Home

About

Advanced Search

Browse by Discipline

Scientific Societies

E-print Alerts

Add E-prints

E-print Network
FAQHELPSITE MAPCONTACT US


  Advanced Search  

 
VOLUME 80, NUMBER 10 P H Y S I C A L R E V I E W L E T T E R S 9 MARCH 1998 Master Stability Functions for Synchronized Coupled Systems
 

Summary: VOLUME 80, NUMBER 10 P H Y S I C A L R E V I E W L E T T E R S 9 MARCH 1998
Master Stability Functions for Synchronized Coupled Systems
Louis M. Pecora and Thomas L. Carroll
Code 6343, Naval Research Laboratory, Washington, D.C. 20375
(Received 7 July 1997)
We show that many coupled oscillator array configurations considered in the literature can be
put into a simple form so that determining the stability of the synchronous state can be done by
a master stability function, which can be tailored to one's choice of stability requirement. This
solves, once and for all, the problem of synchronous stability for any linear coupling of that oscillator.
[S0031-9007(98)05387-3]
PACS numbers: 05.45.+b, 84.30.Ng
A particularly interesting form of dynamical behavior
occurs in networks of coupled systems or oscillators
when all of the subsystems behave in the same fashion;
that is, they all do the same thing at the same time.
Such behavior of a network simulates a continuous
system that has a uniform movement, models neurons
that synchronize, and coupled synchronized lasers and
electronic circuit systems. A central dynamical question
is: When is such synchronous behavior stable, especially

  

Source: Andrzejak, Ralph Gregor - Departament de Tecnologia, Universitat Pompeu Fabra

 

Collections: Computer Technologies and Information Sciences