Phase Synchronization In Three-dimensional Lattices And Globally Coupled Populations Of Nonidentical Rossler Oscillators

A study on phase synchronization in large populations of nonlinear dynamical systems is presented in this thesis. Using the well-known Rossler system as a prototypical model, phase synchronization in one oscillator with periodic external forcing and in two-coupled nonidentical oscillators was explored at first. The study was further extended to consider three-dimensional lattices and globally coupled populations of nonidentical oscillators, in which the mathematical formulation that represents phase synchronization in the generalized N-coupled Rossler system was derived and several computer programs that perform numerical simulations were developed. The results show the effects of coupling dimension, coupling strength, population size, and system parameter on phase synchronization of the various Rossler systems, which may be applicable to studying phase synchronization in other nonlinear dynamical systems as well.

Author dc:creator

• Qi, Limin

Contributors dc:contributor

• Schober, Constance

• phase synchronization
• Rossler system
• chaotic oscillator
• periodic oscillator
• Mathematics

Language dc:language

English

Identifier

CFE0000776

OAI identifier oai:identifier

oai:stars.library.ucf.edu:etd-1604