메뉴 건너뛰기




Volumn 19, Issue 3, 2012, Pages 733-738

Complex dynamic behaviors of the complex Lorenz system

Author keywords

Chaos; Complex variables; Hyper chaos; Lorenz system

Indexed keywords

CHAOS THEORY; LYAPUNOV METHODS; REAL VARIABLES;

EID: 84863648920     PISSN: 10263098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.scient.2010.11.001     Document Type: Article
Times cited : (32)

References (33)
  • 1
    • 0000241853 scopus 로고
    • Deterministic non-periodic flow
    • E.N. Lorenz Deterministic non-periodic flow J. Atmospheric Sci. 20 1963 130 141
    • (1963) J. Atmospheric Sci. , vol.20 , pp. 130-141
    • Lorenz, E.N.1
  • 2
    • 67349241933 scopus 로고    scopus 로고
    • Chaos and generalized multistability in a mesoscopic model of the electroencephalogram
    • P.M. Dafilisa, F. Frascolia, J.P. Caduschb, and T.J.D. Lileya Chaos and generalized multistability in a mesoscopic model of the electroencephalogram Physica D 238 13 2009 1056 1060
    • (2009) Physica D , vol.238 , Issue.13 , pp. 1056-1060
    • Dafilisa, P.M.1    Frascolia, F.2    Caduschb, J.P.3    Lileya, T.J.D.4
  • 3
    • 67649324980 scopus 로고    scopus 로고
    • An efficient diffusion approach for chaos-based image encryption
    • K.W. Wong, B.S.H. Kwok, and C.H. Yuen An efficient diffusion approach for chaos-based image encryption Chaos Solitons Fractals 41 5 2009 2652 2663
    • (2009) Chaos Solitons Fractals , vol.41 , Issue.5 , pp. 2652-2663
    • Wong, K.W.1    Kwok, B.S.H.2    Yuen, C.H.3
  • 5
    • 77950231008 scopus 로고    scopus 로고
    • Time delay signature concealment of optical feedback induced chaos in an external cavity semiconductor laser
    • J.G. Wu, G.Q. Xia, X. Tang, X.D. Lin, T. Deng, L. Fan, and Z.M. Wu Time delay signature concealment of optical feedback induced chaos in an external cavity semiconductor laser Opt. Express 18 7 2010 6661 6666
    • (2010) Opt. Express , vol.18 , Issue.7 , pp. 6661-6666
    • Wu, J.G.1    Xia, G.Q.2    Tang, X.3    Lin, X.D.4    Deng, T.5    Fan, L.6    Wu, Z.M.7
  • 6
    • 41649108176 scopus 로고    scopus 로고
    • Hyperchaos generated from Lorenz system
    • X. Wang, and M.A. Wang Hyperchaos generated from Lorenz system Physica A 387 14 2008 3751 3758
    • (2008) Physica A , vol.387 , Issue.14 , pp. 3751-3758
    • Wang, X.1    Wang, M.A.2
  • 7
    • 0004896004 scopus 로고
    • Nonlinear dynamos: A complex generalization of the Lorenz equations
    • C.A. Jones, N.O. Weiss, and F. Cattaneo Nonlinear dynamos: a complex generalization of the Lorenz equations Physica D 14 2 1985 161 176
    • (1985) Physica D , vol.14 , Issue.2 , pp. 161-176
    • Jones, C.A.1    Weiss, N.O.2    Cattaneo, F.3
  • 8
    • 34248386538 scopus 로고    scopus 로고
    • Hyperchaos generated from the Lorenz chaotic system and its control
    • Q. Jia Hyperchaos generated from the Lorenz chaotic system and its control Phys. Lett. A 366 3 2007 217 222
    • (2007) Phys. Lett. A , vol.366 , Issue.3 , pp. 217-222
    • Jia, Q.1
  • 9
    • 79954527534 scopus 로고    scopus 로고
    • Adaptive synchronization for an uncertain new hyperchaotic Lorenz system
    • J. Xu, G. Cai, and S. Zheng Adaptive synchronization for an uncertain new hyperchaotic Lorenz system Int. J. Nonlinear Sci. 8 1 2009 117 123
    • (2009) Int. J. Nonlinear Sci. , vol.8 , Issue.1 , pp. 117-123
    • Xu, J.1    Cai, G.2    Zheng, S.3
  • 10
    • 0000548789 scopus 로고
    • An equation for hyperchaos
    • O.E. Rossler An equation for hyperchaos Phys. Lett. A 71 2-3 1979 155 157
    • (1979) Phys. Lett. A , vol.71 , Issue.23 , pp. 155-157
    • Rossler, O.E.1
  • 12
