SOME CONSTRUCTIONS OF INTEGRABLE DYNAMICAL SYSTEMS

DOI10.1070/IM1988v031n01ABEH001043zbMath0695.34045OpenAlexW88388700MaRDI QIDQ3470759

Oleg I. Bogoyavlenskij

Publication date: 1988

Published in: Mathematics of the USSR-Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im1988v031n01abeh001043

zbMATH Keywords

first integralsintegrable dynamical systemsLax's form

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10)

Related Items (18)

INTEGRABLE DISCRETIZATIONS FOR LATTICE SYSTEM: LOCAL EQUATIONS OF MOTION AND THEIR HAMILTONIAN PROPERTIES ⋮ Hungry Lotka–Volterra lattice under nonzero boundaries, block‐Hankel determinant solution, and biorthogonal polynomials ⋮ Integrable deformations of the Bogoyavlenskij-Itoh Lotka-Volterra systems ⋮ Dynamics and interpretation of some integrable systems via matrix orthogonal polynomials ⋮ On classification of discrete, scalar-valued Poisson brackets ⋮ The structure of the \(W_ \infty\) algebra ⋮ Generalized Volterra lattices: binary Darboux transformations and self-consistent sources ⋮ A generalization of the Lax equation ⋮ Explicit solutions of the coupled Bogoyavlensky lattice 1(2) Hierarchy ⋮ Leading order integrability conditions for differential-difference equations ⋮ Integrable reductions of the dressing chain ⋮ A new class of integrable Lotka-Volterra systems ⋮ Algorithm for solving the Cauchy problem for one infinite-dimensional system of nonlinear differential equations ⋮ Dynamics and interpretation of some integrable systems via multiple orthogonal polynomials ⋮ Stieltjes continued fraction and QD algorithm: scalar, vector, and matrix cases ⋮ Matrix Hermite-Padé problem and dynamical systems ⋮ Algebro-geometric quasi-periodic solutions to the Bogoyavlensky lattice 2(3) equations ⋮ Decoding algorithm as a moment problem related to the extended Lotka–Volterra system

This page was built for publication: SOME CONSTRUCTIONS OF INTEGRABLE DYNAMICAL SYSTEMS