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- W1765794112 abstract "The symmetry groups of attractors for smooth equivariant dynamical systems have been classified when the underlying group of symmetries Gamma is finite. The problems that arise when Gamma is compact but infinite are of a completely different nature. We investigate the case when the connected component of the identity Gamma0 is Abelian and show that under fairly mild assumptions on the dynamics, it is typically the case that the symmetry of an -limit set contains the continuous symmetries Gamma0. Here, typicality is interpreted in both a topological and probabilistic sense (genericity and prevalence)." @default.
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- W1765794112 date "1997-07-09" @default.
- W1765794112 modified "2023-09-27" @default.
- W1765794112 title "Symmetric omega-limit sets for smooth Gamma-equivariant dynamical systems with Gamma 0 Abelian" @default.
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