On integrals, Hamiltonian and metriplectic formulations of polynomial systems in 3D

DOI10.2298/TAM161118001EzbMath1474.37057arXiv1608.01507OpenAlexW3099904477MaRDI QIDQ4989889

Anindya Ghose Choudhury, Oğul Esen, Partha Guha

Publication date: 27 May 2021

Published in: Theoretical and Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.01507

zbMATH Keywords

Hindmarsh-Rose modelRabinovich systemNambu-Poisson bracketsmetriplectic structurereduced three-wave interaction problemDarboux integrability method

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) General theory of finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, invariants (37J06)

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