You are here

The influence of connectivity on the global dynamics of nonlinear oscillator ensembles

Download pdf | Full Screen View

Date Issued:
1994
Summary:
In this thesis we have studied the global dynamics which spontaneously emerge in ensembles of interacting disparate nonlinear oscillators. Collective phenomena exhibited in these systems include synchronization, quasiperiodicity, chaos, and death. Exact analytical solutions are presented for two and three coupled oscillators with phase and amplitude variations. A phenomenon analogous to a phase-transition is found as a function of interaction-range in a one-dimensional lattice: for coupling exponents larger than some critical value, alpha c, synchronization is shown to be impossible. Massively parallel computer simulations in conjunction with finite-size scaling were used to extrapolate to the infinite-size limit.
Title: The influence of connectivity on the global dynamics of nonlinear oscillator ensembles.
0 views
0 downloads
Name(s): Rogers, Jeffrey L.
Florida Atlantic University, Degree grantor
Wille, Luc T., Thesis advisor
Type of Resource: text
Genre: Electronic Thesis Or Dissertation
Date Issued: 1994
Publisher: Florida Atlantic University
Place of Publication: Boca Raton, Fla.
Physical Form: application/pdf
Extent: 104 p.
Language(s): English
Summary: In this thesis we have studied the global dynamics which spontaneously emerge in ensembles of interacting disparate nonlinear oscillators. Collective phenomena exhibited in these systems include synchronization, quasiperiodicity, chaos, and death. Exact analytical solutions are presented for two and three coupled oscillators with phase and amplitude variations. A phenomenon analogous to a phase-transition is found as a function of interaction-range in a one-dimensional lattice: for coupling exponents larger than some critical value, alpha c, synchronization is shown to be impossible. Massively parallel computer simulations in conjunction with finite-size scaling were used to extrapolate to the infinite-size limit.
Identifier: 15031 (digitool), FADT15031 (IID), fau:11809 (fedora)
Note(s): Charles E. Schmidt College of Science
Thesis (M.S.)--Florida Atlantic University, 1994.
Subject(s): Nonlinear oscillators
Coupled mode theory
Physics--Data processing
Parallel processing (Electronic computers)
Held by: Florida Atlantic University Libraries
Persistent Link to This Record: http://purl.flvc.org/fcla/dt/15031
Sublocation: Digital Library
Use and Reproduction: Copyright © is held by the author, with permission granted to Florida Atlantic University to digitize, archive and distribute this item for non-profit research and educational purposes. Any reuse of this item in excess of fair use or other copyright exemptions requires permission of the copyright holder.
Use and Reproduction: http://rightsstatements.org/vocab/InC/1.0/
Host Institution: FAU
Is Part of Series: Florida Atlantic University Digital Library Collections.