Bifurcation and symmetry

  • A collection of lectures on the preservation of stability under discretization edited by Don Estep and myself are available from SIAM.


  • "The numerical analysis of bifurcation problems with application to fluid mechanics", Acta Numerica 2000 , pp 39--131, with A. Spence and K.A. Cliffe.


  • Implementation of Extended Systems Using Symbolic Algebra. with K.A. Cliffe.


  • O(2)-symmetry breaking bifurcation: with application to the flow past a sphere in a pipe. with A. Spence and K.A. Cliffe.


  • Bifurcation of low Reynolds number flows in symmetric channels with F. Battaglia , A.K. Kulkarni and C.L. Merkle.


  • Stability of the O(2)-symmetric flow past a sphere in a pipe. Separate fig 1 , fig 2 , fig 3a , fig 3b , fig 3c , fig 4 , fig 5 , fig 6 , fig 7 , fig 8 .