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

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Patchwork Patterns: Dynamics on Unbounded Domains using a number of different topologies to examine the asymptotic behaviour of patterns. This highlights some problems that need to be understood in constructing a topological theory of dynamics for spatiotemporal patterns
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Spatially Resonant Interactions in Annular Convectioninesq fluid. The stability of these convection patterns as well as the spatial interaction between them resulting in the formation of mixed modes are numerically investigated by considering the original nonlinear set of Navier-Stokes equations. A detailed picture of the nonlinear dynamics before tem
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Hopf Bifurcations on Cubic Latticesattices. This is an equivariant bifurcation with spatial symmetry Γ = ..∔.⊕ℤ.. 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 a
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Rayleigh-Bénard Convection with Experimental Boundary Conditionslaw of cooling is formulated as a bifurcation problem. The Rayleigh number as usually defined is shown to be inappropriate as a bifurcation parameter since the temperature across the layer depends on the amplitude of convection and hence changes as convection evolves at fixed external parameter valu
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