A method for constructing a complete bifurcation picture of a boundary value problem for nonlinear partial differential equations: application of the Kolmogorov-Arnold theorem

The purpose of this study is to develop a numerical method for bifurcation analysis of nonlinear partial differential equations, based on the reduction of partial differential equations to ordinary ones, using the Kolmogorov-Arnold theorem. Methods. This paper describes a method for reducing partia...

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Príomhchruthaitheoirí: Gromov, Vasily Alexandrovich, Tomashchuk, Korney Kirillovich, Beschastnov, Yury Nikolaevich, Sidorenko, Artem Aleksandrovich, Kakurin, Vasily Vladimirovich
Formáid: Alt
Teanga:Béarla
Foilsithe / Cruthaithe: Saratov State University 2025-07-01
Sraith:Известия высших учебных заведений: Прикладная нелинейная динамика
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Rochtain ar líne:https://andjournal.sgu.ru/sites/andjournal.sgu.ru/files/text-pdf/2025/07/and_2025-4_gromov_et-al_435-465.pdf
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