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One semester Strogatz textbook based introduction to nonlinear dynamics, advanced undergraduate or starting graduate level.

Lecture 1

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Lecture 2 : Things go weird

Lecture 2 : Things go weird

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Lecture 2 : Uniqueness rant (best skipped)

Lecture 2 : Uniqueness rant (best skipped)

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Lecture 3 : Numerics

Lecture 3 : Numerics

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Lecture 3 rant : Symmetry? Don't break it (best skipped)

Lecture 3 rant : Symmetry? Don't break it (best skipped)

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Lecture 3 rant : PDEs for barbarians (best skipped)

Lecture 3 rant : PDEs for barbarians (best skipped)

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Lecture 4 : Bifurcations

Lecture 4 : Bifurcations

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Lecture 5 : Bifurcations II

Lecture 5 : Bifurcations II

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Lecture 6a : Flows on a circle

Lecture 6a : Flows on a circle

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Lecture 6b : Damped pendulum. Fireflies

Lecture 6b : Damped pendulum. Fireflies

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Lecture 6 rant : Traffic pileups (best skipped)

Lecture 6 rant : Traffic pileups (best skipped)

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Lecture 7 : Two-dimensional systems

Lecture 7 : Two-dimensional systems

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Lecture 8 : Phase plane analysis

Lecture 8 : Phase plane analysis

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Lecture 9 : Conservative systems

Lecture 9 : Conservative systems

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Lecture 10 : Index theory

Lecture 10 : Index theory

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Lecture 10 rant 1: Tangent bundles (best skipped)

Lecture 10 rant 1: Tangent bundles (best skipped)

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Lecture 10 rant 2: Professor - the job (best skipped)

Lecture 10 rant 2: Professor - the job (best skipped)

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Lecture 11 : Limit cycles. Relaxation oscillators

Lecture 11 : Limit cycles. Relaxation oscillators

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Lecture 12 : Perturbation theory. Averaging

Lecture 12 : Perturbation theory. Averaging

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Lecture 12 rant : Divergent series

Lecture 12 rant : Divergent series

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Lecture 13 : 8.1 Saddle-node etc. bifurcations

Lecture 13 : 8.1 Saddle-node etc. bifurcations

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Lecture 13a : Stability eigenvalues

Lecture 13a : Stability eigenvalues

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Lecture 13b : 8.2 Hopf bifurcation I

Lecture 13b : 8.2 Hopf bifurcation I

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Lecture 14 : 8.2 Hopf bifurcation II

Lecture 14 : 8.2 Hopf bifurcation II

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Lecture 14 : 8.3 Chemical oscillations

Lecture 14 : 8.3 Chemical oscillations

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Extra : A stroll through 61,506 dimensions

Extra : A stroll through 61,506 dimensions

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Lecture 15 : 8.4 Cycle bifurcations

Lecture 15 : 8.4 Cycle bifurcations

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Lecture 15 rant : Poincare sections

Lecture 15 rant : Poincare sections

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Lecture 16 : 8.6 Quasiperiodicity

Lecture 16 : 8.6 Quasiperiodicity

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Lecture 16 : 8.7 Poincaré maps

Lecture 16 : 8.7 Poincaré maps

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Lecture 17 : Lorenz. Chaos!

Lecture 17 : Lorenz. Chaos!

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Lecture 17 : Finite time stability

Lecture 17 : Finite time stability

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Lecture 18 : Won't You Be My Neighbor?

Lecture 18 : Won't You Be My Neighbor?

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Lecture 19 : 10. One-dimensional maps

Lecture 19 : 10. One-dimensional maps

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Lecture 20 : Chaos yesterday

Lecture 20 : Chaos yesterday

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Lecture 20 : Chaos today

Lecture 20 : Chaos today

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Lecture 20 : Rant on order & chaos

Lecture 20 : Rant on order & chaos

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Lecture 22 : Universality

Lecture 22 : Universality

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Lecture 23 : Period doubling universality

Lecture 23 : Period doubling universality

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Lecture 24 : Fractals/schmactals

Lecture 24 : Fractals/schmactals

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Lecture 25 : Stretch & fold

Lecture 25 : Stretch & fold

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Lecture 26 : Averaging

Lecture 26 : Averaging

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Lecture 27 : Ah, chaos!

Lecture 27 : Ah, chaos!

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Lecture 28 : Wrapping it all up

Lecture 28 : Wrapping it all up

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