Switched generalized function projective synchronization of two hyperchaotic systems with hidden attractors
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- 作者：Yu Feng ; J. Pu ; Z. Wei
- 刊名：The European Physical Journal - Special Topics
- 出版年：2015
- 出版时间：July 2015
- 年：2015
- 卷：224
- 期：8
- 页码：1593-1604
- 全文大小：1,558 KB
- 参考文献：1.L.M. Pecora, T.L. Carroll, Phys. Rev. Lett. 64, 821 (1990)MathSciNet ADS View Article MATH
2.M.G. Rosenblum, A.S. Pikovsky, J. Kurths, Phys. Rev. Lett. 76, 1804 (1996)ADS View Article
3.N.F. Rulkov, M.M. Sushchik, L.S. Tsimring, Phys. Rev. E 51, 980 (1995)ADS View Article
4.M.G. Rosenblum, A.S. Pikovsky, J. Kurths, Phys. Rev. Lett. 78, 4193 (1997)ADS View Article
5.S. Boccaletti, D.L. Valladares, Phys. Rev. E 62, 7497 (2000)ADS View Article MATH
6.A.E. Hramov, A.A. Koronovskii, Chaos 14, 603 (2004)MathSciNet ADS View Article
7.A.E. Hramov, A.A. Koronovskii, Europhys. Lett. 72, 1 (2005)MathSciNet View Article
8.R. Femat, G. Solis-Perales, Phys. Rev. E 65, 036226 (2002)ADS View Article
9.F.M. Moukam Kakmeni, S. Bowong, C. Tchawoua, Commun. Nonlinear Sci. Numer. Simul. 11, 810 (2006)MathSciNet ADS View Article MATH
10.S.A. Lazzouni, S. Bowong, F.M. Moukam Kakmeni, B. Cherki, Commun. Nonlinear Sci. Numer. Simul. 12, 568 (2007)MathSciNet ADS View Article MATH
11.U.E. Vincent, R. Guo, Commun. Nonlinear Sci. Numer. Simul. 14, 3925 (2009)MathSciNet ADS View Article MATH
12.R. Mainieri, J. Rehacek, Phys. Rev. Lett. 82, 3042 (1999)ADS View Article
13.G.H. Li, Chaos Solitons Fractals 32, 1454 (2007)ADS View Article MATH
14.W. Li, X. Chen, Commun. Nonlinear Sci. Numer. Simul. 14, 3100 (2009)ADS View Article
15.G.H. Li, Chaos Solitons Fractals 32, 1786 (2007)MathSciNet ADS View Article MATH
16.N. Cai, Y. Jing, S. Zhang, Commun Nonlinear Sci. Numer. Simul. 15, 1613 (2010)MathSciNet ADS View Article MATH
17.H. Du, Q. Zeng, C. Wong, Phys. Lett. A 372, 5402 (2008)ADS View Article MATH
18.K.S. Sudheer, M. Sabir, Phys. Lett. A 373, 1847 (2009)MathSciNet ADS View Article MATH
19.N.F. Rulkov, M.M. Sushchik, L.S. Tsimring, H.D.I. Arbarbanel, Phys. Rev. E 51, 980 (1995)ADS View Article
20.H.D. I. Abarbanel, N.F. Rulkov, M.M. Sushchik, Phys. Rev. E 53, 4528 (1996)ADS View Article
21.H.P. Ju, J Comput Appl. Math. 213, 288 (2008)View Article MATH
22.Z. Xu, R. Zhang, Y. Yang, M. Hu, Phys. Lett. A 374, 3025 (2010)ADS View Article MATH
23.K.S. Sudheer, M. Sabir, Phys. Lett. A 374, 2017 (2010)ADS View Article MATH
24.G. Fu, Commun. Nonlinear Sci. Numer. Simulat. 17, 2602 (2012)ADS View Article MATH
25.Y. Yu, H.X. Li, Nonlinear Anal. RWA 11, 2456 (2010)View Article MATH
26.K.S. Sudheer, M. Sabir, Commun. Nonlinear Sci. Numer. Simulat. 15, 4058 (2010)ADS View Article
27.T. Kapitaniak, Y. Maistrenko, S. Popovych Phys. Rev. E 62, 1972 (2000)ADS View Article
28.S. Yanchuk, T. Kapitaniak, Phys. Lett. A 290, 139 (2001)ADS View Article MATH
