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20142021
most citedDegenerate Kalman filter error covariances and their convergence onto the unstable subspace

43 citations · 72 across the 6 of their papers we have counts for

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math.DS2015

The Instability of the Hocking-Stewartson Pulse and its Geometric Phase in the Hopf Bundle

Colin Grudzien

This work demonstrates an innovative numerical method for counting and locating eigenvalues with the Evans function. Utilizing the geometric phase in the Hopf bundle, the technique…

math.DS2014★ 1 cited

Finding Eigenvalues the Rupert Way

Colin J. Grudzien, Tom J. Bridges, Christopher K. R. T. Jones

We develop a stability index for the travelling waves of non-linear reaction diffusion equations using the geometric phase induced on the Hopf bundle $S^{2n-1} \subset \mathbb{C}^n…