Learning port-Hamiltonian systems -- algorithms

DOI10.1134/s0965542523010104zbMath1516.70020arXiv2207.07124OpenAlexW4303939328MaRDI QIDQ6039148

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Publication date: 3 May 2023

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.07124

zbMATH Keywords

symbolic computationHamiltonian structurecomputer algebrasymplectic structurePoisson geometrymachine learning method

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Learning and adaptive systems in artificial intelligence (68T05) Computational methods for problems pertaining to mechanics of particles and systems (70-08) Hamilton's equations (70H05) Numerical methods for Hamiltonian systems including symplectic integrators (65P10)

Cites Work

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• An intrinsic Hamiltonian formulation of network dynamics: Non-standard Poisson structures and gyrators
• Integrable deformations of the Bogoyavlenskij-Itoh Lotka-Volterra systems
• Generalized and graded geometry for mechanics: a comprehensive introduction
• Differential geometry and mechanics: a source for computer algebra problems

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