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Optimal Control and Synchronization of Alternated Julia Sets
Author(s) -
Wang Pei,
Liu Shutang
Publication year - 2016
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.1258
Subject(s) - julia set , synchronization (alternating current) , plane (geometry) , computer science , algorithm , control (management) , control theory (sociology) , topology (electrical circuits) , mathematics , artificial intelligence , combinatorics , geometry
In this paper, spatial‐alternated Julia sets are discussed, which are obtained by alternating the spatial‐alternated system, and plane‐alternated Julia sets are discussed, which are obtained by alternating the plane‐alternated system. The control of spatial‐alternated Julia sets and plane‐alternated Julia sets is achieved via the optimal control. Moreover, the synchronization of two different plane‐alternated Julia sets is implemented via the optimal control. The simulations illustrate the effectiveness of the control method.