In asexual reproduction there is no mating or mixing of genetics. Asexual reproduction results in a clone of the parent, meaning the offspring have identical DNA as the parent.
One way for an asexually reproducing species to get diversity is through mutations at the DNA level. If there is a mistake in mitosis, the copying of the DNA, then that mistake will be passed down to the offspring, possibly changing its traits. Some mutations do not change the phenotype—or observable characteristics—however, so not all mutations in asexual reproduction result in variations in the offspring.