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Complex Patterns in Oscillatory Systems

Description:

Motivated by the rich variety of complex patterns observed on the surface of fluid layers that are vibrated at multiple frequencies, we investigate the effect of such resonant forcing on systems undergoing a Hopf bifurcation to spatially homogeneous oscillations. We use an extension of the complex Ginzburg-Landau equation (CGLE) that...

Keyword:

nonlinear dynamics, superlattice patterns, resonant forcing, oscillatory systems, pattern formation, and multiple frequency forcing

Subject:

Applied Mathematics

Creator:

Jessica Maral Conway

Owner:

Scholarly Digital Publishing

Date Uploaded:

09/13/2018

Date Modified:

09/13/2018

Date Created:

2008-08-26

Resource Type:

Dissertation