Darboux integrability of 2-dimensional Hamiltonian systems with homogenous potentials of degree 3
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Publication:5414808
DOI10.1063/1.4868701zbMath1286.70020OpenAlexW1995575983MaRDI QIDQ5414808
Publication date: 7 May 2014
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: http://ddd.uab.cat/record/150711
Hamilton's equations (70H05) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06)
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Cites Work
- A theory of exact and approximate configurational invariants
- Multiplicity of invariant algebraic curves in polynomial vector fields
- Darboux theory of integrability for polynomial vector fields in taking into account the multiplicity at infinity
- A criterion for the nonexistence of an additional analytic integral in Hamiltonian systems with \(n\) degrees of freedom
- On non-integrability of general systems of differential equations
- All meromorphically integrable 2D Hamiltonian systems with homogeneous potential of degree 3
- Qualitative theory of planar differential systems
- On the existence of polynomial first integrals of quadratic homogeneous systems of ordinary differential equations
- Polynomial first integrals for quasi-homogeneous polynomial differential systems
- Darboux points and integrability of Hamiltonian systems with homogeneous polynomial potential
- A note on Kowalevski exponents and the non-existence of an additional analytic integral
- Analytic structure of the Henon–Heiles Hamiltonian in integrable and nonintegrable regimes
- A word of caution concerning the Yoshida criterion on algebraic integrability and Kowalevski exponents
- Integrability, partial integrability, and nonintegrability for systems of ordinary differential equations
- Necessary condition for the existence of algebraic first integrals
- Differential Galois theory and non-integrability of Hamiltonian systems