Nonlocal singularities on families of periodic solutions to ordinary differential equations

DOI10.1134/S0965542520010145zbMath1459.34106MaRDI QIDQ2206408

Victor P. Varin

Publication date: 22 October 2020

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

periodic solutionsordinary differential equationscomputer algebradegeneracyvariational equationsformal differentiation

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Periodic solutions to ordinary differential equations (34C25) Singularities of holomorphic vector fields and foliations (32S65)

Cites Work

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• Stability sets of multiparameter Hamiltonian systems
• Asymptotic expansion of Crocco solution and the Blasius constant
• Integration of ordinary differential equations on Riemann surfaces with unbounded precision
• Poincaré map for some polynomial systems of differential equations
• Degeneracies of periodic solutions to the Beletsky equation

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