메뉴 건너뛰기




Volumn 73, Issue 1-2, 2013, Pages 311-323

Introduction and synchronization of a five-term chaotic system with an absolute-value term

Author keywords

Chaos; Chaotic attractor; Chaotic system; Five term chaotic attractor; Lyapunov exponent

Indexed keywords

BIFURCATION DIAGRAM; CHAOTIC ATTRACTORS; FREQUENCY SPECTRA; HETEROCLINIC ORBIT; KAPLAN-YORKE DIMENSIONS; LYAPUNOV EXPONENT; NEW CHAOTIC SYSTEMS; NUMERICAL TOOLS;

EID: 84879788328     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-013-0786-y     Document Type: Article
Times cited : (15)

References (21)
  • 1
    • 0000241853 scopus 로고
    • Deterministic nonperiodic flow
    • 10.1175/1520-0469(1963)020<0130:DNF>2.0.CO;2
    • Lorenz, E.N.: Deterministic nonperiodic flow. J. Atmos. Sci. 20, 130-141 (1963)
    • (1963) J. Atmos. Sci. , vol.20 , pp. 130-141
    • Lorenz, E.N.1
  • 2
    • 67349148897 scopus 로고    scopus 로고
    • 3-scroll and 4-scroll chaotic attractors generated from a new 3-D quadratic autonomous system
    • 1204.70021 10.1007/s11071-008-9417-4
    • Wang, L.: 3-scroll and 4-scroll chaotic attractors generated from a new 3-D quadratic autonomous system. Nonlinear Dyn. 56, 453-462 (2009)
    • (2009) Nonlinear Dyn. , vol.56 , pp. 453-462
    • Wang, L.1
  • 3
    • 82255181190 scopus 로고    scopus 로고
    • Analysis of a new three dimensional chaotic system
    • 1244.34068 10.1007/s11071-011-9981-x
    • Zhang, X., Zhu, H., Yao, H.: Analysis of a new three dimensional chaotic system. Nonlinear Dyn. 67, 335-342 (2012)
    • (2012) Nonlinear Dyn. , vol.67 , pp. 335-342
    • Zhang, X.1    Zhu, H.2    Yao, H.3
  • 4
    • 80051801979 scopus 로고    scopus 로고
    • Dynamical properties and simulation of a new Lorenz-like chaotic system
    • 2826212 10.1007/s11071-010-9887-z
    • Li, X., Ou, Q.: Dynamical properties and simulation of a new Lorenz-like chaotic system. Nonlinear Dyn. 65, 255-270 (2011)
    • (2011) Nonlinear Dyn. , vol.65 , pp. 255-270
    • Li, X.1    Ou, Q.2
  • 5
    • 0242425114 scopus 로고    scopus 로고
    • Complex dynamical behaviors of the chaotic Chen's system
    • 2013113 1046.37018 10.1142/S0218127403008089
    • Zhou, T., Chen, G., Tang, Y.: Complex dynamical behaviors of the chaotic Chen's system. Int. J. Bifurc. Chaos 13, 2561-2574 (2003)
    • (2003) Int. J. Bifurc. Chaos , vol.13 , pp. 2561-2574
    • Zhou, T.1    Chen, G.2    Tang, Y.3
  • 6
    • 84867882409 scopus 로고    scopus 로고
    • Analysis and synchronization for a new fractional-order chaotic system with absolute value term
    • 10.1007/s11071-012-0480-5
    • Huang, L., Liu, A.: Analysis and synchronization for a new fractional-order chaotic system with absolute value term. Nonlinear Dyn. 70, 255-270 (2012)
    • (2012) Nonlinear Dyn. , vol.70 , pp. 255-270
    • Huang, L.1    Liu, A.2
  • 7
    • 19044380601 scopus 로고    scopus 로고
    • Control of chaos: Methods and applications
    • 10.1016/j.arcontrol.2005.01.001
    • Fradkov, A.L., Evans, R.J.: Control of chaos: methods and applications. Annu. Rev. Control 29, 33-66 (2004)
    • (2004) Annu. Rev. Control , vol.29 , pp. 33-66
    • Fradkov, A.L.1    Evans, R.J.2
  • 8
    • 0041634867 scopus 로고    scopus 로고
    • Non-chaotic behavior in three-dimensional quadratic systems
    • 1473384 0909.34041 10.1088/0951-7715/10/5/014
    • Zhang, F., Jack, H.: Non-chaotic behavior in three-dimensional quadratic systems. Nonlinearity 10, 1289-1303 (1997)
    • (1997) Nonlinearity , vol.10 , pp. 1289-1303
