MAE5790-2 One dimensional Systems
Linearization for 1-D systems. Existence and uniqueness of solutions. Bifurcations. Saddle-node bifurcation. Bifurcation diagrams. Reading: Strogatz, "Nonlinear Dynamics and Chaos", Sections 3.0--3.2, 3.4.
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MAE5790-3 Overdamped bead on a rotating hoop
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MAE5790-5 Two dimensional linear systems
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This equation will change how you see the world (the logistic map)
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Topics in Dynamical Systems: Fixed Points, Linearization, Invariant Manifolds, Bifurcations & Chaos
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James Simons - Mathematics, Common Sense, and Good Luck: My Life and Careers
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MAE5790-1 Course introduction and overview
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One-Dimensional Mappings - Dynamical Systems | Lecture 30
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System Dynamics: Systems Thinking and Modeling for a Complex World
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History and Preliminaries - Dynamical Systems | Lecture 1
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Smooth-Maximum, the most useful function
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MAE5790-6 Two dimensional nonlinear systems fixed points
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MAE5790-9 Testing for closed orbits
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Group theory, abstraction, and the 196,883-dimensional monster
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The Brachistochrone, with Steven Strogatz
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The Anatomy of a Dynamical System
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We're 99.9% sure this pattern is true, but no one can prove it
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Mod-01 Lec-10 Elementary bifurcations
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MAE5790-8 Index theory and introduction to limit cycles
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