AMATH 568
Advanced Differential Equations: Asymptotics & Perturbations
Prof. J. Nathan Kutz
Department of Applied Mathematics
University of Washington
Office Hours (ZOOM): 230pm-4pm Mondays (ECE 242)
Slack Channel: (amath568 W23)
Topics Covered
- Topic 1: Nonlinear Dynamics & Phase Planes [ view ]
- Topic 2: Linear Operators & Spectral Theory [ view ]
- Topic 3: Green's Functions [ view ]
- Topic 4: Perturbation Theory [ view ]
- Topic 5: Bifurcation Theory and Normal Forms [ view ]
- Topic 6: Pattern Formation and Order Parameters [ view ]
- Topic 7: Floquet Theory [ view ]
Additional references:
For differential equations: Boyce & DiPrima, Elementary ODEs & BVPs
For Linear Operators: Stackgold, BVPs of Mathematical Physics
For Green's Functions: Stackgold, Green's Functions and BVPs
For Perturbation Theory: Bender & Orzag
For Bifurcation Theory: Drazin, Nonlinear Systems
For Pattern Formation: Cross & Hohenberg, Rev. Mod. Physics. 1993
For Floquet Theory: Nayfeh & Mook, Nonlinear Oscillations
For differential equations: Boyce & DiPrima, Elementary ODEs & BVPs
For Linear Operators: Stackgold, BVPs of Mathematical Physics
For Green's Functions: Stackgold, Green's Functions and BVPs
For Perturbation Theory: Bender & Orzag
For Bifurcation Theory: Drazin, Nonlinear Systems
For Pattern Formation: Cross & Hohenberg, Rev. Mod. Physics. 1993
For Floquet Theory: Nayfeh & Mook, Nonlinear Oscillations