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Work3

Resource type

Dissertation[remove]3

Creator

Jessica Maral Conway1
Stiadle, Thomas Isaac1
Zhang, Yuanzhao1

Keyword

nonlinear dynamics[remove]3
chimeras1
complex systems1
computational ecology1
cyclic ecosystems1
more Keywords »

Subject

Applied mathematics2
Applied Mathematics1
Ecology1
Statistical physics1
Systems science1

Language

en2

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Dominance and Spatiotemporal Behavior in Cyclic Ecological Systems

Description:

Deterministic models are used to explain and predict the dynamics of ecosystems featuring cyclic competition schemes. The models are systems of reaction-diffusion partialdifferential equations that account for species mobility via Fickian diffusion and interspecies interactions according to the competition scheme. Length and temporal scales are chosen to be appropriate for...

Keyword:

cyclic ecosystems, nonlinear dynamics, rock-paper-scissors, traveling waves, exceptional species, and computational ecology

Subject:

Ecology and Applied mathematics

Creator:

Stiadle, Thomas Isaac

Owner:

Scholarly Digital Publishing

Language:

en

Date Uploaded:

02/16/2023

Date Created:

2022-01-01

Resource Type:

Dissertation

Alternate Identifier:

etdadmin_upload_946682 and http://dissertations.umi.com/northwestern:16361
Symmetry, Synchronization, and Switching Chimeras

Description:

There is a rich history on the study of the interplay between symmetry and synchronization in networks. At the most fundamental level, many synchronization patterns are induced by underlying network symmetries. However, when stability is taken into account, the relation between symmetry and synchronization is far from monotonic. In this...

Keyword:

complex systems, nonlinear dynamics, networks, chimeras, symmetry, and synchronization

Subject:

Applied mathematics, Statistical physics, and Systems science

Creator:

Zhang, Yuanzhao

Owner:

Scholarly Digital Publishing

Language:

en

Date Uploaded:

02/01/2021

Date Created:

2020-01-01

Resource Type:

Dissertation

Alternate Identifier:

etdadmin_upload_764987 and http://dissertations.umi.com/northwestern:15288
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

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