Notes on Forced Nonlinear Oscillators
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Notes on Entrainment of Nonlinear Oscillators
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Notes on Floquet Theory I
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Notes on Floquet Theory II
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Notes on Stick-Slip Oscillations
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Notes on Slow-Fast Systems
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Slow Fast Systems: Taylor Dispersion
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Notes on Hysteresis and Slow Passage Through
Bifurcation Points: Saddle-Node and Transcritical Points
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Extra Notes: Hopf Bifurcation Notes
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Notes on Slow Passage Through Hopf
Bifurcation Points
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Papers on Slow Passage Through Bifurcation Points
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Notes on Bifurcation Theory: Critical Patch
Size in Ecology Click here:
Euler-Buckling Bifurcation Notes Click here:
For notes on heat equation and Sturm Liouville: REVIEW from undergrad PDE
(see pages 6--10) of
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Notes on MEMS Devices
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Notes on Steady-State Combustion
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A Few Notes on Similarity Methods
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Notes on Lubrication Theory
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Local Analysis for PDE's: Edge Singularities
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Notes on Quasi-Steady-State Motor Transport
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Notes on Delay Equations
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For notes on perturbation methods applied to delay equations
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Homework 1: Assignment
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Solutions Click here
Homework 2: Assignment
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Solutions Click here:
Homework 3: Assignment
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Homework 4: Assignment
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Homework 5: Assignment
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Homework 6: Assignment
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Summary of Possible Projects: Notes
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