메뉴 건너뛰기




Volumn 51, Issue 1-2, 2008, Pages 171-181

Dynamical properties and chaos synchronization of a new chaotic complex nonlinear system

Author keywords

2 and 4 scroll; Active control; Chaos; Chaotic attractor; Complex variables; Dissipative dynamics; Equilibria and stability; Error system; Synchronization

Indexed keywords

ASYMPTOTIC STABILITY; CHAOTIC SYSTEMS; LYAPUNOV FUNCTIONS; SYNCHRONIZATION;

EID: 35448968370     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-007-9200-y     Document Type: Article
Times cited : (76)

References (17)
  • 1
    • 0013044957 scopus 로고
    • Detuned lasers and the complex Lorenz equations: Subcritical and supercritical Hopf bifurcations
    • Ning, C.Z., Haken, H.: Detuned lasers and the complex Lorenz equations: Subcritical and supercritical Hopf bifurcations. Phys. Rev. A 41, 3826-3837, (1990)
    • (1990) Phys. Rev. A , vol.41 , pp. 3826-3837
    • Ning, C.Z.1    Haken, H.2
  • 2
    • 0345573180 scopus 로고    scopus 로고
    • Global stability properties of the complex Lorenz model
    • Rauh, A., Hannibal, L., Abraham, N.: Global stability properties of the complex Lorenz model. Physica D 99, 45-58 (1996)
    • (1996) Physica D , vol.99 , pp. 45-58
    • Rauh, A.1    Hannibal, L.2    Abraham, N.3
  • 3
    • 0000508221 scopus 로고
    • The real and complex Lorenz equations in rotating fluids and laser
    • Gibbon, J.D., McGuinnes, M.J.: The real and complex Lorenz equations in rotating fluids and laser. Physica D 5, 108-121 (1982)
    • (1982) Physica D , vol.5 , pp. 108-121
    • Gibbon, J.D.1    McGuinnes, M.J.2
  • 4
    • 35448988803 scopus 로고    scopus 로고
    • Active control and globle synchronization for complex Chen and Lü systems
    • in press
    • Mahmoud, G.M., Bountis, T., Mahmoud, E.E.: Active control and globle synchronization for complex Chen and Lü systems. Int. J. Bif. chaos (in press)
    • Int. J. Bif. Chaos
    • Mahmoud, G.M.1    Bountis, T.2    Mahmoud, E.E.3
  • 5
    • 0037246536 scopus 로고    scopus 로고
    • A new chaotic system and its generation
    • 1
    • Liu, W.B., Chen, G.R.: A new chaotic system and its generation. Int. J. Bif. Chaos 13(1), 261-267 (2003)
    • (2003) Int. J. Bif. Chaos , vol.13 , pp. 261-267
    • Liu, W.B.1    Chen, G.R.2
  • 6
    • 1242332303 scopus 로고    scopus 로고
    • Impulsive control of a new chaotic system
    • Sun, J.: Impulsive control of a new chaotic system. Math. Comput. Simul. 64, 669-677 (2004)
    • (2004) Math. Comput. Simul. , vol.64 , pp. 669-677
    • Sun, J.1
  • 7
    • 0036999538 scopus 로고    scopus 로고
    • Bridge the gap between the Lorenz system and the Chen system
    • 12
    • Lu, J., Chen, G., Cheng, D., Celikovsky, S.: Bridge the gap between the Lorenz system and the Chen system. Int. J. Bif. Chaos 12(12), 2917-2926 (2002)
    • (2002) Int. J. Bif. Chaos , vol.12 , pp. 2917-2926
    • Lu, J.1    Chen, G.2    Cheng, D.3    Celikovsky, S.4
  • 8
    • 1542320221 scopus 로고    scopus 로고
    • Anti-control of chaos in rigid body motion
    • Chen, H.K., Lee, C.I.: Anti-control of chaos in rigid body motion. Chaos Solitons Fractals 21, 957-965 (2004)
    • (2004) Chaos Solitons Fractals , vol.21 , pp. 957-965
