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We study the dynamical behaviour of the galactic black hole source GX 339-4during 2002-2011 outbursts using RXTE, Swift(XRT), XMM-Newton(PN) archivaldata. We present the spectral evolution of the source using four outbursts dataand discuss their similarities/differences between outbursts. We infer that thesecond peak in 2002/03 and 2004/05 outbursts can be due to a second instant oftriggered instability in the accretion disc due to irradiation from the centralX-ray source after peak-I. This propagates in viscous time scale and takes~80-90 days after peak-I to produce peak-II. This unifies all four outburstshaving a long rising time of ~90 days. The dynamical evolution of accretionparameters have been studied by modeling the individual observed spectrum withtwo-component accretion disc model where a Keplerian accretion disc producesthe soft photons and the hard part of the spectrum originates from a hotsub-Keplerian central corona. A generic mathematical model has been proposed tounderstand the evolution of accretion parameters for sources like GX 339-4which have longer rising time. Also, the possible differences of physicalscenario for outbursts with shorter rising time are also discussed.

Study of the long-term evolution of the accretion dynamics of GX 339-4