Symplectic integrable mappings and discrete Painlevé equations

DOI10.1016/0375-9601(94)90811-7zbMath0941.37513OpenAlexW1998204721MaRDI QIDQ1964894

Toshiaki Itoh, Dong Sheng Cai

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)90811-7

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Cites Work

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• Integrable symplectic maps
• On the \(\tau \)-function of the Painlevé equations
• Integrable mappings and soliton equations
• Integrable mappings and soliton equations. II
• Weierstrass elliptic difference equations
• Discrete versions of the Painlevé equations
• Do integrable mappings have the Painlevé property?

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