by Neil E. Cotter

Research Assistant Professor

Last Updated: 7/16/06

 

 


Nonlinear Systems/Differential Equations

Single-variable example/overview

Autonomous differential equations

Form

Example

Dimensionless equations

Fixed points

Shifting origin

Null clines

Limit cycles

Linearization

Linearization

Jacobian

N-dim Taylor series

Stability

Manifolds

Multivariable Chain Rule

Change of variables

Lyapunov functions

Perturbation theory

Averaging example