메뉴 건너뛰기




Volumn 16, Issue 9, 2011, Pages 3815-3824

Synchronization of N-coupled incommensurate fractional-order chaotic systems with ring connection

Author keywords

Chaos synchronization; Complex networks; Error feedback coupling; Fractional order calculus; Ring connection

Indexed keywords

CALCULATIONS; CHAOTIC SYSTEMS; FEEDBACK; SYNCHRONIZATION;

EID: 79953707328     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2010.12.035     Document Type: Article
Times cited : (35)

References (43)
  • 6
    • 77955325027 scopus 로고    scopus 로고
    • Robust stabilization of fractional-order interval systems via fractional-order controllers.
    • 2010: Article ID 984601. doi:10.1155/2010/984601.
    • Saleh SD, Mohammad MA, Mohammadtaghi HB. Robust stabilization of fractional-order interval systems via fractional-order controllers. J Adv Differ Equations. 2010; 2010: Article ID 984601. doi:10.1155/2010/984601. doi:10.1155/2010/984601.
    • (2010) J Adv Differ Equations
    • Saleh, S.D.1    Mohammad, M.A.2    Mohammadtaghi, H.B.3
  • 8
    • 85196155231 scopus 로고    scopus 로고
    • Chaos in a fractional order Duffing system. In: Proceedings of ECCTD, Budapest;
    • Arena P, Caponetto R, Fortuna L, Porto D. Chaos in a fractional order Duffing system. In: Proceedings of ECCTD, Budapest; 1997. p. 1259-62.
    • (1997) , pp. 1259-1262
    • Arena, P.1    Caponetto, R.2    Fortuna, L.3    Porto, D.4
  • 9
    • 0037332868 scopus 로고    scopus 로고
    • Chaos in fractional-order autonomous nonlinear systems
    • Ahmad W.M., Sprott J.C. Chaos in fractional-order autonomous nonlinear systems. Chaos Solitons Fract 2003, 16:339-351.
    • (2003) Chaos Solitons Fract , vol.16 , pp. 339-351
    • Ahmad, W.M.1    Sprott, J.C.2
  • 10
    • 3342927052 scopus 로고    scopus 로고
    • Chaos and hyperchaos in the fractional-order Rössler equations
    • Li C., Chen G. Chaos and hyperchaos in the fractional-order Rössler equations. Phys A Stat Mech Appl 2004, 341:55-61.
    • (2004) Phys A Stat Mech Appl , vol.341 , pp. 55-61
    • Li, C.1    Chen, G.2
  • 11
    • 19144371559 scopus 로고    scopus 로고
    • Chaotic dynamics and synchronization of fractional-order Arneodo's systems
    • Lü J.G. Chaotic dynamics and synchronization of fractional-order Arneodo's systems. Chaos Solitons Fract 2005, 26(4):1125-1133.
    • (2005) Chaos Solitons Fract , vol.26 , Issue.4 , pp. 1125-1133
    • Lü, J.G.1
  • 12
    • 23144435914 scopus 로고    scopus 로고
    • A note on the fractional-order Chen system
    • Lü J.G., Chen G. A note on the fractional-order Chen system. Chaos Solitons Fract 2006, 27(3):685-688.
    • (2006) Chaos Solitons Fract , vol.27 , Issue.3 , pp. 685-688
    • Lü, J.G.1    Chen, G.2
  • 13
    • 33646366905 scopus 로고    scopus 로고
    • Chaotic dynamics of the fractional-order Lü system and its synchronization
    • Lü J.G. Chaotic dynamics of the fractional-order Lü system and its synchronization. Phys Lett A 2006, 354(4):305-311.
    • (2006) Phys Lett A , vol.354 , Issue.4 , pp. 305-311
    • Lü, J.G.1
  • 15
    • 0002731965 scopus 로고    scopus 로고
    • Stability results for fractional differential equations with applications to control processing.
    • In: IMACS. Lille, France: IEEE-SMC;
    • Matignon D. Stability results for fractional differential equations with applications to control processing. In: IMACS. Lille, France: IEEE-SMC; 1996: p. 963-8.
    • (1996) , pp. 963-968
    • Matignon, D.1
  • 16
    • 85196152440 scopus 로고    scopus 로고
    • Generalized projective synchronization of the fractional-order hyperchaotic Lorenz systems via a vector transmitted signal.
    • In: 7th IEEE International Conference on Electrical Engineering, Computing Science and Automatic Control, CCE, Tuxtla Gutiérrez, Mexico;
