Kovalevskaya exponents, weak Painlevé property and integrability for quasi-homogeneous differential systems
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Publication:2197286
DOI10.1134/S1560354720030053zbMath1470.34004MaRDI QIDQ2197286
Shaoyun Shi, Wenlei Li, Kaiyin Huang
Publication date: 31 August 2020
Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)
integrabilitydifferential Galois theoryKovalevskaya exponentsquasi-homogenous systemweak Painlevé property
Explicit solutions, first integrals of ordinary differential equations (34A05) Ordinary differential equations on complex manifolds (34M45) Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain (34M15)
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Cites Work
- Unnamed Item
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- Galoisian obstruction to the integrability of general dynamical systems
- First integrals and Darboux polynomials of natural polynomial Hamiltonian systems
- Weak-Painlevé property and integrability of general dynamical systems
- The completely integrable differential systems are essentially linear differential systems
- Bifurcation of solutions and the nonexistence of first integrals in Hamiltonian mechanics. I
- Galoisian obstructions to non-Hamiltonian integrability
- Generalized rational first integrals of analytic differential systems
- Multiplicity of invariant algebraic curves in polynomial vector fields
- Jordan obstruction to the integrability of Hamiltonian systems with homogeneous potentials
- Darboux theory of integrability for polynomial vector fields in taking into account the multiplicity at infinity
- An algorithm for solving second order linear homogeneous differential equations
- A criterion for the non-existence of an additional integral in Hamiltonian systems with a homogeneous potential
- Extended integrability and bi-Hamiltonian systems
- Tensor invariants of quasihomogeneous systems of differential equations, and the Kovalevskaya-Lyapunov asymptotic method
- A brief history of Kovalevskaya exponents and modern developments
- A criterion for the nonexistence of an additional analytic integral in Hamiltonian systems with \(n\) degrees of freedom
- Darboux theory of integrability in \(\mathbb C^n\) taking into account the multiplicity
- Analytic normalization of analytic integrable systems and the embedding flows
- Darboux polynomials and first integrals of natural polynomial Hamiltonian systems
- Non-existence of first integrals in a Laurent polynomial ring for general semi-quasihomogeneous systems
- Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
- On the nonexistence of rational first integrals for nonlinear systems and semiquasihomogeneous systems
- Non-integrability of a class of Hamiltonian systems
- Higher-Dimensional Integrable Newton Systems with Quadratic Integrals of Motion
- On the invariant hyperplanes ford-dimensional polynomial vector fields
- The weak-Painlevé property as a criterion for the integrability of dynamical systems
- On a Result of Bruns
- Nonlinear Aspects of Competition Between Three Species
- Darboux integrability of a generalized Friedmann-Robertson-Walker Hamiltonian system
- Darboux integrability of generalized Yang–Mills Hamiltonian system
- Integrability, partial integrability, and nonintegrability for systems of ordinary differential equations
- Darboux integrability of 2-dimensional Hamiltonian systems with homogenous potentials of degree 3
- Necessary condition for the existence of algebraic first integrals
- Differential Galois theory and non-integrability of Hamiltonian systems
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