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Title: A study of discrete nonlinear systems
Author: Dhillon, Harkinder Singh
ISNI:       0000 0001 3423 2844
Awarding Body: Loughborough University
Current Institution: Loughborough University
Date of Award: 2001
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An investigation of various spatially discrete time-independent non-linear models was undertaken. These models are generically applicable to many different physical systems including electron–phonon interactions in solids, magnetic multilayers, layered superconductors and classical lattice systems. To characterise the possible magnetic structures created on magnetic multilayers a model has been formulated and studied. The Euler–Lagrange equation for this model is a discrete version of the Sine–Cordon equation. Solutions of this equation are generated by applying the methods of Chaotic Dynamics—treating the space variable associated with the layer number as a discrete time variable. The states found indicate periodic, quasi-periodic and chaotic structures.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available