Control of Julia Sets in Generalized Alternated System | Zendy

Wang Pei | Zendy; Liu Shutang | Zendy

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Control of Julia Sets in Generalized Alternated System

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.1317

Subject(s) - julia set , correctness , computer science , synchronization (alternating current) , set (abstract data type) , graphics , algorithm , control (management) , control theory (sociology) , mathematics , artificial intelligence , computer graphics (images) , programming language , combinatorics , computer network , channel (broadcasting)

In this paper, we first introduce the generalized alternated system. The definition of the Julia set in the generalized alternated system is given, which is called a generalized alternated Julia set. Then, we achieve the control of generalized alternated Julia sets by applying the classic control methods, which are gradient control and optimal control. In addition, the synchronization between two different generalized alternated Julia sets is implemented using gradient control and optimal control. The simulations illustrate the effectiveness and correctness of these two control methods, and the results are displayed in 2D computer graphics.

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