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The accretion disk around a compact object is a nonlinear generalrelativistic system involving magnetohydrodynamics. Naturally the questionarises whether such a system is chaotic (deterministic) or stochastic (random)which might be related to the associated transport properties whose origin isstill not confirmed. Earlier, the black hole system GRS 1915+105 was shown tobe low dimensional chaos in certain temporal classes. However, so far suchnonlinear phenomena have not been studied fairly well for neutron stars whichare unique for their magnetosphere and kHz quasi-periodic oscillation (QPO). Onthe other hand, it was argued that the QPO is a result of nonlinearmagnetohydrodynamic effects in accretion disks. If a neutron star exhibitschaotic signature, then what is the chaotic/correlation dimension? We analyzeRXTE/PCA data of neutron stars Sco X-1 and Cyg X-2, along with the black holeCyg X-1 and the unknown source Cyg X-3, and show that while Sco X-1 and Cyg X-2are low dimensional chaotic systems, Cyg X-1 and Cyg X-3 are stochasticsources. Based on our analysis, we argue that Cyg X-3 may be a black hole.Comment: 9 pages including 6 figures; to appear in The Astrophysical Journa

SEARCH FOR CHAOS IN NEUTRON STAR SYSTEMS: IS Cyg X-3 A BLACK HOLE?