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Cosymmetry illustration______          Cosymmetry page

A cosymmetry of operator or vector field is a natural cause for existence of continuous families of solutions of operator equations or equilibria of dynamical system. The concept of cosymmetry was originally introduced in Ref.1 by Yudovich in order to explain the unusual character of the first transition in the twodimensional problem of filtrational convection [See Ref. 2, Lyubimov, 1975].

  1. V.I. Yudovich "Cosymmetry, degeneracy of the solution of operator equations, and the onset of filtrational convection." Mat.Zametki 49, 142 (1991)
  2. D.V.Lyubimov, "Convective motions in a porous medium heated from below," Zh.Prikl.Mekh. Tekh. Fiz., No. 2, 131 (1975)
  3. V.I. Yudovich "Cosymmetry and Second-Order Differential Equations" [in Russian], deposited at VINITI, 1993, No. 1008-V93.
  4. V.I. Yudovich "Cosymmetry and Convection in a Multicomponent Fluid" [in Russian], deposited at VINITI, 1993, No. 1523-V93.
  5. V.I. Yudovich "Secondary cycle of equilibria in a system with cosymmetry, its creation by bifurcation and impossibility of symmetric treatment of it". Chaos, Vol.5, No. 2, 1995.

Cosymmetry gallery

Basins of equilibria families
Basins I____ Basins II____Basins III

Page prepared by V.Govorukhin. Last modified 16 june 1997.

Dep. of Comput. maths and math. physics, Faculty of Maths and Mechanics, Rostov State University.