Understanding the dynamics of oscillatory units with complicated interaction is the main goal of GECO: what are the features of networks of coupled oscillators
with generalized coupling Of particular interest symmetric and near-symmetric systems.
Wilson (2006) have modeled conversational turn-taking based on coupled oscillators, and Benus tested this model against a database of conversational American English (Benus 2009; Benus, Gravano, Hirschberg 2011).
The next step in our investigation will be to use the Coupled Oscillator Model (COM (O'Dell, Nieminen 2009)) to allow multiple, dynamically varying rhythms.
Written for an audience of RF microwave engineers and graduate-level students, this text covers important parts of oscillator development: from fundamentals, device & board technology, supply noise, analysis methods, design, and optimization methodologies, to practical design of various single and coupled oscillators
CHAPTER 11: DYNAMICS OF A LARGE SET OF COUPLED OSCILLATORS
In general terms, what Huygens had serendipitously discovered was a phenomenon that came to be known as the mutual synchronization of coupled oscillators.
Having already worked out a coupled oscillator model to account for some of the swirling, cyclic patterns observed in a chemical system known as the Belousov-Zhabotinsky reaction, Kuramoto extended this mathematical framework to incorporate Winfree's ideas.
A mathematical model of wave generation in a chain of coupled oscillators
provided insights into lamprey locomotion (141:39).
It deals with the operation principles and main characteristics of free-running and injection-locked oscillators, coupled oscillators
, and parametric frequency dividers.
The researchers then studied what happens to the natural frequency of the waves in a chain of coupled oscillators
when they feed a periodic signal of a different frequency into one end, thereby forcing a new motion.
All the essential topics in oscillator design and development are covered, including: - Device and resonator technology - Study of noise sources - Analysis methods - Design, calculation, and optimization methodologies - Practical design of single and coupled oscillators While most of the current literature in the field concentrates on classic design strategies based on measurements, simulation, and optimization of output power and phase noise, this text offers a unique approach that focuses on the complete understanding of the design process.
The contents of the text fall into two major categories: - Chapters 1 through 9 deal with a very detailed and expanded single resonator oscillator, including a thorough treatment of both nonlinear analysis and phase noise - Chapters 10 and 11 use the knowledge obtained and apply it to multiple coupled oscillators (synchronized oscillators) This text is partially based on research sponsored by the Defense Advanced Research Projects Agency (DARPA) and the United States Army and conducted by Synergy Microwave Corporation.