Abstract
An equivariant center-manifold reduction near relative equilibria of G-equivariant semiflows on Banach spaces is presented. In contrast to previous results, the Lie group G is possibly non-compact. Moreover, it is not required that G induces a strongly continuous group action on the underlying function space. In fact, G may act discontinuously. The results are applied to bifurcations of stable patterns arising in reaction-diffusion systems on the plane or in three-space modeling chemical systems such as catalysis on platinum surfaces and Belousov-Zhabotinsky reactions. These systems are equivariant under the Euclidean symmetry group. Hopf bifurcations from rigidly-rotating spiral waves to meandering or drifting waves and from twisted scroll rings are investigated.
Original language | English (US) |
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Pages (from-to) | 122-149 |
Number of pages | 28 |
Journal | Journal of Differential Equations |
Volume | 141 |
Issue number | 1 |
DOIs | |
State | Published - Nov 20 1997 |
Bibliographical note
Funding Information:B. Sandstede was partially supported by a Feodor Lynen Fellowship of the Alexander von Humboldt Foundation.