DEMN 发表于 2025-3-25 05:54:01
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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 发表于 2025-3-25 13:29:59
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978-1-4612-8929-6Springer-Verlag New York, Inc. 1988Adulate 发表于 2025-3-26 03:15:47
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Symmetry-Breaking in Steady-State Bifurcation,tion of a compact Lie group Γ on . ℝ.. 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 发表于 2025-3-26 10:34:38
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 发表于 2025-3-26 14:28:43
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