Control and synchronization of Julia sets of the complex dissipative standard system | Zendy

Weihua Sun | Zendy; Yongping Zhang | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Control and synchronization of Julia sets of the complex dissipative standard system

Author(s) -

Weihua Sun,

Yongping Zhang

Publication year - 2016

Publication title -

nonlinear analysis modelling and control

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.734

H-Index - 32

eISSN - 2335-8963

pISSN - 1392-5113

DOI - 10.15388/na.2016.4.3

Subject(s) - julia set , dissipative system , synchronization (alternating current) , set (abstract data type) , fractal , controller (irrigation) , computer science , complex dynamics , mathematics , control theory (sociology) , control (management) , artificial intelligence , topology (electrical circuits) , mathematical analysis , physics , combinatorics , quantum mechanics , agronomy , biology , programming language

The fractal behaviors of the complex dissipative standard system are discussed in this paper. By using the boundedness of the forward and backward orbits, Julia set of the system is introduced and visualization of Julia set is also given. Then a controller is designed to achieve Julia set shrinking or expanding with the changing of the control parameter. And synchronization of two different Julia sets is discussed by adding a coupling item, which makes one Julia set change to be the other. The simulations illustrate the efficacy of these methods.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research