Tensor invariants of quasihomogeneous systems of differential equations, and the Kovalevskaya-Lyapunov asymptotic method

zbMath0819.34004MaRDI QIDQ1311068

Valery V. Kozlov

Publication date: 8 February 1994

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

zbMATH Keywords

Kovalevskaja exponentsquasihomogeneous systemquasihomogeneous tensor fieldsquasihomogeneous tensor invariant

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (11)

On resonances on the Kovalevskaya exponents ⋮ Paul Painlevé and his contribution to science ⋮ The dynamics of systems with servoconstraints. II ⋮ Kovalevskaya exponents, weak Painlevé property and integrability for quasi-homogeneous differential systems ⋮ Stability analysis based on nonlinear inhomogeneous approximation ⋮ Lotka-Volterra equations in three dimensions satisfying the Kowalevski-Painlevé property ⋮ Rational integrals of quasi-homogeneous dynamical systems ⋮ Global properties of Kovalevskaya exponents ⋮ Tensor invariants and integration of differential equations ⋮ Kovalevskaya's method in rigid body dynamics ⋮ Rolling of a homogeneous ball over a dynamically asymmetric sphere

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