Titlebook: Bifurcation, Symmetry and Patterns; Jorge Buescu,Sofia B. S. D. Castro,Isabel Salgado Book 2003 Springer Basel AG 2003 Hot Spot.Mathemati

MIME

H. Alfke,M. Kalinowski,H.-J. Wagnerattices. This is an equivariant bifurcation with spatial symmetry Γ = ..?.⊕?.. By extending the group to a larger, wreath product group we can use the method of . to find all solution branches guaranteed by group theory to be primary. This work is an extension of that done for the steady state FCC and BCC bifurcations in ..

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https://doi.org/10.1007/978-3-642-58522-7on. This is because the Galilean symmetry leads to a large-scale neutral mode that interacts with the pattern. The resulting coupled amplitude equations, derived by considering the symmetry, show chaotic behaviour and exhibit a novel scaling in which the amplitude of the pattern is proportional to the 3/4 power of the bifurcation parameter.

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Per G. Lindgren,Anders HemmingssonIn this note we reveal some of the special structure of a year-class model. We formulate a certain parameter symmetry and compute the characteristic equation at the unique nontrivial equilibrium. In the case of equal sensitivity we derive phase-amplitude equations and show the existence of an invariant manifold.

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Interventionelle kardiale ElektrophysiologieThis note is a summary of a talk given at the Conference on Symmetry and Bifurcation in honor of Marty Golubitsky and Ian Stewart. The results stated in this note are found, together with proofs, in the paper .

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Persistent Ergodicity and Stably Ergodic SRB Attractors in Equivariant DynamicsWe describe some recent analytic results on the co-existence of symmetry and chaotic dynamics in equivariant dynamics. We emphasize the case of skew-products and stably SRB attractors

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