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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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发表于 2025-3-21 19:16:43 | 显示全部楼层 |阅读模式
期刊全称Bifurcation and Symmetry
期刊简称Cross Influence betw
影响因子2023Eugene L. Allgower,Klaus Böhmer,Martin Golubitsky
视频video
学科分类International Series of Numerical Mathematics
图书封面Titlebook: Bifurcation and Symmetry; Cross Influence betw Eugene L. Allgower,Klaus Böhmer,Martin Golubitsky Book 1992 Springer Basel AG 1992 Germany.V
影响因子Symmetry is a property which occurs throughout nature and it is therefore natural that symmetry should be considered when attempting to model nature. In many cases, these models are also nonlinear and it is the study of nonlinear symmetric models that has been the basis of much recent work. Although systematic studies of nonlinear problems may be traced back at least to the pioneering contributions of Poincare, this remains an area with challenging problems for mathematicians and scientists. Phenomena whose models exhibit both symmetry and nonlinearity lead to problems which are challenging and rich in complexity, beauty and utility. In recent years, the tools provided by group theory and representation theory have proven to be highly effective in treating nonlinear problems involving symmetry. By these means, highly complex situations may be decomposed into a number of simpler ones which are already understood or are at least easier to handle. In the realm of numerical approximations, the systematic exploitation of symmetry via group repre­ sentation theory is even more recent. In the hope of stimulating interaction and acquaintance with results and problems in the various fields
Pindex Book 1992
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Numerical Investigation of the Bifurcation from Travelling Waves to Modulated Travelling Waves,obian 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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Secondary, Tertiary and Quarternary States of Fluid Flow,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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On Diffusively Coupled Oscillators,anonical 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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Symmetry Aspects of 3-Periodic Minimal Surfaces,oint and its site symmetry is established. Explicit formulae are given for the calculation of the genus of such a surface depending on the kind of surface patches that build up the surface. Making use of 2-fold axes that have to be embedded in a surface with given symmetry new families of minimal ba
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