Elements of the integrability theory of discrete dynamical systems

DOI10.1007/BF01056428zbMath0635.35083MaRDI QIDQ1097418

Anatoliy K. Prykarpatsky

Publication date: 1987

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

conservation lawsintegrabilitydynamical systemdiscrete dynamical systemssymplectic structuresexact formLagrangian structureLax type representationdifferential geometrical structurediscrete Grassmann algebra compleximplectic pair

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Partial differential equations of mathematical physics and other areas of application (35Q99) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (2)

The Bargmann type reduction for some Lax integrable two-dimensional generalization of the relativistic Toda lattice ⋮ Discrete approximations on functional classes for the integrable nonlinear Schrödinger dynamical system: a symplectic finite-dimensional reduction approach

Cites Work

• Symplectic structures, their Bäcklund transformations and hereditary symmetries
• Notion of indiscernibleness and on the p-Mazur property in Banach spaces
• Nonlinear differential−difference equations
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