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