Class Central is learner-supported. When you buy through links on our site, we may earn an affiliate commission.

Cornell University

Nonlinear Dynamics and Chaos

Cornell University via YouTube


Explore nonlinear dynamics and chaos with Cornell University's 30-hour program. Learn through analytical methods, examples, and applications like biological rhythms and chaotic waterwheels. Prerequisite: single-variable calculus.


MAE5790-1 Course introduction and overview.
MAE5790-2 One dimensional Systems.
MAE5790-3 Overdamped bead on a rotating hoop.
MAE5790-4 Model of an insect outbreak.
MAE5790-5 Two dimensional linear systems.
MAE5790-6 Two dimensional nonlinear systems fixed points.
MAE5790-7 Conservative Systems.
MAE5790-8 Index theory and introduction to limit cycles.
MAE5790-9 Testing for closed orbits.
MAE5790-10 van der Pol oscillator.
MAE5790-11 Averaging theory for weakly nonlinear oscillators.
MAE5790-12 Bifurcations in two dimensional systems.
MAE5790-13 Hopf bifurcations in aeroelastic instabilities and chemical oscillators.
MAE5790-14 Global bifurcations of cycles.
MAE5790-15 Chaotic waterwheel.
MAE5790-16 waterwheel equations and Lorenz equations.
MAE5790-17 Chaos in the Lorenz equations.
MAE5790-18 Strange attractor for the Lorenz equations.
MAE5790-19 One dimensional maps.
MAE5790-20 Universal aspects of period doubling.
MAE5790-21 Feigenbaum's renormalization analysis of period doubling.
MAE5790-22 Renormalization: Function space and a hands-on calculation.
MAE5790-23 Fractals and the geometry of strange attractors.
MAE5790-24 Hénon map.
MAE5790-25 Using chaos to send secret messages.

Taught by

Cornell MAE


Start your review of Nonlinear Dynamics and Chaos

Never Stop Learning.

Get personalized course recommendations, track subjects and courses with reminders, and more.