓ Quiz solution video (6:17) Download Video Subtitles & Transcripts ✓ Stable and unstable manifolds ✓ Video (5:27) Download Video Subtitles & Transcripts ✓ Quiz ✓ Quiz solution video (3:29) Download Video Subtitles & Transcripts ✓ Attractors, strange and otherwise ✓ Video (8:52) Download Video Subtitles & Transcripts ✓ Quiz ✓ Quiz solution video (4:45) Download Video Subtitles & Transcripts ✓ Field trip: Using stable and unstable manifolds to design spacecraft trajectories (with Jeff Parker) ✓ Video (7:41) Download Video Subtitles & Transcripts ✓ Flows II: Unit test ✓ Take unit 4 test Download Exam PDF ✓ Flows III Unit 5 Forum Discussion ✓ ODEs, vector fields, and dynamical landscapes ✓ Video (8:38) Download Video Subtitles & Transcripts ✓ Quiz ✓ Quiz solution video (1:37) Download Video Subtitles & Transcripts ✓ Introduction to ODE solvers ✓ Video (3:36) Download Video Subtitles & Transcripts ✓ Quiz ✓ Quiz solution video (0:50) Download Video Subtitles & Transcripts ✓ Two simple ODE solvers: forward and backward Euler ✓ Video (6:16) Download Video Subtitles & Transcripts ✓ Quiz ✓ Quiz solution video (1:13) Download Video Subtitles & Transcripts ✓ Solving the simple harmonic oscillator ODEs ✓ Video (4:51) Download Video Subtitles & Transcripts ✓ Homework ✓ Homework solution video (5:47) Download Video Subtitles & Transcripts ✓ Field trip: Systems that can't be modeled with ODEs (with Jean Hertzberg) ✓ Video (5:16) Download Video Subtitles & Transcripts ✓ Flows III: Unit test ✓ Take unit 5 test Download Exam PDF ✓ Flows IV Unit 6 Forum Discussion ✓ ODE solvers, round II: Error and adaptation ✓ Video (9:17) Download Video ✓ Quiz ✓ Quiz solution video (2:15) Download Video Subtitles & Transcripts ✓ Production ODE solvers ✓ Video (6:07) Download Video ✓ Quiz ✓ Quiz solution video (1:08) Download Video Subtitles & Transcripts ✓ Numerical dynamics and due diligence ✓ Video (10:07) Download Video ✓ Quiz ✓ Quiz solution video (2:36) Download Video Subtitles & Transcripts ✓ Homework ✓ HW solution video (4:40) Download Video Subtitles & Transcripts ✓ Shadowing and chaos ✓ Video (4:03) Download Video Subtitles & Transcripts ✓ Quiz ✓ Quiz solution video (1:08) Download Video Subtitles & Transcripts ✓ Field trip: Solving partial differential equations (with Christine Hrenya) ✓ Video (15:01) Download Video ✓ Flows IV: Unit test ✓ Take unit 6 test Download Exam PDF ✓ Flows V Unit 7 Forum Discussion ✓ Dynamics and state-space deformation ✓ Video (7:53) Download Video ✓ Quiz ✓ Quiz solution video (3:00) Download Video Subtitles & Transcripts ✓ Lyapunov exponents ✓ Video (7:39) Download Video ✓ Quiz ✓ Quiz solution video (2:51) Download Video Subtitles & Transcripts ✓ Sections and projections ✓ Video (7:33) Download Video ✓ Quiz ✓ Quiz solution video (2:20) Download Video Subtitles & Transcripts ✓ Unstable periodic orbits ✓ Video (9:11) Download Video ✓ Quiz ✓ Quiz solution video (0:58) Download Video Subtitles & Transcripts ✓ Fractals and chaos ✓ Video (10:26) Download Video ✓ Quiz ✓ Quiz solution video (4:00) Download Video Subtitles & Transcripts ✓ Field trip: Diffusion-limited aggregation, fractals, and snowflakes (with Dave Feldman) ✓ Video (6:06) Download