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Chaos synchronization of fractional–order discrete–time systems with different dimensions using two scaling matrices

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Abstract In this paper, we study the synchronization of fractional–order discrete–time chaotic systems by means of two scaling matrices Θ and Φ. The considered synchronization scheme can be tailored to… Click to show full abstract

Abstract In this paper, we study the synchronization of fractional–order discrete–time chaotic systems by means of two scaling matrices Θ and Φ. The considered synchronization scheme can be tailored to encompass several types of classical synchronization types. We proposed two nonlinear control strategies for the Θ–Φ synchronization of an m–dimensional drive system and an n–dimensional response system, whereby the synchronization dimension d = m and d = n, respectively. Numerical examples are presented to test the findings of the study.

Keywords: discrete time; fractional order; two scaling; order discrete; synchronization fractional; synchronization

Journal Title: Open Physics
Year Published: 2019

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