First integrals of a generalized Darboux–Halphen system
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Publication:4832976
DOI10.1063/1.1556194zbMath1062.34003OpenAlexW2021929295MaRDI QIDQ4832976
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Publication date: 14 December 2004
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.1556194
Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Geometric methods in ordinary differential equations (34A26)
Related Items (7)
Multisymplectic structures and invariant tensors for Lie systems ⋮ Reduction and reconstruction of multisymplectic Lie systems ⋮ On the non-integrability of a generalized Darboux Halphen system ⋮ Integrable systems and reductions of the self-dual Yang–Mills equations ⋮ Some generalizations of Halphen's equations ⋮ Lie symmetries for Lie systems: applications to systems of ODEs and PDEs ⋮ Dynamical systems defining Jacobi's ϑ-constants
Cites Work
- Bifurcation of solutions and the nonexistence of first integrals in Hamiltonian mechanics. I
- Nonexistence of univalued integrals and branching of solutions in solid body dynamics
- On foundation of the generalized Nambu mechanics
- Some remarks concerning Nambu mechanics
- On the algebraic non-integrability of the Halphen system
- Solvable models of relativistic charged spherically symmetric fluids
- Poisson structure of dynamical systems with three degrees of freedom
- Integrability, Monodromy Evolving Deformations, and Self-Dual Bianchi IX Systems
- Generalized Hamiltonian Dynamics
- The Generalized Chazy Equation from the Self‐Duality Equations
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