Abstract Chaotic systems behavior attracts many researchers in the field of image encryption. The major advantage of using chaos as the basis for developing a crypto-system is due to its sensitivity to initial conditions and parameter tunning as well as the random-like behavior which resembles the main ingredients of a good cipher namely the confusion and diffusion properties. In this article, we present a new scheme based on the synchronization of dual chaotic systems namely Lorenz and Chen chaotic systems and prove that those chaotic maps can be completely synchronized with other under suitable conditions and specific parameters that make a new addition to the chaotic based encryption systems. This addition provides a master- slave configuration that is utilized to construct the proposed dual synchronized chaos-based cipher scheme. The common security analyses are performed to validate the effectiveness of the proposed scheme. Based on all experiments and analyses, we can conclude that this scheme is secure, efficient, robust, reliable, and can be directly applied successfully for many practical security applications in insecure network channels such as the Internet.

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[27] Weng T., Yang H., Gu C., Zhang J., and Small M., “Synchronization of Chaotic Systems And Their Machine-Learning Models,” Physical Review E, vol. 99, no. 4, pp. 042203, 2019. Obaida Al-Hazaimeh is an Associate Professor of Computer Science. Now, he is a lecturer at Department of Computer Science and Information Technology. Al- Balqa' Applied University, Jordan. He has received his Ph.D. in Computer Science-Cryptography from Malaysia in 2010. Mohammad Al-Jamal is an Associate Professor of Mathematics. Now, he is a lecturer at Department of Mathematics, Yarmouk University, Jordan. He has earned his Ph.D. in Mathematics from USA in August 2012. Mohammed Bawaneh is an Associate Professor of Computer science. Now, he is a lecturer at Department of Computer Science and Information Technology. Al- Balqa' Applied University, Jordan. He has earned his Ph.D. in Computer Information Systems in 2010. Nouh Alhindawi is an Associate Professor in Computer Science & Software Engineering Departments at Jadara University, Jordan. He has received his Ph.D. in Computer Science-Software Engineering from USA in 2013. Bara’a Hamdoni received her BSc in Mathematics from Jordan University of Science and Technology in 2012, and MSc in Mathematics with specialization in Image Encryption from Yarmouk University in 2018. Appendix A. Common equations related to security analysis  ENTROPY ������(�)=∑�(��)log21 �(��) 2������−1 �=1  CORRELATION: ���=cov(�,�) √�(�)√�(�) cov(�,�)=1 ������∑(��−�(�))(��−�(�)) ������ �=1 , �(�)=1 ������∑�� ������ �=1 , �(�)=1 ������∑(�� ������ �=1 −�(�))2  DIFFERENTIALS: NPCR=1 ������ ×������

[∑�(�,�) �,� ] ×100% UACI=1 ������ ×������

[∑�1 (�,�)− �2 (�,�) 255�,� ]×100%