autonomous system
A system of ordinary differential equation is autonomous when it does not depend on time (does not depend on the independent variable) i.e. . In contrast nonautonomous is when the system of ordinary differential equation does depend on time (does depend on the independent variable) i.e. .
It can be noted that every nonautonomous system can be converted to an autonomous system by adding a dimension. i.e. If then it can be written as an autonomous system with and by doing a substitution with and .
Title | autonomous system |
Canonical name | AutonomousSystem |
Date of creation | 2013-03-22 13:37:26 |
Last modified on | 2013-03-22 13:37:26 |
Owner | Daume (40) |
Last modified by | Daume (40) |
Numerical id | 6 |
Author | Daume (40) |
Entry type | Definition |
Classification | msc 34A99 |
Synonym | autonomous |
Synonym | autonomous equation |
Synonym | nonautonomous |
Synonym | nonautonomous equation |
Related topic | TimeInvariant |
Related topic | SystemDefinitions |
Defines | nonautonomous system |