Verifying computer solutions to discrete-time dynamical systems

Chaotic dynamical systems exhibit sensitive dependence on initial conditions. Round-off errors introduced in computer simulations may cause a computed orbit to quickly diverge from the true orbit. One may therefore question the validity of these computations. Shadowing provides a means for studyi...

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Bibliographic Details
Main Author: Urminsky, David John
Format: Others
Language:English
Published: 2009
Online Access:http://hdl.handle.net/2429/10521