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Volumn 55, Issue 7-8, 2012, Pages 1951-1962

Dynamics and synchronization of new hyperchaotic complex Lorenz system

Author keywords

Active control; Bifurcation; Complex; Dynamics; Hyperchaotic system; Lyapunov dimension; Lyapunov exponents; Stability analysis; Synchronization

Indexed keywords

ACTIVE CONTROL; COMPLEX; HYPER-CHAOTIC SYSTEMS; LYAPUNOV DIMENSION; LYAPUNOV EXPONENT; STABILITY ANALYSIS;

EID: 84857120377     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2011.11.053     Document Type: Article
Times cited : (107)

References (32)
  • 1
    • 0000241853 scopus 로고
    • Deterministic non-periodic flow
    • Lorenz E.N. Deterministic non-periodic flow. J. Atmos. Sci. 1963, 20:130-141.
    • (1963) J. Atmos. Sci. , vol.20 , pp. 130-141
    • Lorenz, E.N.1
  • 3
    • 0009809866 scopus 로고
    • The real and complex Lorenz equations and their relevance to physical systems
    • Fowler A.C., Gibbon J.D., McGuinnes M.J. The real and complex Lorenz equations and their relevance to physical systems. Physica D 1983, 7:126-134.
    • (1983) Physica D , vol.7 , pp. 126-134
    • Fowler, A.C.1    Gibbon, J.D.2    McGuinnes, M.J.3
  • 4
    • 34249024925 scopus 로고    scopus 로고
    • Basic properties and chaotic synchronization of complex Lorenz system
    • Mahmoud G.M., Al-Kashif M.A., Aly S.A. Basic properties and chaotic synchronization of complex Lorenz system. Int. J. Mod. Phys. C 2007, 18:253-265.
    • (2007) Int. J. Mod. Phys. C , vol.18 , pp. 253-265
    • Mahmoud, G.M.1    Al-Kashif, M.A.2    Aly, S.A.3
  • 5
    • 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 1990, 41:3827-3837.
    • (1990) Phys. Rev. A , vol.41 , pp. 3827-3837
    • Ning, C.Z.1    Haken, H.2
  • 6
    • 43049148158 scopus 로고    scopus 로고
    • Symmetry breaking and bifurcations in complex Lorenz model
    • Kiselev A.D. Symmetry breaking and bifurcations in complex Lorenz model. J. Phys. Stud. 1998, 2:30-37.
    • (1998) J. Phys. Stud. , vol.2 , pp. 30-37
    • Kiselev, A.D.1
  • 7
    • 0345573180 scopus 로고    scopus 로고
    • Global stability properties of the complex Lorenz model
    • Rauh A., Hannibal L., Abraham N.B. Global stability properties of the complex Lorenz model. Physica D 1996, 99:45-58.
    • (1996) Physica D , vol.99 , pp. 45-58
    • Rauh, A.1    Hannibal, L.2    Abraham, N.B.3
  • 8
    • 40549096015 scopus 로고    scopus 로고
    • Active control and global synchronization of the complex Chen and Lü systems
    • Mahmoud G.M., Bountis T., Mahmoud E.E. Active control and global synchronization of the complex Chen and Lü systems. Int. J. Bifurcat. Chaos 2007, 17:4295-4308.
    • (2007) Int. J. Bifurcat. Chaos , vol.17 , pp. 4295-4308
    • Mahmoud, G.M.1    Bountis, T.2    Mahmoud, E.E.3
  • 9
    • 35448968370 scopus 로고    scopus 로고
    • Dynamical properties and chaos synchronization of a new chaotic complex nonlinear system
    • Mahmoud G.M., Aly S.A., Al-Kashif M.A. Dynamical properties and chaos synchronization of a new chaotic complex nonlinear system. Nonlinear Dyn. 2008, 51:171-181.
    • (2008) Nonlinear Dyn. , vol.51 , pp. 171-181
    • Mahmoud, G.M.1    Aly, S.A.2    Al-Kashif, M.A.3
  • 10
    • 43049141911 scopus 로고    scopus 로고
    • Chaotic and hyperchaotic attractors of a complex nonlinear system
    • Mahmoud G.M., Al-Kashif M.A., Farghaly A.A. Chaotic and hyperchaotic attractors of a complex nonlinear system. J. Phys. A: Math. Theor. 2008, 41:055104. 10.1088/1751-8113/41/5/055104.
    • (2008) J. Phys. A: Math. Theor. , vol.41 , pp. 055104
    • Mahmoud, G.M.1    Al-Kashif, M.A.2    Farghaly, A.A.3
  • 11
    • 33846807695 scopus 로고    scopus 로고
    • On chaos synchronization of a complex two coupled dynamos system
    • Mahmoud G.M., Aly S.A., Farghaly A.A. On chaos synchronization of a complex two coupled dynamos system. Chaos Solitons Fractals 2007, 33:178-187.
    • (2007) Chaos Solitons Fractals , vol.33 , pp. 178-187
    • Mahmoud, G.M.1    Aly, S.A.2    Farghaly, A.A.3
  • 13
    • 0001177874 scopus 로고    scopus 로고
    • Synchronizing hyperchaos with a scalar transmitted signal
    • Peng J.H., Ding E.J., Ding M., Yang W. Synchronizing hyperchaos with a scalar transmitted signal. Phys. Rev. Lett. 1996, 76:904-907.
