They obtained some criteria to guarantee the global stability and applied the theoretical results to coupled oscillators
, epidemic models and predator-prey models.
Pikovsky, "Controlling synchronization in an ensemble of globally coupled oscillators
," Physical Review Letters, vol.
It means that the coupled oscillators
split into subgroups called clusters, and all the oscillators in the same cluster behave in the same fashion.
In the field of electronic communication, coupled oscillators
play important roles in generating spectrally pure signals, combining power of signals from different sources, coherent modulation and detection process, chaos generation etc.
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).
One such concept is synchronisation and biologically coupled oscillators
Non-linear dynamics of a system of coupled oscillators
with essential stiffness nonlinearities, International Journal of Non-linear Mechanics 39: 1079-1091.
The high-performance QVCO uses two p-core Colpitts n-cross coupled oscillators
and a ring LC resonator to form the QVCO circuit.
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
. With an emphasis on systematic composition of the whole design procedure, chapters include transistor models, large-signal S-parameters, resonator choices, calculation & optimization of noise in oscillators, validation circuits for wideband resonator VCOs, and more.
 presented a model for the analysis of pulse coupled oscillators
. As they described it: in some systems synchronization starts at a certain location and expands forming clusters.