Solitons, spatiotemporal chaos and synchronization in arrays of damped driven nonlinear oscillators

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.

Grantor dc:publisher.institution

Department of Mathematics and Applied Mathematics

Year dc:date.issued

2008

Author dc:creator

• Robinson, William Michael Lewin

Advisors dc:contributor.advisor

• Barashenkov, Igor
• Alexeeva, Nora

Language dc:language.iso

eng

Handle dc:identifier.uri

http://hdl.handle.net/11427/4927

OAI identifier oai:identifier

oai:open.uct.ac.za:11427/4927