integrable system

(redirected from Completely integrable system)

integrable system

[¦int·i·grə·bəl ¦sis·təm]
(mechanics)
A dynamical system whose motion is governed by an integrable differential equation.
References in periodicals archive ?
A completely integrable system (or simply an integrable system) on a 2n-dimensional symplectic manifold (M, [omega]) is a smooth map F := ([f.
The moduli space of stable rank two vector bundles with a fixed determinant of odd degree on a genus two curve admits a structure of a completely integrable system, whose moment polytope is the octahedron with vertices ([lambda], 0, 0), (0, [lambda], 0), (0, 0, [lambda]), ([lambda], [lambda], -[lambda]), ([lambda], [lambda], 0), and (0, 0, 0).
relation which can be understood as a completely integrable system of PDEs (of the second order) with the unknown function x(t), too.
which can be understood as a completely integrable system of PDE (of the second order) with the unknown function x(t), too.
They consider such topics as vanishing products of one-forms and critical points of master functions, middle convolution for completely integrable systems with logarithmic singularities along hyperplane arrangements, resonance webs of hyperplane arrangements, the homology of configuration spaces associated to centers of mass, and varieties of lines on Fermat hypersurfaces.
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