Deformed Hamiltonian vector fields and Lagrangian fibrations David S. Tourigny

JOURNAL OF GEOMETRY AND PHYSICS

卷:121

Article

Tourigny, David S.¹ 

[1] Univ Cambridge, Dept Appl Math & Theoret Phys, Wilberforce Rd, Cambridge CB3 0WA, England

关键词: Symplectic geometry;    Dissipative systems;    Dynamical systems;   

DOI  :  10.1016/j.geomphys.2017.07.017

来源: Elsevier

【 摘 要 】

Certain dissipative physical systems closely resemble Hamiltonian systems in lien, but with the canonical equation for one of the variables in each conjugate pair rescaled by a real parameter. To generalise these dynamical systems to symplectic manifolds in this paper we introduce and study the properties of deformed Hamiltonian vector fields on Lagrangian fibrations. We describe why these objects have some interesting applications to symplectic geometry and discuss how their physical interpretation motivates new problems in mathematics. (C) 2017 Elsevier B.V. All rights reserved.

【 授权许可】

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