On resonances on the Kovalevskaya exponents

DOI10.1007/BF01210428zbMath0820.58048OpenAlexW1567922417MaRDI QIDQ1337905

S. T. Sadetov

Publication date: 16 November 1994

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01210428

zbMATH Keywords

Euler equationsresonancesKovalevskaya exponents

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Hamilton's equations (70H05) Variational problems in infinite-dimensional spaces (58E99)

Related Items (2)

Painlevé analysis and normal forms theory ⋮ Global properties of Kovalevskaya exponents

Cites Work

• Tensor invariants of quasihomogeneous systems of differential equations, and the Kovalevskaya-Lyapunov asymptotic method
• A criterion for the nonexistence of an additional analytic integral in Hamiltonian systems with \(n\) degrees of freedom
• Necessary condition for the existence of algebraic first integrals
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