Cryptanalyzing an image encryption scheme based on logistic map

Recently, an image encryption scheme based on logistic map was proposed. It has been reported by a research group that its equivalent secret key can be reconstructed with only one pair of known-plaintext and the corresponding cipher-text. Utilizing stable distribution of the chaotic states generated by iterating the logistic map, this paper further demonstrates that much more information about the secret key can be derived under the same condition.