Solitons, spatiotemporal chaos and synchronization in arrays of damped driven nonlinear oscillators
Master Thesis
2008
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University of Cape Town
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Abstract
Simulating the homogeneous chain, we demonstrate the existance of periodically oscillating solitons, the period-doubling sequence of transitions to temporal chaos and the degeneration into spatiotemporal chaos for larger driving strengths. Next, we explore the effect of introducing weak disorder in the simplest form, a single impurity, into the chain. We describe how a long impurity can induce a pinned soliton to form and prevent spatiotemporal chaos, synchronizing the oscillators in the chain. Lastly we study chains with several impurities in various configurations.
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Includes bibliographical references (p. 91-95).
Reference:
Robinson, W. 2008. Solitons, spatiotemporal chaos and synchronization in arrays of damped driven nonlinear oscillators. University of Cape Town.