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Volumn 44, Issue 1, 2008, Pages 35-42

Hopf bifurcation analysis of some hyperchaotic systems with time-delay controllers

Author keywords

Hopf bifurcation; Hyperchaotic chen system; Hyperchaotic Lorenz system; Hyperchaotic Lu system; Multiple time delays and parameters; Periodic solution

Indexed keywords


EID: 44449143967     PISSN: 00235954     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (17)

References (9)
  • 1
    • 33645149365 scopus 로고    scopus 로고
    • Generating hyperchaotic Lu attractor via state feedback control
    • A. M. Chen, J. A. Lu, J. H. Lu, and S. M. Yu: Generating hyperchaotic Lu attractor via state feedback control. Physica A 364 (2006), 103-110.
    • (2006) Physica A , vol.364 , pp. 103-110
    • Chen, A.M.1    Lu, J.A.2    Lu, J.H.3    Yu, S.M.4
  • 2
    • 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 (1985), 285-317.
    • (1985) Physica D , vol.16 , pp. 285-317
    • Wolf, A.1    Swift, J.B.2    Swinney, H.L.3    Vastano, J.A.4
  • 3
    • 0347130009 scopus 로고    scopus 로고
    • Stability and bifurcation in a neural network model with two delays
    • J. J. Wei and S. G. Ruan: Stability and bifurcation in a neural network model with two delays. Physica D 130 (1999), 255-272.
    • (1999) Physica D , vol.130 , pp. 255-272
    • Wei, J.J.1    Ruan, S.G.2
  • 4
    • 0002904424 scopus 로고
    • An improved method for estimating Liapunov exponents of chaotic time series
    • K. Briggs: An improved method for estimating Liapunov exponents of chaotic time series. Phys. Lett. A 151 (1990), 27-32.
    • (1990) Phys. Lett. A , vol.151 , pp. 27-32
    • Briggs, K.1
  • 5
    • 0000209631 scopus 로고
    • Discrete delay, distribute delay and stability switches
    • K. L. Cooke and Z. Grossman: Discrete delay, distribute delay and stability switches. J. Math. Anal. Appl. 86 (1982), 592-627.
    • (1982) J. Math. Anal. Appl , vol.86 , pp. 592-627
    • Cooke, K.L.1    Grossman, Z.2
  • 6
    • 0001082564 scopus 로고    scopus 로고
    • Bifurcation, stability and monotonicity properties of a delayed neural network model
    • L. Olien and J. Belair: Bifurcation, stability and monotonicity properties of a delayed neural network model. Physica D 102 (1997), 349-363.
    • (1997) Physica D , vol.102 , pp. 349-363
    • Olien, L.1    Belair, J.2
  • 7
    • 0000156923 scopus 로고
    • Linear autonomous neutral functional differential equations
    • N. D. Heyes: Linear autonomous neutral functional differential equations. J. Differential Equations 15 (1974), 106-128.
    • (1974) J. Differential Equations , vol.15 , pp. 106-128
    • Heyes, N.D.1
  • 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 (2007), 217-222.
    • (2007) Phys. Lett. A , vol.366 , pp. 217-222
    • Jia, Q.1
  • 9
    • 44449179696 scopus 로고    scopus 로고
    • R. Datko: A procedure for determination of the exponential stability of certain differential difference equations. Quart. Appl. Math. 36 (1978), 279-292. [10] X. J. Wu: Chaos synchronization of the new hyperchaotic Chen system via nonlinear control. Acta Phys. Sinica 22 (2006), 12, 6261-6266.
    • R. Datko: A procedure for determination of the exponential stability of certain differential difference equations. Quart. Appl. Math. 36 (1978), 279-292. [10] X. J. Wu: Chaos synchronization of the new hyperchaotic Chen system via nonlinear control. Acta Phys. Sinica 22 (2006), 12, 6261-6266.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.