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Wrinkling hierarchy in constrained thin sheets from suspended graphene to curtains
constrained thin sheets suspended graphene curtains
2010/12/28
The drive towards miniaturization in technology is demanding for increasingly thinner components,raising new mechanical challenges [1]. Thin lms are however unstable to boundary or substrate-induced ...
The $(N,M)$-bigraded Toda hierarchy is an extension of the original Toda lattice hierarchy. The pair of numbers $(N,M)$ represents the band structure of the Lax matrix which has $N$ upper and $M$ lowe...
The extended Toda hierarchy of Carlet, Dubrovin and Zhang is reconsidered in the light of a 2+1D extension of the 1D Toda hierarchy constructed by Ogawa. These two extensions of the 1D Toda hierarchy ...
The Discrete and Continuous Painleve VI Hierarchy and the Garnier Systems
Painleve VI Hierarchy the Garnier Systems
2010/11/2
We present a general scheme to derive higher-order members of the Painleve VI (PVI) hierarchy of ODE's as well as their difference analogues. The derivation is based on a discrete structure that sits...