Abstract
This paper proposes a modification of the controlled chaotic Henon system suggested in [Li et al., 2004]. The dynamics of the proposed and existing 2-D systems are analyzed and new chaotic attractors are found in them. We show that these systems exhibit chaotic behavior for a wide range of control parameters. We also construct a chaotic modulation scheme with feedback based on a single controlled chaotic Henon system for use in cryptographic applications. The efficiency of this communication scheme is analyzed and is shown to provide a high level of security, resulting from the proper use of controllers. Furthermore, we propose a technique for generating random-like binary digits from the suggested controlled chaotic Henon systems. Unlike binary digits generated by chaotic Henon systems which usually do not possess random-like properties, the digits generated here are shown (numerically using the NIST statistical test suite) to possess excellent random-like properties. Furthermore, the generated bit sequences are demonstrated to have a large period, which may have useful applications in cryptography.
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