Control and synchronization of Julia sets of discrete fractional Ising models

Xiaoling Lu and Weihua Sun

Chaos, Solitons & Fractals, 2024, vol. 180, issue C

Abstract: The discrete fractional complex dynamic system generated by the renormalization transformation corresponding to Ising model on a two-dimensional equilateral triangular lattice is introduced in this paper. Then the Julia set of the fractional system is defined, and the controller based on a coordinate transformation is designed to control the Julia set. In addition, two nonlinear coupling controllers are constructed to achieve the synchronization of Julia sets of two discrete fractional systems with different parameters and different orders. The simulation diagrams are given to verify the efficacy of controllers.

Keywords: Fractional system; Julia set; Control; Synchronization (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:180:y:2024:i:c:s0960077924000924

DOI: 10.1016/j.chaos.2024.114541

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