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Nonlinear Dynamics & Chaos — Full Course Following Strogatz | Dr. Shane Ross

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Cusp Catastrophe in Ecology: The Spruce Budworm Outbreak Model

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Cusp Catastrophe: Sudden Transitions in Nonlinear Systems

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Pitchfork Bifurcation Explained via a Bead in a Rotating Hoop

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Nondimensionalizing Equations of Motion | Buckingham Pi Theorem (Bead on a Rotating Hoop)

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Bead on a Rotating Hoop: Deriving the Equations of Motion

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Robustness of Bifurcations Under Perturbation | Bifurcations Part 4

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Pitchfork Bifurcation: Buckling Beams & Symmetry Breaking

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Transcritical Bifurcation: Laser Model Example

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Saddle-Node Bifurcation Explained (Strogatz Ch. 3) | Bifurcations Part 1

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Impossibility of Oscillations in 1D Flows

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Logistic Equation Explained: Population Growth and Carrying Capacity (Strogatz Ch. 2)

Graphical Analysis of 1D Nonlinear ODEs: Fixed Points & Stability (Strogatz Ch. 2)

Nonlinear ODEs Explained: The Framework of Autonomous Differential Equations

Big Picture of Dynamics: Linear vs. Nonlinear & Chaos | Strogatz

Nonlinear Dynamics and Chaos: Introduction (Strogatz Ch. 1) | Lecture 1