首页|A New Four-Wing Chaotic System and Its Unified Generalized Projective Synchronization

A New Four-Wing Chaotic System and Its Unified Generalized Projective Synchronization

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In this paper,some basic properties of a new four-dimensional (4D) continuous autonomous chaotic system,in which each equation contains a cubic cross-product term,are further analyzed.The new system has 9 equilibria displaying graceful symmetry with respect to the origin and coordinate planes,and the stability of them are discussed.Then detailed bifurcation analysis is given to demonstrate the evolution processes of the system.Numerical simulations show that the system evolves chaotic motions through period-doubling bifurcation or intermittence chaos while the system parameters vary.We design a new scheme of generalized projective synchronization,so-called unified generalized projective synchronization,whose response signal synchronizes with the linear combination of drive signal.The design has the advantages of containing complete synchronization,anti-synchronization and disorder synchronization over the usual generalized projective synchronization,such that it can provide greater security in secure communication.Based on Lyapunov stability theorem,some sufficient conditions for the new synchronization are inferred.Numerical simulations demonstrate the effectiveness and feasibility of the method by employing the four-wing chaotic system.

four-wing chaotic attractorfour-dimensional (4D) chaotic systemLyapunov exponentsbifurcationgeneralized projective synchronization

ZHANG Li、PENG Jiankui

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The Basic Courses Department, Lanzhou Institute of Technology, Lanzhou 730050, Gansu, China

The Institute of Education, Lanzhou University of Arts and Science, Lanzhou 730000, Gansu, China

Supported by the National Natural Science Foundation of ChinaNatural Science Foundation of Gansu Province

6186302217JR5RA096

2020

10.19823/j.cnki.1007-1202.2020.0033

武汉大学自然科学学报(英文版)
武汉大学

武汉大学自然科学学报(英文版)

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影响因子：0.066
ISSN：1007-1202
年,卷(期)：2020.25(3)
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