Teacher resources and professional development across the curriculum

Teacher professional development and classroom resources across the curriculum

# Glossary

## Bifurcation

A bifurcation is an abrupt change in the qualitative behavior of a system.

## Chaos

Chaos is a type of nonlinear behavior characterized by sensitive dependence on initial conditions.

## Equilibrium Points

Equilibrium points are important features of a system's behavior. They can be stable or unstable, depending on whether or not a system is naturally evolves toward them or away.

## Feigenbaum's Constants

These numbers describe the "threshold" of chaos--where a system transitions from normal to chaotic behavior.

Repeated action.

## LaGrange Points

LaGrange Points are unstable equilibrium points where two or more gravitational fields are balanced.

## Linear

Linear systems can be solved relatively simply because they can be broken down into parts that can be solved separately.

## Nonlinear Dynamics

Nonlinear dynamics is the study of complicated changing systems that don't always behave proportionally or predictably.

## Phase Portrait

A phase portrait is a path through phase space that describes how a system's behavior evolves in time.

## Phase Space

Phase space is a way to model the behavior of nonlinear systems in an abstract space.

## Principle of Superposition

This principle allows linear systems to be solved by breaking them into parts, finding simple solutions and combining them to create solutions to the original system.