Hassan F. el-Nashar

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We study a model of coupled oscillators with bidirectional first nearest neighbors coupling with periodic boundary conditions. We show that a stable phase-locked solution is decided by the oscillators at the borders between the major clusters, which merge to form a larger one of all oscillators at the stage of complete synchronization. We are able to locate(More)
We investigate synchronization in a Kuramoto-like model with nearest neighbor coupling. Upon analyzing the behavior of individual oscillators at the onset of complete synchronization, we show that the time interval between bursts in the time dependence of the frequencies of the oscillators exhibits universal scaling and blows up at the critical coupling(More)
We study the synchronization of N nearest neighbors coupled oscillators in a ring. We derive an analytic form for the phase difference among neighboring oscillators which shows the dependency on the periodic boundary conditions. At synchronization, we find two distinct quantities which characterize four of the oscillators, two pairs of nearest neighbors,(More)
We introduce a ballistic deposition model for two kinds of particles (active and inactive) in (2+1) dimensions upon introducing surface diffusion for the inactive particles. A morphological structural transition is found as the probability of being the inactive particle increases. This transition is well defined by the change in the behavior of the surface(More)
Paulsamy Muruganandam, 2 Fernando F. Ferreira, Hassan F. El-Nashar, and Hilda A. Cerdeira 6 School of Physics, Bharathidasan University, Palkalaiperur, Tiruchirappalli – 620024, India Instituto de F́ısica Teórica, Universidade Estadual Paulista, R. Pamplona 145, 01405-900 São Paulo, Brazil Grupo Interdisciplinar de F́ısica da Informação e Economia (GRIFE),(More)
We investigate a system of coupled phase oscillators with nearest neighbors coupling in a chain with fixed ends. We find that the system synchronizes to a common value of the time-averaged frequency, which depends on the initial phases of the oscillators at the ends of the chain. This time-averaged frequency decays as the coupling strength increases. Near(More)
The kinetics and morphology of surface growth are studied for a ballistic deposition model with two kinds of particles ~A and C! in 111 and 211 dimensions. A morphological structural transition is found as the probability of being a particle C increases. This transition is well defined by the different behavior of the surface width when it is plotted versus(More)