Dynamics And Symmetry (Icp Advanced Texts In Mathematics, #3)

by Michael Field

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This book contains the first systematic exposition of the global and local theory of dynamics equivariant with respect to a (compact) Lie group. Aside from general genericity and normal form theorems on equivariant bifurcation, it describes many general families of examples of equivariant bifurcation and includes a number of novel geometric techniques, in particular, equivariant transversality. This important book forms a theoretical basis of future work on equivariant reversible and Hamiltonian systems.This book also provides a general and comprehensive introduction to codimension one equivariant bifurcation theory. In particular, it includes the bifurcation theory developed with Roger Richardson on subgroups...Read more
  • ISBN13 9781860948282
  • Publish Date 4 September 2007
  • Publish Status Active
  • Publish Country GB
  • Imprint Imperial College Press