Current Search: Van der Vorst, R.C.A.M. (x)
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Title
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A computational approach analyzing global dynamics.
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Creator
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Kasti, Dinesh, Van der Vorst, R.C.A.M., Kalies, William D., Graduate College
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Abstract/Description
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We describe the lattice structure of attractors in a dynamical system and the lifting of sublattices of attractors, which are computationally less accessible, to lattices of forward invariant sets and attracting neighborhoods, which are computationally accessible. We also show how the use of these algebraic structures of lattices to help us to capture the information about underlying dynamical system in a more elegant way and with lesser computational cost. For example, they can be used to...
Show moreWe describe the lattice structure of attractors in a dynamical system and the lifting of sublattices of attractors, which are computationally less accessible, to lattices of forward invariant sets and attracting neighborhoods, which are computationally accessible. We also show how the use of these algebraic structures of lattices to help us to capture the information about underlying dynamical system in a more elegant way and with lesser computational cost. For example, they can be used to develop a much efficient algorithm to compute a global lyapunov function that describes the overall gradient dynamics.
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Date Issued
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2015
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PURL
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http://purl.flvc.org/fau/fd/FA00005888
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Format
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Document (PDF)
