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The influence of connectivity on the global dynamics of nonlinear oscillator ensembles
| Title: | The influence of connectivity on the global dynamics of nonlinear oscillator ensembles. |
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| Name(s): |
Rogers, Jeffrey L. Florida Atlantic University, Degree grantor Wille, Luc T., Thesis advisor |
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| 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. |
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| Subject(s): |
Nonlinear oscillators Coupled mode theory Physics--Data processing Parallel processing (Electronic computers) |
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| 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. |
