calumniate 发表于 2025-3-26 23:10:45
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Secondary Instabilities of Hexagons: A Bifurcation Analysis of Experimentally Observed Faraday Wave to three different superlattice patterns. We analyse the bifurcations involved in creating the three new patterns using a symmetry-based approach. Each of the three examples reveals a different situation that can arise in the theoretical analysis刚开始 发表于 2025-3-27 06:48:54
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Piecewise Rotations: Bifurcations, Attractors and Symmetries rotations. We illustrate a new example of an attractor. The structure of this attractor appears to be present in the invertible piecewise rotation systems with two atoms. In the non-invertible case, we also illustrate a bifurcation mechanism leading to births of satellite systems.蔑视 发表于 2025-3-27 16:43:21
Pattern Formation with Galilean Symmetryon. 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.纪念 发表于 2025-3-27 19:15:46
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Trends in Mathematicshttp://image.papertrans.cn/b/image/185548.jpg野蛮 发表于 2025-3-28 03:59:02
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https://doi.org/10.1007/978-3-642-57540-2to three different superlattice patterns. We analyse the bifurcations involved in creating the three new patterns using a symmetry-based approach. Each of the three examples reveals a different situation that can arise in the theoretical analysis