Description

Overview:

To describe how oscillations are supported in systems of differential equations, we present a classic "Romeo and Juliet" picture of two-dimensional oscillations, and we analyze how trajectories change as nullclines are arranged at different angles in the phase plane. In addition to models based on traditional systems of differential equations, dynamical systems with time delays and dynamical systems with stochastic fluctuation (i.e. stochastic resonance) can also support oscillations.

Subject:

Life Science, Mathematics

Level:

High School, Community College / Lower Division, College / Upper Division, Graduate / Professional, Career / Technical, Adult Education

Material Type:

Lecture Notes

Author:

David Liao

Provider:

Look At Physics

Provider Set:

A Mathematical Way to Think About Biology

Date Added:

10/08/2012