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This paper establishes three constructive theorems which are to achieve generalized chaos synchronization (GCS) for non-autonomously discrete time chaotic systems. The theorems uncover the general forms of two GCS non-autonomously discrete time chaotic systems by a prescribed transformation. Numerical simulation examples are given to illustrate the effectiveness of the proposed theorems.
Abstract-based on a constructive theorem of generalized synchronization (GS) for discrete-time chaos system (DTCS), a GS DTCS is constructed via a Henon-like map. A new DTCS-based pseudorandom number generator (PNG) is introduced. The FIPS 140-2 randomness tests show that the PNG has good pseudo-randomness. Combining the DTCS and the PNG, an image encryption scheme with digital signature is established...
Based on the two-dimensional Arnold's cat map, and a generalized chaos synchronization (GCS) theorem, this paper presents a new six-dimensional discrete chaos map (6DCM) with GCS property. A chaos-based pseudorandom number generator (CPNG) is designed based on the 6DCM. We use the FIPA-140-2 tests issued by the National Institute of Standard and Technology to verify the random properties of the binary...
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