Nonlinear Dynamics and Chaos

À propos du cours

This course provides an introduction to nonlinear dynamics and chaos. It covers analytic and geometric methods for analyzing systems of differential equations and maps, with applications to physics, biology, and engineering.

Contenu du cours

Nonlinear Dynamics and Chaos
An extensive lecture series covering 1D and 2D systems, bifurcations, limit cycles, the Lorenz equations, and the geometry of strange attractors.

MAE5790-1 Course introduction and overview

01:16:31
MAE5790-2 One dimensional Systems

01:16:44
MAE5790-3 Overdamped bead on a rotating hoop

01:13:12
MAE5790-4 Model of an insect outbreak

01:15:16
MAE5790-5 Two dimensional linear systems

01:15:20
MAE5790-6 Two dimensional nonlinear systems fixed points

01:07:17
MAE5790-7 Conservative Systems

01:17:13
MAE5790-8 Index theory and introduction to limit cycles

01:13:55
MAE5790-9 Testing for closed orbits

01:16:52
MAE5790-10 van der Pol oscillator

01:05:57
MAE5790-11 Averaging theory for weakly nonlinear oscillators

01:16:08
MAE5790-12 Bifurcations in two dimensional systems

46:54
MAE5790-13 Hopf bifurcations in aeroelastic instabilities and chemical oscillators

01:07:57
MAE5790-14 Global bifurcations of cycles

01:16:22
MAE5790-15 Chaotic waterwheel

01:14:11
MAE5790-16 waterwheel equations and Lorenz equations

01:12:41
MAE5790-17 Chaos in the Lorenz equations

01:16:35
MAE5790-18 Strange attractor for the Lorenz equations

01:13:47
MAE5790-19 One dimensional maps

01:14:35
MAE5790-20 Universal aspects of period doubling

01:11:56
MAE5790-21 Feigenbaum’s renormalization analysis of period doubling

01:15:58
MAE5790-22 Renormalization: Function space and a hands-on calculation

01:08:32
MAE5790-23 Fractals and the geometry of strange attractors

01:04:32
MAE5790-24 Hénon map

51:24
MAE5790-25 Using chaos to send secret messages

01:05:21

Notes et avis de l’apprenant

Encore aucun avis !

Nonlinear Dynamics and Chaos

À propos du cours

Qu’allez-vous apprendre ?

Contenu du cours

Nonlinear Dynamics and Chaos
An extensive lecture series covering 1D and 2D systems, bifurcations, limit cycles, the Lorenz equations, and the geometry of strange attractors.

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

Assistance

Entreprise

Juridique

À propos du cours

Qu’allez-vous apprendre ?

Contenu du cours

Nonlinear Dynamics and Chaos An extensive lecture series covering 1D and 2D systems, bifurcations, limit cycles, the Lorenz equations, and the geometry of strange attractors.

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

Notes et avis de l’apprenant

Assistance

Entreprise

Juridique

Nonlinear Dynamics and Chaos
An extensive lecture series covering 1D and 2D systems, bifurcations, limit cycles, the Lorenz equations, and the geometry of strange attractors.