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In this paper, we propose a fusion technique for image encryption combining two maps and generate a new optimized map by fusing Hartley and Duffing chaotic oscillators. In order to measure and quantify the amount of chaos present in data sequences, the resultant map is tested by a new method of nonlinear time series analysis. This test ensures its robustness during its use to construct an encrypted image when combined with some mathematical function that we have designed. The cryptosystem was tested on images such as Lena, Barbara, Mandrill, and Man. The results were compared to those in the literature and proved satisfactory.

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