Complete Integrability of Nonlinear Network Equations Describing a Volterra System
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概要
- 論文の詳細を見る
Nonlinear network equations equivalent to Volterra's competition equations, whichwas solved by the inverse scattering method in a previous paper, are shown to describe acompletely integrable Hamiltonian system. A roundabout is taken to put the equations into the canonical form. Extendedequations are proposed, which reduce to the equations for the Volterra system whencertain constraints for potentials are satisfied. The generalized system can be analyzedby the standard canonical formulation. The constraints are rewritten first by means ofscattering data and then of action-angle variables. The Hamiltonian for the extendedsystem as well as the Volterra system can be expressed only in terms of action variables.
- 社団法人日本物理学会の論文
- 1977-11-15
著者
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MUGIBAYASHI Nobumichi
Department of Electrical and Electronic Engineering,Faculty of Engineering,Kobe University
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Kako Fujio
Department Of Electrical Engineering Kobe University
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Kako Fujio
Department Of Applied Mathematics Faculty Of Engineering Hiroshima University
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