symmetry of an ordinary differential equation


Let f:nn be a smooth functionMathworldPlanetmath and let

x˙=f(x)

be a system of ordinary differential equations, in addition let γ be an invertible matrix. Then γ is a  of the ordinary differential equationMathworldPlanetmath if

f(γx)=γf(x).

Example:

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
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