symmetry of an ordinary differential equation
Let be a smooth function and let
be a system of ordinary differential equations, in addition let be an invertible matrix. Then is a of the ordinary differential equation if
Example:
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Natural symmetry of the Lorenz equation is a example of a symmetry of a differential equation.
References
- GSS Golubitsky, Martin. Stewart, Ian. Schaeffer, G. David: Singularities and Groups in Bifurcation Theory (Volume II). Springer-Verlag, New York, 1988.
Title | symmetry of an ordinary differential equation |
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Canonical name | SymmetryOfAnOrdinaryDifferentialEquation |
Date of creation | 2013-03-22 13:42:24 |
Last modified on | 2013-03-22 13:42:24 |
Owner | Daume (40) |
Last modified by | Daume (40) |
Numerical id | 10 |
Author | Daume (40) |
Entry type | Definition |
Classification | msc 34-00 |
Synonym | symmetry of an differential equation |