On the integrability of systems of nonlinear ordinary differential equations with superposition principles
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Publication:3717444
DOI10.1063/1.527128zbMath0589.34040OpenAlexW2037692987MaRDI QIDQ3717444
V. G. Papageorgiou, Pavel Winternitz, Tassos C. Bountis
Publication date: 1986
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.527128
Hamiltonianprojective Riccati equationsLie algebras of vector fieldsfirst order ordinary differential equationsnonlinear superposition principlesunbounded motion
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Cites Work
- Systems of ordinary differential equations with nonlinear superposition principles
- On the complete and partial integrability of non-Hamiltonian systems
- A nonlinear superposition principle admitted by coupled Riccati equations of the projective type
- Kowalewski's asymptotic method, Kac-Moody Lie algebras and regularization
- Integrability and non-integrability in Hamiltonian mechanics
- Superposition principles for matrix Riccati equations
- Roads to turbulence in dissipative dynamical systems
- Classification of systems of nonlinear ordinary differential equations with superposition principles
