Lotka–Volterra systems integrable in quadratures
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Publication:5504912
DOI10.1063/1.2912226zbMath1152.81347OpenAlexW1971602778MaRDI QIDQ5504912
Yoshiaki Itoh, Oleg I. Bogoyavlenskij, Tetsuyuki Yukawa
Publication date: 23 January 2009
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.2912226
Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Nonlinear ordinary differential equations and systems (34A34) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)
Related Items (4)
A normal form of completely integrable systems ⋮ New global solutions of the Jacobi partial differential equations ⋮ On the dynamics of a class of Kolmogorov systems ⋮ Method of descent for integrable lattices
Cites Work
- Hamiltonian structure and first integrals for the Lotka-Volterra systems
- On an explicitly soluble system of nonlinear differential equations related to certain Toda lattices
- Superintegrability in a two-dimensional space of nonconstant curvature
- Superintegrability with third-order integrals in quantum and classical mechanics
- Superintegrable systems in Darboux spaces
- Integrable and superintegrable quantum systems in a magnetic field
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