**8. Conclusions**

In summary, this paper introduces the 2D-ICSM, which is a new hyperchaotic map designed using the 1D infinite collapse model as seed. The fixed points of certain parameters of the 2D-ICSM have been calculated, and then the stability of these points was analyzed by the graphical method. Performance evaluations including Lyapunov exponents, bifurcation diagram, cross-correlation coefficient, phase space diagram, NIST-800-22 randomness test, and Sample Entropy algorithm showed that the 2D-ICSM has a wide hyperchaotic range, high sensitivity, good ergodicity, sufficient level of randomness, and extreme complexity performance. Therefore, the 2D-ICSM could be an ideal source for many chaos-based practical applications. To demonstrate the efficiency of 2D-ICSM, we proposed a secure communication system, which is designed to transmit a message between two points. The input message is modulated using a simple Delta modulator and then encrypted using the 2D-ICSM. In the receiver side, the 2D-ICSM along with Delta demodulation are employed to retrieve the original message. It is crucial to state that the transmitted message by the proposed communication system could be an image, a text, or a sound. Simulation and empirical results have verified the efficiency and simplicity of the proposed secure communication system.

**Author Contributions:** Conceptualization, N.M.G.A.-S. and D.Y.; methodology, H.N.; software, H.N. and D.Y.; validation, M.A.A. and Z.M.; writing–original draft preparation, N.M.G.A.-S. and H.N.; writing–review and editing, M.R.K.A.; supervision, M.R.K.A.; project administration, M.R.K.A.; funding acquisition, M.R.K.A. All authors have read and agreed to the published version of the manuscript.

**Funding:** This research received no external funding.

**Conflicts of Interest:** The authors declare no conflicts of interest.
