Teacher resources and professional development across the curriculum
Teacher professional development and classroom resources across the curriculum
A bifurcation is an abrupt change in the qualitative behavior of a system.
Chaos is a type of nonlinear behavior characterized by sensitive dependence on initial conditions.
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.
These numbers describe the "threshold" of chaos--where a system transitions from normal to chaotic behavior.
LaGrange Points are unstable equilibrium points where two or more gravitational fields are balanced.
Linear systems can be solved relatively simply because they can be broken down into parts that can be solved separately.
Nonlinear dynamics is the study of complicated changing systems that don't always behave proportionally or predictably.
A phase portrait is a path through phase space that describes how a system's behavior evolves in time.
Phase space is a way to model the behavior of nonlinear systems in an abstract space.
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.
Chaotic systems can exhibit sensitive dependence on initial conditions. In other words, small changes in input can lead to dramatic changes in output.