This study investigates the characteristic behavior of disturbances on the interface of a needle crystal, Ivantsove parabola, based on an asymptotic analysis as well as a numerical study. Focusing on tip growth and width behavior, we examine anisotropy in surface energy, initial strength of the disturbances. It is found that the characteristics of a tip growth depends on the distance away from dendrite tip. The constant wave-length, o, suggests that the possiblity of the existence of an attractor in o. An evolution of finger competition between two disturbances with different initial...