    • Saleh SD, Mohammadtaghi HB. Generalized projective synchronization of the fractional-order hyperchaotic Lorenz systems via a vector transmitted signal. In: 7th IEEE International Conference on Electrical Engineering, Computing Science and Automatic Control, CCE, Tuxtla Gutiérrez, Mexico; 2010, p. 10-15.
    • (2010) , pp. 10-15
    • Saleh, S.D.1    Mohammadtaghi, H.B.2
  • 17
    • 18844427587 scopus 로고    scopus 로고
    • Chaos synchronization of the fractional Lü system
    • Deng W., Li C.P. Chaos synchronization of the fractional Lü system. Physica A 2005, 353:61-72.
    • (2005) Physica A , vol.353 , pp. 61-72
    • Deng, W.1    Li, C.P.2
  • 18
    • 21644443401 scopus 로고    scopus 로고
    • Synchronization of chaotic fractional Chen system
    • Deng W., Li C. Synchronization of chaotic fractional Chen system. J Phys Soc Jpn 2005, 74(6):1645-1648.
    • (2005) J Phys Soc Jpn , vol.74 , Issue.6 , pp. 1645-1648
    • Deng, W.1    Li, C.2
  • 19
    • 27744554781 scopus 로고    scopus 로고
    • Chaos synchronization of the Chua system with a fractional order
    • Li C.P., Deng W.H., Xu D. Chaos synchronization of the Chua system with a fractional order. Physica A 2006, 360:171-185.
    • (2006) Physica A , vol.360 , pp. 171-185
    • Li, C.P.1    Deng, W.H.2    Xu, D.3
  • 20
    • 61849107371 scopus 로고    scopus 로고
    • On the exponential synchronization of stochastic jumping chaotic neural networks with mixed delays and sector-bounded nonlinearities
    • Tang Y., Fang J., Miao Q. On the exponential synchronization of stochastic jumping chaotic neural networks with mixed delays and sector-bounded nonlinearities. Neurocomputing. 2009, 72:1694-1701.
    • (2009) Neurocomputing. , vol.72 , pp. 1694-1701
    • Tang, Y.1    Fang, J.2    Miao, Q.3
  • 22
    • 60649099500 scopus 로고    scopus 로고
    • Synchronization for stochastically hybrid coupled neural networks with coupling discrete and distributed time-varying delays
    • Tang Y., Zhong Z., Fang J. Synchronization for stochastically hybrid coupled neural networks with coupling discrete and distributed time-varying delays. Chin Phys B 2008, 17:4080-4090.
    • (2008) Chin Phys B , vol.17 , pp. 4080-4090
    • Tang, Y.1    Zhong, Z.2    Fang, J.3
  • 23
  • 24
    • 85196180295 scopus 로고    scopus 로고
    • Synchronization in scale-free networks: robustness and fragility
    • Wang X.F., Chen G.R. Synchronization in scale-free networks: robustness and fragility. IEEE Trans CASI-50 2003, 50:1381-1390.
    • (2003) IEEE Trans CASI-50 , vol.50 , pp. 1381-1390
    • Wang, X.F.1    Chen, G.R.2
  • 25
    • 0037179029 scopus 로고    scopus 로고
    • Synchronization stability of three chaotic systems with linear coupling
    • Zhou T., Lü J., Chen G., Tang Y. Synchronization stability of three chaotic systems with linear coupling. Phys Lett A 2002, 301:231-240.
    • (2002) Phys Lett A , vol.301 , pp. 231-240
    • Zhou, T.1    Lü, J.2    Chen, G.3    Tang, Y.4
  • 26
    • 0037411038 scopus 로고    scopus 로고
    • Chaotic synchronization of three coupled oscillators with ring connection
    • Kyprianidis I.M., Stouboulos I.N. Chaotic synchronization of three coupled oscillators with ring connection. Chaos Solitons Fract 2003, 17:327-336.
    • (2003) Chaos Solitons Fract , vol.17 , pp. 327-336
    • Kyprianidis, I.M.1    Stouboulos, I.N.2
  • 27
    • 13444288055 scopus 로고    scopus 로고
    • Global synchronization of three coupled chaotic systems with ring connection
    • Yongguang Yu, Suochun Zhang Global synchronization of three coupled chaotic systems with ring connection. Chaos Solitons Fract 2005, 24:1233-1242.
    • (2005) Chaos Solitons Fract , vol.24 , pp. 1233-1242
    • Yongguang, Y.1    Suochun, Z.2
  • 28
    • 69049091852 scopus 로고    scopus 로고
    • Synchronization of N-coupled fractional-order chaotic systems with ring connection
    • Yang Tang, Jian-an Fang Synchronization of N-coupled fractional-order chaotic systems with ring connection. Commun Nonlinear Sci Numer Simulat 2010, 15:401-412.
