Notes on Forced Nonlinear Oscillators Click here For other older notes click here
Notes on Entrainment of Nonlinear Oscillators Click here
Notes on Floquet Theory I Click here
Notes on Floquet Theory II Click here
Notes on Stick-Slip Oscillations Click here
Notes on Slow-Fast Systems Click here
Slow Fast Systems: Taylor Dispersion Click here
Notes on Hysteresis and Slow Passage Through Bifurcation Points: Saddle-Node and Transcritical Points Click here
Extra Notes: Hopf Bifurcation Notes Click here
Notes on Slow Passage Through Hopf Bifurcation Points Click here: Extra notes related to quorum sensing Click here:
Papers on Slow Passage Through Bifurcation Points Click here
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 Click here
Notes on MEMS Devices Click here
Notes on Steady-State Combustion Click here
A Few Notes on Similarity Methods Click here
Notes on Lubrication Theory Click here
Local Analysis for PDE's: Edge Singularities Click here
Notes on Quasi-Steady-State Motor Transport Click here
Notes on Delay Equations Click here For notes on perturbation methods applied to delay equations click here
Homework 1: Assignment Click here (Due February 2nd): Solutions Click here
Homework 2: Assignment Click here (Due February 17th): Solutions Click here:
Homework 3: Assignment Click here (Due: ): Solutions Click here:
Homework 4: Assignment Click here (Due:): Solutions Click here:
Homework 5: Assignment Click here (Due March ): Solutions Click here:
Homework 6: Assignment Click here (Due March ): Solutions Click here:
Summary of Possible Projects: Notes Click here: