Projective Synchronization of a Hyperchaotic Lorenz System

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Volume 14, Issue 1

Li Xin , Xuerong Shi and Mingjie Xu

J. Info. Comput. Sci. , 14 (2019), pp. 003-009.

[An open-access article; the PDF is free to any online user.]

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Abstract

In this paper, the dynamical behaviors and projective synchronization of a five-dimensional hyperchaotic Lorenz system are investigated. First of all, a hyperchaotic system is constructed by introducing two state variables into the Lorenz chaotic system. Secondly, the dynamical behaviors of the proposed system, such as the dissipative property and equilibrium point, are discussed. Thirdly, based on the stability theory, the projective synchronization of the systems can be achieved. Finally, some numerical simulations are given to verify the projective synchronization scheme.

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@Article{JICS-14-003, author = {Li Xin , Xuerong Shi and Mingjie Xu}, title = {Projective Synchronization of a Hyperchaotic Lorenz System}, journal = {Journal of Information and Computing Science}, year = {2019}, volume = {14}, number = {1}, pages = {003--009}, abstract = { In this paper, the dynamical behaviors and projective synchronization of a five-dimensional hyperchaotic Lorenz system are investigated. First of all, a hyperchaotic system is constructed by introducing two state variables into the Lorenz chaotic system. Secondly, the dynamical behaviors of the proposed system, such as the dissipative property and equilibrium point, are discussed. Thirdly, based on the stability theory, the projective synchronization of the systems can be achieved. Finally, some numerical simulations are given to verify the projective synchronization scheme. }, issn = {3080-180X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jics/22426.html} }

TY - JOUR T1 - Projective Synchronization of a Hyperchaotic Lorenz System AU - Li Xin , Xuerong Shi and Mingjie Xu JO - Journal of Information and Computing Science VL - 1 SP - 003 EP - 009 PY - 2019 DA - 2019/03 SN - 14 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jics/22426.html KW - AB - In this paper, the dynamical behaviors and projective synchronization of a five-dimensional hyperchaotic Lorenz system are investigated. First of all, a hyperchaotic system is constructed by introducing two state variables into the Lorenz chaotic system. Secondly, the dynamical behaviors of the proposed system, such as the dissipative property and equilibrium point, are discussed. Thirdly, based on the stability theory, the projective synchronization of the systems can be achieved. Finally, some numerical simulations are given to verify the projective synchronization scheme.

Li Xin , Xuerong Shi and Mingjie Xu. (2019). Projective Synchronization of a Hyperchaotic Lorenz System. Journal of Information and Computing Science. 14 (1). 003-009. doi:

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