On the discretization of the three-dimensional Volterra system

DOI10.1016/0375-9601(94)00557-5zbMath0961.65500OpenAlexW1965551064MaRDI QIDQ1965019

Yoshimasa Nakamura, Taro Hashimoto

Publication date: 6 February 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0375-9601(94)00557-5

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Population dynamics (general) (92D25) Qualitative theory for ordinary differential equations (34C99) Discrete version of topics in analysis (39A12) Numerical methods for ordinary differential equations (65L99)

Related Items (4)

Composite integrators for bi-Hamiltonian systems ⋮ Discrete Painlevé equations: coalescences, limits and degeneracies ⋮ On an integrable discretization of integrable systems with a separatrix. ⋮ Geometric integration of conservative polynomial ODEs

Cites Work

• Recent progress in the theory and application of symplectic integrators
• Three integrable Hamiltonian systems connected with isospectral deformations
• On a ruin problem with interaction
• Boundedness of three-species cyclic predator-prey systems which lack some self-limiting terms

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