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• W2802783071 abstract "In this paper, we systematically research periodic orbits of the Kuramoto–Sivashinsky equation (KSe). In order to overcome the difficulties in the establishment of one-dimensional symbolic dynamics in the nonlinear system, two basic periodic orbits can be used as basic building blocks to initialize cycle searching, and we use the variational method to numerically determine all the periodic orbits under parameter [Formula: see text] = 0.02991. The symbolic dynamics based on trajectory topology are very successful for classifying all short periodic orbits in the KSe. The current research can be conveniently adapted to the identification and classification of periodic orbits in other chaotic systems." @default.
• W2802783071 created "2018-05-17" @default.
• W2802783071 creator A5040109243 @default.
• W2802783071 date "2018-05-24" @default.
• W2802783071 modified "2023-10-12" @default.
• W2802783071 title "Topological classification of periodic orbits in the Kuramoto–Sivashinsky equation" @default.
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• W2802783071 doi "https://doi.org/10.1142/s0217984918501555" @default.
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