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A Jordan algebra and dynamic system with associator as vector field

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Publication:1609302
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DOI10.1016/S0020-7462(99)00027-XzbMath1006.70015MaRDI QIDQ1609302

Chein-Shan Liu

Publication date: 15 August 2002

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)


zbMATH Keywords

Lie bracketJordan algebranon-associative algebraassociatorgeneralized Hamiltonian systemconservative forcedissipative forcedegenerate Riemannian metricsingular non-canonical metric


Mathematics Subject Classification ID

Hamilton's equations (70H05) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45)


Related Items (5)

A global domain/boundary integral equation method for the inverse wave source and backward wave problems ⋮ A multiple-direction Trefftz method for solving the multi-dimensional wave equation in an arbitrary spatial domain ⋮ A globally optimal tri-vector method to solve an ill-posed linear system ⋮ A Lie-group \(\mathrm{DSO}(n)\) method for nonlinear dynamical systems ⋮ An optimal tri-vector iterative algorithm for solving ill-posed linear inverse problems






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