    • Chen, H.K.1    Lee, C.I.2
  • 9
    • 6344233654 scopus 로고    scopus 로고
    • Global synchronization criterion and adaptive synchronization for new chaotic system
    • 10
    • Elabbasy, E.M., Agiza, H.N., El-Dessoky, M.: Global synchronization criterion and adaptive synchronization for new chaotic system. Chaos Solitons Fractals 23(10), 1299-1309 (2005)
    • (2005) Chaos Solitons Fractals , vol.23 , pp. 1299-1309
    • Elabbasy, E.M.1    Agiza, H.N.2    El-Dessoky, M.3
  • 10
    • 18144402417 scopus 로고    scopus 로고
    • Analysis of a new chaotic system
    • Qi, G., Chen, G., Du, S., Chen, Z., Yuan, Z.: Analysis of a new chaotic system. Physica A 352, 295-308 (2005)
    • (2005) Physica A , vol.352 , pp. 295-308
    • Qi, G.1    Chen, G.2    Du, S.3    Chen, Z.4    Yuan, Z.5
  • 11
    • 18844372300 scopus 로고    scopus 로고
    • Controlling chaos and ynchronization for new chaotic system using linaer feedback control
    • Yassen, M.T.: Controlling chaos and ynchronization for new chaotic system using linaer feedback control. Chaos Solitons Fractals 26, 913-920 (2005)
    • (2005) Chaos Solitons Fractals , vol.26 , pp. 913-920
    • Yassen, M.T.1
  • 12
    • 6344249919 scopus 로고    scopus 로고
    • Can a three-dimensional smooth autonomous quadratic chaotic system generate a single four-scroll attractor
    • 4
    • Liu, W., Chen, G.: Can a three-dimensional smooth autonomous quadratic chaotic system generate a single four-scroll attractor? Int J. Bif. Chaos 14(4), 1395-1403 (2004)
    • (2004) Int J. Bif. Chaos , vol.14 , pp. 1395-1403
    • Liu, W.1    Chen, G.2
  • 14
    • 0035139439 scopus 로고    scopus 로고
    • Synchronization systems of Rössler and Chen chaotic dynamical systems using active control
    • Agiza, H.N., Yassen, M.T.: Synchronization systems of Rössler and Chen chaotic dynamical systems using active control. Phys. Lett. A 278, 191-197 (2001)
    • (2001) Phys. Lett. A , vol.278 , pp. 191-197
    • Agiza, H.N.1    Yassen, M.T.2
  • 15
    • 24944501612 scopus 로고    scopus 로고
    • Synchronization of the unified chaotic systems via active control
    • 5
    • Ucar, A., Lonngren, K.E., Bai, E.-W.: Synchronization of the unified chaotic systems via active control. Chaos Solitons Fractals 27(5), 1292-1297 (2006)
    • (2006) Chaos Solitons Fractals , vol.27 , pp. 1292-1297
    • Ucar, A.1    Lonngren, K.E.2    Bai, E.-W.3
  • 16
    • 27144446106 scopus 로고    scopus 로고
    • Global synchronization of two parametrically excited systems using active control
    • Lei, Y., Xu, W., Shen, J., Fang, T.: Global synchronization of two parametrically excited systems using active control. Chaos Solitons Fractals 28, 428-436 (2006)
    • (2006) Chaos Solitons Fractals , vol.28 , pp. 428-436
    • Lei, Y.1    Xu, W.2    Shen, J.3    Fang, T.4
  • 17
    • 0008494528 scopus 로고
    • Determining Lyapunov exponents from a time series
    • Wolf, A., Swift, J., Swinney, H., Vastano, J.: Determining Lyapunov exponents from a time series. Physica D 16, 285-317 (1985)
    • (1985) Physica D , vol.16 , pp. 285-317
    • Wolf, A.1    Swift, J.2    Swinney, H.3    Vastano, J.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.