Video ✓ Flows V: Unit test ✓ Take unit 7 test Download Exam PDF ✓ Nonlinear time-series analysis I Unit 8 Forum Discussion ✓ Time-series analysis and the observer problem ✓ Video (9:33) Download Video Subtitles & Transcripts ✓ Quiz ✓ Quiz solution video (2:34) Download Video Subtitles & Transcripts ✓ Delay-coordinate embedding ✓ Video (12:39) Download Video ✓ Quiz ✓ Quiz solution video (3:35) Download Video Subtitles & Transcripts ✓ Topology, diffeomorphisms, and reconstruction of dynamics ✓ Video (4:30) Download Video Subtitles & Transcripts ✓ Quiz ✓ Quiz solution video (2:10) Download Video Subtitles & Transcripts ✓ Estimating embedding parameters ✓ Video (11:08) Download Video ✓ Video (4:20) Download Video ✓ Quiz ✓ Quiz solution video (2:22) Download Video Subtitles & Transcripts ✓ Homework ✓ Homework solution video (1:08) Download Video Subtitles & Transcripts ✓ Caveats and extensions ✓ Video (12:44) Download Video ✓ Quiz ✓ Quiz solution video (3:25) Download Video Subtitles & Transcripts ✓ Field trip: Detecting extreme events (with Holger Kantz) ✓ Video (13:16) Download Video Subtitles & Transcripts ✓ Video - algorithm details (5:33) Download Video ✓ Nonlinear time-series analysis I: Unit test ✓ Take unit 8 test Download Exam PDF ✓ Nonlinear time-series analysis II Unit 9 Forum Discussion ✓ Computing fractal dimensions ✓ Video (9:11) Download Video ✓ Video (7:05) Download Video Subtitles & Transcripts ✓ Quiz ✓ Quiz solution video (1:51) Download Video Subtitles & Transcripts ✓ Homework ✓ Homework solution video (3:52) Download Video Subtitles & Transcripts ✓ Computing Lyapunov exponents ✓ Video (6:20) Download Video Subtitles & Transcripts ✓ Video (6:38) Download Video Subtitles & Transcripts ✓ Quiz ✓ Quiz solution video (1:24) Download Video Subtitles & Transcripts ✓ Noise and filtering ✓ Video (6:41) Download Video Subtitles & Transcripts ✓ Quiz ✓ Quiz solution video (1:38) Download Video Subtitles & Transcripts ✓ Field trip: Cellphone interference (with Eugene Liu) ✓ Video (7:13) Download Video ✓ Video — match-filtering details (5:51) Download Video ✓ Nonlinear time-series analysis II: Unit test ✓ Take unit 9 test Download Exam PDF ✓ Applications Unit 10 Forum Discussion ✓ Field trip: Chaotic mixing and marine invertebrate reproduction (with John Crimaldi) ✓ Video (15:02) Download Video Subtitles & Transcripts ✓ Prediction ✓ Video (11:37) Download Video Subtitles & Transcripts ✓ Quiz ✓ Quiz solution video (1:10) Download Video Subtitles & Transcripts ✓ Control of chaos ✓ Video (10:36) Download Video Subtitles & Transcripts ✓ Quiz ✓ Quiz solution video (1:31) Download Video Subtitles & Transcripts ✓ Classical mechanics ✓ Video (6:32) Download Video Subtitles & Transcripts ✓ Quiz ✓ Quiz solution video (1:33) Download Video Subtitles & Transcripts ✓ Music and dance (with a coda on the difference between chaos and complexity) ✓ Video (16:18) Download Video Subtitles & Transcripts ✓ Quiz ✓ Quiz solution video (0:31) Download Video Subtitles & Transcripts ✓ Applications: Unit test ✓ Take unit 10 test Download Exam PDF ✓ 5.4 Solving the simple harmonic oscillator ODEs » Homework solution video (5:47) Download Video Subtitles & Transcripts