Hessian–information geometric formulation of Hamiltonian systems and generalized Toda’s dual transform

DOI10.1088/1751-8121/aacbdfzbMath1430.37073arXiv1801.04759OpenAlexW3101463543WikidataQ55950362 ScholiaQ55950362MaRDI QIDQ4689467

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Publication date: 16 October 2018

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.04759

zbMATH Keywords

Legendre transformToda latticeinformation geometryHamilton mechanicsHessian geometry

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Special quantum systems, such as solvable systems (81Q80)

Cites Work

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• Hessian Structures on Deformed Exponential Families
• An alternative formulation of classical mechanics based on an analogy with thermodynamics
• Legendre submanifolds in contact manifolds as attractors and geometric nonequilibrium thermodynamics

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