    • (2010) Commun Nonlinear Sci Numer Simulat , vol.15 , pp. 401-412
    • Yang, T.1    Jian-an, F.2
  • 29
    • 77952237478 scopus 로고    scopus 로고
    • Comments on: " Synchronization of N-coupled fractional-order chaotic systems with ring connection" [Commun Nonlinear Sci Numer Simulat 2010;15:401-12]. J Commun Nonlinear Sci Numer Simulat
    • Asheghan MM, Delshad SS. Comments on: " Synchronization of N-coupled fractional-order chaotic systems with ring connection" [Commun Nonlinear Sci Numer Simulat 2010;15:401-12]. J Commun Nonlinear Sci Numer Simulat, 2010; 15(11): 3733-34.
    • (2010) , vol.15 , Issue.11 , pp. 3733-3734
    • Asheghan, M.M.1    Delshad, S.S.2
  • 33
    • 0001618393 scopus 로고    scopus 로고
    • An algorithm for the numerical solution of differential equations of fractional order
    • Diethelm K. An algorithm for the numerical solution of differential equations of fractional order. Elec Trans Numer Anal 1997, 5:1-7.
    • (1997) Elec Trans Numer Anal , vol.5 , pp. 1-7
    • Diethelm, K.1
  • 34
    • 0036650479 scopus 로고    scopus 로고
    • A predictor-corrector approach for the numerical solution of fractional differential equations
    • Diethelm K., Ford N.J., Freed A.D. A predictor-corrector approach for the numerical solution of fractional differential equations. Nonlinear Dynam 2002, 29:3-22.
    • (2002) Nonlinear Dynam , vol.29 , pp. 3-22
    • Diethelm, K.1    Ford, N.J.2    Freed, A.D.3
  • 35
    • 4043121080 scopus 로고    scopus 로고
    • Detailed error analysis for a fractional Adams method
    • Diethelm K., Ford N.J., Freed A.D. Detailed error analysis for a fractional Adams method. Numer Algor 2004, 36:31-52.
    • (2004) Numer Algor , vol.36 , pp. 31-52
    • Diethelm, K.1    Ford, N.J.2    Freed, A.D.3
  • 36
    • 1842832060 scopus 로고    scopus 로고
    • Chaos in Chen's system with a fractional order
    • Li C., Peng G. Chaos in Chen's system with a fractional order. Chaos Solitons Fract 2004, 22:443-450.
    • (2004) Chaos Solitons Fract , vol.22 , pp. 443-450
    • Li, C.1    Peng, G.2
  • 37
    • 0037081673 scopus 로고    scopus 로고
    • Analysis of fractional differential equations
    • Diethelm K., Ford N.J. Analysis of fractional differential equations. J Math Anal Appl 2002, 265:229-248.
    • (2002) J Math Anal Appl , vol.265 , pp. 229-248
    • Diethelm, K.1    Ford, N.J.2
  • 38
    • 0343689904 scopus 로고
    • Synchronization in chaotic systems
    • Pecora L.M., Carroll T.L. Synchronization in chaotic systems. Phys Rev Lett 1990, 64:821-824.
    • (1990) Phys Rev Lett , vol.64 , pp. 821-824
    • Pecora, L.M.1    Carroll, T.L.2
  • 39
    • 33947133956 scopus 로고    scopus 로고
    • Stability analysis of linear fractional differential system with multiple time delays
    • Deng W., Li C., Lü J. Stability analysis of linear fractional differential system with multiple time delays. Nonlinear Dynam 2007, 48:409-416.
    • (2007) Nonlinear Dynam , vol.48 , pp. 409-416
    • Deng, W.1    Li, C.2    Lü, J.3
  • 40
    • 85196142336 scopus 로고
    • Bifurcat Chaos Coupled Oscillators. Singapore, World Scientific Publishing Co. ISBN 981-02-0579-1.
    • Awrejcewicz J. Bifurcat Chaos Coupled Oscillators. Singapore, World Scientific Publishing Co. 1991. VIII, 245 pp. ISBN 981-02-0579-1.
    • (1991) , vol.8 , pp. 245
    • Awrejcewicz, J.1
  • 41
    • 0036011505 scopus 로고    scopus 로고
    • A new chaotic attractor coined
    • Lü J., Chen G. A new chaotic attractor coined. Int J Bifurcat Chaos 2002, 12(3):659-661.
    • (2002) Int J Bifurcat Chaos , vol.12 , Issue.3 , pp. 659-661
    • Lü, J.1    Chen, G.2
  • 42
    • 0000241853 scopus 로고
    • Deterministic non-periodic flows
    • Lorenz E.N. Deterministic non-periodic flows. J Atmos Sci 1963, 20(1):130-141.
    • (1963) J Atmos Sci , vol.20 , Issue.1 , pp. 130-141
    • Lorenz, E.N.1
  • 43


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.