Titlebook: Bifurcation and Symmetry; Cross Influence betw Eugene L. Allgower,Klaus Böhmer,Martin Golubitsky Book 1992 Springer Basel AG 1992 Germany.V

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Quasiperiodic drift flow in the Couette-Taylor problem,locities of the cylinders, different flow patterns are observed in experiments. Mathematically, transitions between different flow patterns can be described by instabilities and bifurcations of certain solutions of the Navier-Stokes equations for this problem. In this paper we consider the counterro

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Numerical Bifurcation Analysis of a Model of Coupled Neural Oscillators,construction of a network of this type requires the selection of a mathematical model for a single neural oscillator and the choice of a mechanism to couple the oscillators. Furthermore, one can consider neural oscillators that are all identical to each other or oscillators with different parameters

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https://doi.org/10.1007/978-3-030-31741-6eneric in restrictions of PDEs with Euclidean equivariance to systems periodic on rectangular (or rhombic) lattices under certain rationality assumptions. As an example, we examine the Kuramoto-Sivashinsky equation on a rectangular domain with Neumann boundary conditions, using Liapunov-Schmidt redu

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Splanchnic Block and Radiofrequency Ablationobian at every travelling wave solution is singular due to the O(2) symmetry which precludes the use of standard Hopf theory. Our approach is to add a spatial phase condition which removes the degeneracy in the Jacobian and allows standard theory to be applied. The numerical implications of this app

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Pericardial Effusion and Cardiac Tamponade,l as well as mathematical reasons the attention is usually focused on the basic state with the highest degree of symmetry exhibiting the flow phenomena of interest. Only fluid systems that are steady in time and homogeneous with respect to two spatial directions will thus be considered in this paper

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Anne Sparenberg,Klaus Weigel,Helmut Ernstanonical system of nonlinear partial differential equations that determines the temporal evolution of fluctuations of the phase and the energy around the uniformly oscillating state. This p.d.e.-system provides a generalization of the generic phase-diffusion equation, but resembles the Kuramoto-Siva

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External Stereotactic Focal Irradiationric mappings. The pictures in [1], [3], [5] also demonstrate that an unexpected kind of pattern formation occurs in symmetric chaotic dynamics where an order based on symmetry is forced on the randomness that is related to chaotic dynamics. Inspection of various numerical simulations in the literatu