    • 37549014203 scopus 로고    scopus 로고
    • A new image encryption algorithm based on hyper-chaos
    • T. Gaoa, and Z. Chen A new image encryption algorithm based on hyper-chaos Phys. Lett. A 372 4 2008 394 400
    • (2008) Phys. Lett. A , vol.372 , Issue.4 , pp. 394-400
    • Gaoa, T.1    Chen, Z.2
  • 13
    • 50049112396 scopus 로고    scopus 로고
    • Cryptanalysis of a new image encryption algorithm based on hyper-chaos
    • R. Rhouma, and S. Belghitha Cryptanalysis of a new image encryption algorithm based on hyper-chaos Phys. Lett. A 372 38 2008 5973 5978
    • (2008) Phys. Lett. A , vol.372 , Issue.38 , pp. 5973-5978
    • Rhouma, R.1    Belghitha, S.2
  • 14
    • 33645149365 scopus 로고    scopus 로고
    • Generating hyperchaotic Lü attractor via state feedback control
    • A. Chen, J. Lu, J. Lu, and S. Yu Generating hyperchaotic Lü attractor via state feedback control Physica A 364 2006 103 110
    • (2006) Physica A , vol.364 , pp. 103-110
    • Chen, A.1    Lu, J.2    Lu, J.3    Yu, S.4
  • 15
    • 33751234196 scopus 로고    scopus 로고
    • A novel hyperchaos system only with one equilibrium
    • Z. Chen, Y. Yang, G. Qi, and Zh. Yuan A novel hyperchaos system only with one equilibrium Phys. Lett. A 360 6 2007 696 701
    • (2007) Phys. Lett. A , vol.360 , Issue.6 , pp. 696-701
    • Chen, Z.1    Yang, Y.2    Qi, G.3    Yuan, Zh.4
  • 16
    • 26044470874 scopus 로고    scopus 로고
    • Controlling hyperchaos in the new hyperchaotic Chen system
    • Z. Yan Controlling hyperchaos in the new hyperchaotic Chen system Appl. Math. Comput. 168 2 2005 1239 1250
    • (2005) Appl. Math. Comput. , vol.168 , Issue.2 , pp. 1239-1250
    • Yan, Z.1
  • 17
    • 41749123222 scopus 로고    scopus 로고
    • On hyperchaos synchronization of a hyperchaotic Lü system
    • M.T. Yassen On hyperchaos synchronization of a hyperchaotic Lü system Nonlinear Anal. TMA 68 11 2008 3592 3600
    • (2008) Nonlinear Anal. TMA , vol.68 , Issue.11 , pp. 3592-3600
    • Yassen, M.T.1
  • 18
    • 64949142468 scopus 로고    scopus 로고
    • Blowout bifurcation and chaos-hyperchaos transition in five dimensional continuous autonomous systems
    • Q. Zhou, Z. Chen, and Zh. Yuan Blowout bifurcation and chaos-hyperchaos transition in five dimensional continuous autonomous systems Chaos Solitons Fractals 40 2 2009 1012 1020
    • (2009) Chaos Solitons Fractals , vol.40 , Issue.2 , pp. 1012-1020
    • Zhou, Q.1    Chen, Z.2    Yuan, Zh.3
  • 20
    • 38649114696 scopus 로고    scopus 로고
    • Analysis of a 3D chaotic system
    • G. Tigan, and D. Opris Analysis of a 3D chaotic system Chaos Solitons Fractals 36 5 2008 1315 1319
    • (2008) Chaos Solitons Fractals , vol.36 , Issue.5 , pp. 1315-1319
    • Tigan, G.1    Opris, D.2
  • 21
    • 64049112972 scopus 로고    scopus 로고
    • The evolution of a novel four-dimensional autonomous system: Among 3-torus, limit cycle, 2-torus, chaos and hyperchaos
    • W. Wu, Z. Chen, and Z. Yuan The evolution of a novel four-dimensional autonomous system: among 3-torus, limit cycle, 2-torus, chaos and hyperchaos Chaos Solitons Fractals 39 5 2009 2340 2356
    • (2009) Chaos Solitons Fractals , vol.39 , Issue.5 , pp. 2340-2356
    • Wu, W.1    Chen, Z.2    Yuan, Z.3
  • 22
    • 0022928633 scopus 로고
    • Computation of the fractal dimension of topographic surfaces using the triangular prism surface area method
    • C.K. Clarke Computation of the fractal dimension of topographic surfaces using the triangular prism surface area method Comput. Geosci. 12 5 1986 713 722
    • (1986) Comput. Geosci. , vol.12 , Issue.5 , pp. 713-722
    • Clarke, C.K.1
  • 23
    • 0000442068 scopus 로고