    • Zhang, F.1    Jack, H.2
  • 9
    • 33751555569 scopus 로고
    • Some simple chaotic flows
    • 1381868 10.1103/PhysRevE.50.R647
    • Sprott, J.C.: Some simple chaotic flows. Phys. Rev. E 50, 647-650 (1994)
    • (1994) Phys. Rev. e , vol.50 , pp. 647-650
    • Sprott, J.C.1
  • 11
    • 74249108231 scopus 로고    scopus 로고
    • A new five-term simple chaotic attractor
    • 2556256 1234.37030 10.1016/j.physleta.2009.08.068
    • Munmuangsaen, B., Srisuchinwong, B.: A new five-term simple chaotic attractor. Phys. Lett. A 373, 4038-4043 (2009)
    • (2009) Phys. Lett. A , vol.373 , pp. 4038-4043
    • Munmuangsaen, B.1    Srisuchinwong, B.2
  • 13
    • 84879787329 scopus 로고    scopus 로고
    • Simple and robust control and synchronization of Lorenz system
    • in press
    • Kim, D., Chang, P.H., Gillespie, R.B.: Simple and robust control and synchronization of Lorenz system. Nonlinear Dyn. (2013, in press)
    • (2013) Nonlinear Dyn.
    • Kim, D.1    Chang, P.H.2    Gillespie, R.B.3
  • 14
    • 67649348486 scopus 로고    scopus 로고
    • Simple robust technique using time delay estimation for the control and synchronization of Lorenz systems
    • 1198.93161 10.1016/j.chaos.2008.09.055
    • Jin, M., Chang, P.H.: Simple robust technique using time delay estimation for the control and synchronization of Lorenz systems. Chaos Solitons Fractals 41, 2672-2680 (2009)
    • (2009) Chaos Solitons Fractals , vol.41 , pp. 2672-2680
    • Jin, M.1    Chang, P.H.2
  • 15
    • 0004178386 scopus 로고    scopus 로고
    • 3 Prentice-Hall New York 1003.34002
    • Khalil, H.K.: Nonlinear Systems, 3rd edn. Prentice-Hall, New York (2002)
    • (2002) Nonlinear Systems
    • Khalil, H.K.1
  • 16
    • 0009520409 scopus 로고
    • Strange attractors, chaotic behavior, and information flow
    • Shaw, R.: Strange attractors, chaotic behavior, and information flow. Z. Naturforsch. 36A, 80 (1981)
    • (1981) Z. Naturforsch. , vol.36 , pp. 80
    • Shaw, R.1
  • 17
    • 0008494528 scopus 로고
    • Determining Lyapunov exponents from a time series
    • 805706 0585.58037 10.1016/0167-2789(85)90011-9
    • Wolf, A., Swift, J.B., Swinney, H.L., Vastano, J.A.: 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.B.2    Swinney, H.L.3    Vastano, J.A.4
  • 18
    • 34848878319 scopus 로고    scopus 로고
    • Maximally complex simple attractors
    • 033124 2356976 10.1063/1.2781570
    • Sprott, J.C.: Maximally complex simple attractors. Chaos 17, 033124 (2007)
    • (2007) Chaos , vol.17
    • Sprott, J.C.1
  • 20
    • 0001177874 scopus 로고    scopus 로고
    • Synchronizing hyperchaos with a scalar transmitted signal
    • 10.1103/PhysRevLett.76.904
    • Peng, J.H., Ding, E.J., Ding, M., Yang, W.: Synchronizing hyperchaos with a scalar transmitted signal. Phys. Rev. Lett. 76, 904 (1996)
    • (1996) Phys. Rev. Lett. , vol.76 , pp. 904
    • Peng, J.H.1    Ding, E.J.2    Ding, M.3    Yang, W.4
  • 21
    • 80052787056 scopus 로고    scopus 로고
    • An FPGA real-time implementation of the Chen's chaotic system for securing chaotic communications
    • 2539179
    • Sadoudi, S., Azzaz, M.S., Djeddou, M., Benssalah, M.: An FPGA real-time implementation of the Chen's chaotic system for securing chaotic communications. Int. J. Nonlinear Sci. 7, 467-474 (2009)
    • (2009) Int. J. Nonlinear Sci. , vol.7 , pp. 467-474
    • Sadoudi, S.1    Azzaz, M.S.2    Djeddou, M.3    Benssalah, M.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.