{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,19]],"date-time":"2026-02-19T02:13:33Z","timestamp":1771467213866,"version":"3.50.1"},"reference-count":37,"publisher":"World Scientific Pub Co Pte Lt","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2000,2]]},"abstract":"<jats:p> The stability of the state of motion in which a collection of coupled oscillators are in identical synchrony is often a primary and crucial issue. When synchronization stability is needed for many different configurations of the oscillators the problem can become computationally intense. In addition, there is often no general guidance on how to change a configuration to enhance or diminsh stability, depending on the requirements. We have recently introduced a concept called the Master Stability Function that is designed to accomplish two goals: (1) decrease the numerical load in calculating synchronization stability and (2) provide guidance in designing coupling configurations that conform to the stability required. In doing this, we develop a very general formulation of the identical synchronization problem, show that asymptotic results can be derived for very general cases, and demonstrate that simple oscillator configurations can probe the Master Stability Function. <\/jats:p>","DOI":"10.1142\/s0218127400000189","type":"journal-article","created":{"date-parts":[[2002,7,27]],"date-time":"2002-07-27T11:04:45Z","timestamp":1027767885000},"page":"273-290","source":"Crossref","is-referenced-by-count":104,"title":["SYNCHRONIZATION STABILITY IN COUPLED OSCILLATOR ARRAYS: SOLUTION FOR ARBITRARY CONFIGURATIONS"],"prefix":"10.1142","volume":"10","author":[{"given":"LOU","family":"PECORA","sequence":"first","affiliation":[{"name":"Code 6343, Naval Research Laboratory,  Washington DC 20375, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"TOM","family":"CARROLL","sequence":"additional","affiliation":[{"name":"Code 6343, Naval Research Laboratory,  Washington DC 20375, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"GREGG","family":"JOHNSON","sequence":"additional","affiliation":[{"name":"Code 5673, Naval Research Laboratory,  Washington DC 20375, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"DOUG","family":"MAR","sequence":"additional","affiliation":[{"name":"Biomedical Engineering Department and  Center for Biodynamics, Boston University,  Boston MA 02215, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"KENNETH S.","family":"FINK","sequence":"additional","affiliation":[{"name":"Physics Department, Columbia U., New York  , USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2012,5,2]]},"reference":[{"key":"p_1","first-page":"795","volume":"29","author":"Afraimovich V. 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