29.Y. Maistrenko, T. Kapitaniak, P. Szuminski, Phys. Rev. E 56, 6393 (1997)MathSciNet ADS View Article
30.S. Yanchuk, T. Kapitaniak, Phys. Rev. E 64, 056235 (2001)ADS View Article
31.C.P. Silva, IEEE Trans Circ. Syst. I 40, 657 (1993)ADS View Article
32.G. Leonov, N. Kuznetsov, Int. J. Bifur. Chaos 23, 1330002 (2013)MathSciNet View Article
33.G. Leonov, N. Kuznetsov, V. Vagaitsev, Phys. Lett. A 375, 2230 (2011)MathSciNet ADS View Article MATH
34.G. Leonov, N. Kuznetsov, V. Vagaitsev, Phys. D 241, 1482 (2012)MathSciNet View Article MATH
35.H. Li, C. Li, Phys. Scr. 86, 045008 (2012)ADS View Article
36.F. Yu, C. Wang, Q. Wan, Y. Hu, Pramana, J. Phys. 80, 223 (2013)
37.Z.C. Wei, R. Wang, A.P. Liu, Math. Comput. Simulat. 100, 13 (2014)MathSciNet View Article
38.Z.C. Wei, W. Zhang, Internat. J. Bifur. Chaos 24, 1450127 (2014)MathSciNet ADS View Article
39.Y. Uyaroylu, B. Cevher, Turk. J. Elec. Eng. Comp. Sci. 21, 649 (2013)
40.C. Shen, S. Yu, J. L眉, G. Chen, IEEE Trans. Circuits Syst. I 61, 854 (2014)View Article
41.Y. Chen, J. L眉, X. Yu, Z. Lin, SIAM J. Control Optim. 51, 3274 (2013)MathSciNet View Article MATH
42.Y. Chen, J. L眉, Z. Lin, Automatica 49, 1768 (2013)View Article
43.Y. Chen, J. L眉, X. Yu, D. Hill, IEEE Circ. Syst. Mag. 13, 21 (2013)View Article - 作者单位：Yu Feng (1)
J. Pu (2)
Z. Wei (3) (4)
1. School of Mathematics and Information Science, Guangxi Universities Key Lab of Complex System Optimization and Big Data Processing, Yulin Normal University, Yulin, 537000, PR China
2. Business School, University of International Business and Economics, Beijing, 100029, PR China
3. School of Mathematics and Physics, China University of Geosciences, Wuhan, 430074, PR China
4. College of Mechanical Engineering, Beijing University of Technology, Beijing, 100124, PR China - 刊物类别：Physics and Astronomy
- 刊物主题：Physics
Condensed Matter
Materials Science
Atoms, Molecules, Clusters and Plasmas
Electromagnetism, Optics and Lasers
Measurement Science and Instrumentation
Mechanics, Fluids and Thermodynamics - 出版者：Springer Berlin / Heidelberg
- ISSN：1951-6401
文摘
This work is involved with new results for adaptive switched generalized function projective synchronization between hyperchaotic diffusionless Lorenz equations (2014) and modified Lorenz-Stenflo system (2014), when the two system parameters are unknown. Hyperchaotic diffusionless Lorenz equations and modified Lorenz-Stenflo system belong to a newly introduced category of chaotic systems, and both generate hidden hyperchaos and complicated phenomena. Based on the Lyapunov stability theory, corresponding adaptive controllers with appropriate parameter update laws are constructed to achieve adaptive switched generalized function projective synchronization between the two different hyperchaotic systems. Numerical simulations are given to show the feasibility of theoretical results.