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arXiv · hep-th/9412122

Multi-Hamiltonian Structure of Lotka-Volterra and Quantum Volterra Models

C. Cronstrom·M. Noga
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Abstract

We consider evolution equations of the Lotka-Volterra type, and elucidate especially their formulation as canonical Hamiltonian systems. The general conditions under which these equations admit several conserved quantities (multi-Hamiltonians) are analysed. A special case, which is related to the Liouville model on a lattice, is considered in detail, both as aclassical and as aquantal system

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C. Cronstrom, M. Noga. 1994-12-14. Multi-Hamiltonian Structure of Lotka-Volterra and Quantum Volterra Models. https://doi.org/10.1016/0550-3213(95)00152-i

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