    • (1996) Phys. Rev. Lett. , vol.76 , pp. 904-907
    • Peng, J.H.1    Ding, E.J.2    Ding, M.3    Yang, W.4
  • 14
    • 0022807650 scopus 로고
    • Hyperchaos: laboratory experimental and numerical confirmation
    • Matsumoto T., Chua L.O., Kobayashi K. Hyperchaos: laboratory experimental and numerical confirmation. IEEE Trans. CAS. 1986, 33:1143-1147.
    • (1986) IEEE Trans. CAS. , vol.33 , pp. 1143-1147
    • Matsumoto, T.1    Chua, L.O.2    Kobayashi, K.3
  • 16
    • 0028465024 scopus 로고
    • Experimental hyperchaos in coupled Chua's circuits
    • Kapitaniak T., Chua L.O., Zhong G.Q. Experimental hyperchaos in coupled Chua's circuits. IEEE Trans. CAS. 1994, 41:499-503.
    • (1994) IEEE Trans. CAS. , vol.41 , pp. 499-503
    • Kapitaniak, T.1    Chua, L.O.2    Zhong, G.Q.3
  • 17
    • 0000548789 scopus 로고
    • An equation for hyperchaos
    • Rössler O.E. An equation for hyperchaos. Phys. Lett. A 1979, 71:155-157.
    • (1979) Phys. Lett. A , vol.71 , pp. 155-157
    • Rössler, O.E.1
  • 18
    • 0000533597 scopus 로고
    • Design of hyperchaotic flows
    • Baier G., Sahle S. Design of hyperchaotic flows. Phys. Rev. E 1995, 51:2712-2714.
    • (1995) Phys. Rev. E , vol.51 , pp. 2712-2714
    • Baier, G.1    Sahle, S.2
  • 19
    • 34548546391 scopus 로고    scopus 로고
    • A new hyper-chaos generated from generalized Lorenz system via nonlinear feedback
    • Gao T., Chen Z., Gu Q., Yuan Z. A new hyper-chaos generated from generalized Lorenz system via nonlinear feedback. Chaos Solitons Fractals 2008, 35:390-397.
    • (2008) Chaos Solitons Fractals , vol.35 , pp. 390-397
    • Gao, T.1    Chen, Z.2    Gu, Q.3    Yuan, Z.4
  • 20
    • 40549092311 scopus 로고    scopus 로고
    • Dynamics of a hyperchaotic Lorenz system
    • Barboza R. Dynamics of a hyperchaotic Lorenz system. Int. J. Bifurcat. Chaos 2007, 17:4285-4294.
    • (2007) Int. J. Bifurcat. Chaos , vol.17 , pp. 4285-4294
    • Barboza, R.1
  • 21
    • 33645149365 scopus 로고    scopus 로고
    • Generating hyperchaotic Lü attractor via state feedback control
    • Chen A., Lu J., Lü J., Yu S. Generating hyperchaotic Lü attractor via state feedback control. Physica A 2006, 364:103-110.
    • (2006) Physica A , vol.364 , pp. 103-110
    • Chen, A.1    Lu, J.2    Lü, J.3    Yu, S.4
  • 22
    • 60549101561 scopus 로고    scopus 로고
    • Hyperchaotic attractors from a linearly controlled Lorenz system
    • Yang Q., Zhang K., Chen G. Hyperchaotic attractors from a linearly controlled Lorenz system. Nonlinear Anal. 2009, 10:1601-1617.
    • (2009) Nonlinear Anal. , vol.10 , pp. 1601-1617
    • Yang, Q.1    Zhang, K.2    Chen, G.3
  • 28
    • 0037041689 scopus 로고    scopus 로고
    • Phase and anti-phase synchronization of two chaotic systems by using active control
    • Ho M.-C., Hung Y.-C., Chou C.-H. Phase and anti-phase synchronization of two chaotic systems by using active control. Phys. Lett. A 2002, 296:43-48.
    • (2002) Phys. Lett. A , vol.296 , pp. 43-48
    • Ho, M.-C.1    Hung, Y.-C.2    Chou, C.-H.3
  • 29
    • 0037009799 scopus 로고    scopus 로고
    • Synchronization of two different systems by using generalized active control
    • Ho M.-C., Hung Y.-C. Synchronization of two different systems by using generalized active control. Phys. Lett. A 2002, 301:424-428.
    • (2002) Phys. Lett. A , vol.301 , pp. 424-428
    • Ho, M.-C.1    Hung, Y.-C.2
  • 30
    • 0035139439 scopus 로고    scopus 로고
    • Synchronization of Rössler and Chen chaotic dynamical systems using active control
    • Agiza H.N., Yassen M.T. Synchronization of Rössler and Chen chaotic dynamical systems using active control. Phys. Lett. A 2001, 278:191-197.
    • (2001) Phys. Lett. A , vol.278 , pp. 191-197
    • Agiza, H.N.1    Yassen, M.T.2
  • 31
    • 77954349284 scopus 로고    scopus 로고
    • Phase and anti-phase synchronization of two identical hyperchaotic complex nonlinear systems
    • Mahmoud G.M., Mahmoud E.E. Phase and anti-phase synchronization of two identical hyperchaotic complex nonlinear systems. Nonlinear Dyn. 2010, 61:141-152.
    • (2010) Nonlinear Dyn. , vol.61 , pp. 141-152
    • Mahmoud, G.M.1    Mahmoud, E.E.2
  • 32
    • 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 1985, 16:285-317.
    • (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.