Titlebook: Singularities and Groups in Bifurcation Theory; Volume II Martin Golubitsky,Ian Stewart,David G. Schaeffer Book 1988 Springer-Verlag New Yo

DEMN

凈禮

Introduction,In Volume I we showed how techniques from singularity theory may be applied to bifurcation problems, and how complicated arrangements of bifurcations may be studied by unfolding degenerate singularities. Both steady-state and Hopf bifurcations proved amenable to these methods.

gnarled

成份

棲息地

978-1-4612-8929-6Springer-Verlag New York, Inc. 1988

Adulate

conformity

Symmetry-Breaking in Steady-State Bifurcation,tion of a compact Lie group Γ on . ?.. Steady-state solutions satisfy . 0; that is, . We focus here on the symmetries that a solution . may possess and in particular define some simple “geometric” notions that will prove to be of central importance.

Affluence

Symmetry-Breaking in Hopf Bifurcation,ymmetry in Chapter VIII. There a dynamic phenomenon—the occurrence of periodic trajectories—was . to a problem in singularity theory by applying the Liapunov-Schmidt procedure. In the remainder of this volume we will show that this is a far-reaching idea and that dynamic phenomena in many different contexts can be studied by similar methods.

誓言

倫理學