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Reference Gallery

MAE5790-16 waterwheel equations and Lorenz equations
MAE5790-15 Chaotic waterwheel
MAE5790-18 Strange attractor for the Lorenz equations
3D Systems, Lorenz Equations Derived, Chaotic Waterwheel
The Lorenz Equations - Dynamical Systems | Lecture 27
Lecture 26: The Lorenz Equations
MAE5790-17 Chaos in the Lorenz equations
MAE5790-2 One dimensional Systems
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MAE5790-16 waterwheel equations and Lorenz equations

MAE5790-16 waterwheel equations and Lorenz equations

Read more details and related context about MAE5790-16 waterwheel equations and Lorenz equations.

MAE5790-15 Chaotic waterwheel

MAE5790-15 Chaotic waterwheel

Read more details and related context about MAE5790-15 Chaotic waterwheel.

MAE5790-18 Strange attractor for the Lorenz equations

MAE5790-18 Strange attractor for the Lorenz equations

Defining attractor, chaos, and strange attractor. Transient chaos in games of chance. Dynamics on the

3D Systems, Lorenz Equations Derived, Chaotic Waterwheel

3D Systems, Lorenz Equations Derived, Chaotic Waterwheel

Chaos requires a 3D nonlinear system of ODEs, as illustrated by the

The Lorenz Equations - Dynamical Systems | Lecture 27

The Lorenz Equations - Dynamical Systems | Lecture 27

We did it! We made it to 3D systems! In this lecture we do a case study of the celebrated

Lecture 26: The Lorenz Equations

Lecture 26: The Lorenz Equations

Read more details and related context about Lecture 26: The Lorenz Equations.

MAE5790-17 Chaos in the Lorenz equations

MAE5790-17 Chaos in the Lorenz equations

Global stability for the origin for r is less than 1. Liapunov function. Boundedness. Hopf bifurcations. No quasiperiodicity.

MAE5790-2 One dimensional Systems

MAE5790-2 One dimensional Systems

Linearization for 1-D systems. Existence and uniqueness of solutions. Bifurcations. Saddle-node bifurcation. Bifurcation diagrams.