    • A fast algorithm to determine fractal dimensions by box counting
    • S.L. Liebovitch, and T. Toth A fast algorithm to determine fractal dimensions by box counting Phys. Lett. A 141 8-9 1989 386 390
    • (1989) Phys. Lett. A , vol.141 , Issue.89 , pp. 386-390
    • Liebovitch, S.L.1    Toth, T.2
  • 25
    • 0008494528 scopus 로고
    • Determining Lyapunov exponents from a time series
    • A. Wolf, J.B. Swift, H.L. Swinney, and J.A. Vastano Determining Lyapunov exponents from a time series Physica D 16 3 1985 285 317
    • (1985) Physica D , vol.16 , Issue.3 , pp. 285-317
    • Wolf, A.1    Swift, J.B.2    Swinney, H.L.3    Vastano, J.A.4
  • 27
    • 85040901747 scopus 로고
    • The kinematics of mixing: Stretching, chaos, and transport
    • Cambridge University Press Cambridge, UK
    • J.M. Ottino The kinematics of mixing: stretching, chaos, and transport Cambridge Texts in Applied Mathematics 1989 Cambridge University Press Cambridge, UK
    • (1989) Cambridge Texts in Applied Mathematics
    • Ottino, J.M.1
  • 28
    • 52149118218 scopus 로고    scopus 로고
    • Stretching and folding mechanism in foams
    • A. Tufaile, and A.P.B. Tufaile Stretching and folding mechanism in foams Phys. Lett. A 372 42 2008 6381 6385
    • (2008) Phys. Lett. A , vol.372 , Issue.42 , pp. 6381-6385
    • Tufaile, A.1    Tufaile, A.P.B.2
  • 29
    • 0037402811 scopus 로고    scopus 로고
    • Analogy between a 10D model for nonlinear wave-wave interaction in a plasma and the 3D Lorenz dynamics
    • C. Letellier, L.A. Aguirre, J. Maquet, and B. Lefebvre Analogy between a 10D model for nonlinear wave-wave interaction in a plasma and the 3D Lorenz dynamics Physica D 179 1-2 2003 33 52
    • (2003) Physica D , vol.179 , Issue.12 , pp. 33-52
    • Letellier, C.1    Aguirre, L.A.2    Maquet, J.3    Lefebvre, B.4
  • 30
    • 84994067085 scopus 로고    scopus 로고
    • Statistics over Lyapunov exponents for feature extraction: Electroencephalographic changes detection case
    • E.D. Ubeyli, and I. Guler Statistics over Lyapunov exponents for feature extraction: electroencephalographic changes detection case World Acad. Sci. Eng. Tech. 2 2005 132 135
    • (2005) World Acad. Sci. Eng. Tech. , vol.2 , pp. 132-135
    • Ubeyli, E.D.1    Guler, I.2
  • 31
    • 55549088178 scopus 로고    scopus 로고
    • Can we make a robot ballerina perform a pirouette? orbital stabilization of periodic motions of underactuated mechanical systems
    • A.S. Shiriaev, L.B. Freidovich, and I.R. Manchester Can we make a robot ballerina perform a pirouette? orbital stabilization of periodic motions of underactuated mechanical systems Annu. Rev. Control 32 2 2008 200 211
    • (2008) Annu. Rev. Control , vol.32 , Issue.2 , pp. 200-211
    • Shiriaev, A.S.1    Freidovich, L.B.2    Manchester, I.R.3
  • 32
    • 70349236844 scopus 로고    scopus 로고
    • Topological entropy and the controlled effect of glucose in the electrical activity of pancreatic β-cells
    • J. Duarte, C. Janurio, and N. Martins Topological entropy and the controlled effect of glucose in the electrical activity of pancreatic β-cells Physica D 238 21 2009 2129 2137
    • (2009) Physica D , vol.238 , Issue.21 , pp. 2129-2137
    • Duarte, J.1    Janurio, C.2    Martins, N.3
  • 33
    • 77649274639 scopus 로고    scopus 로고
    • Computation of symbolic dynamics for one-dimensional maps
    • L. Sella, and P. Collins Computation of symbolic dynamics for one-dimensional maps J. Comput. Appl. Math. 234 2010 418 436
    • (2010) J. Comput. Appl. Math. , vol.234 , pp. 418-436
    • Sella, L.1    Collins, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.