The spectrum of an invariant submanifold

The Boundary of an Affine Invariant Submanifold

Invariant Submanifold Flows

Given a Lie group acting on a manifold, our aim is to analyze the evolution of differential invariants under invariant submanifold flows. The constructions are based on the equivariant method of moving frames and the induced invariant variational bicomplex. Applications to integrable soliton dynamics, and to the evolution of differential invariant signatures, used in equivalence problems and ob...

Invariant submanifold for series arrays of Josephson junctions.

We study the nonlinear dynamics of series arrays of Josephson junctions in the large-N limit, where N is the number of junctions in the array. The junctions are assumed to be identical, overdamped, driven by a constant bias current, and globally coupled through a common load. Previous simulations of such arrays revealed that their dynamics are remarkably simple, hinting at the presence of some ...

Formal Linearization of Lie Algebras of Vector Fields near an Invariant Submanifold*

an investigation about the relationship between insurance lines and economic growth; the case study of iran

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