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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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The Accumulation of Boundary Doubling for Modified Tent MapsWe describe the transition to chaos via boundary doubling for a particularly simple class of map. In this two parameter family of maps the accumulation of boundary doubling occurs on a curve in parameter space. We characterize this curve and use relate the form of this curve to a novel set of difference equations with proportional delay.
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Semigroups of Functions and the Structure of Stationary Measures in Systems which Contract-on-averagThis 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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https://doi.org/10.1007/978-3-642-57540-2uid equations is analyzed using 0(2)-equivariant bifurcation theory, coupled with asymptotic numerical analysis. Calculation of the center manifold equations and normal form coefficients allows us to identify and classify the steady-state patterns as well as rotating waves. In particular, we show th
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H. Alfke,M. Kalinowski,H.-J. Wagnerinesq 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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H. Alfke,M. Kalinowski,H.-J. Wagnerattices. 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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