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cs.RO2003★ 1 cited
State complexes for metamorphic robots
A. Abrams, R. Ghrist
A metamorphic robotic system is an aggregate of homogeneous robot units which can individually and selectively locomote in such a way as to change the global shape of the system. W…
math.DS2003
Generic hydrodynamic instability of curl eigenfields
John B. Etnyre, Robert Ghrist
We prove that for generic geometry, the curl-eigenfield solutions to the steady Euler equations on the three torus are all hydrodynamically unstable (linear, L^2 norm). The proof i…
math.GT2003
Flowlines transverse to fibred knots and links
R. Ghrist, E. Kin
We consider vector fields on knot/link complements in which are transverse to the fibres of a fibration of the complement over a circle. We prove that a large class of fibred…