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Volumn 19, Issue 4, 2004, Pages 985-993

Constructing a new chaotic system based on the Šilnikov criterion

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); COMPUTER SIMULATION; PHASE EQUILIBRIA;

EID: 0042623485     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(03)00251-0     Document Type: Article
Times cited : (81)

References (27)
  • 1
    • 0036696341 scopus 로고    scopus 로고
    • On a generalized Lorenz canonical form of chaotic systems
    • Celikoský S., Chen G. On a generalized Lorenz canonical form of chaotic systems. Int. J. Bifur. Chaos. 12:2002;1789-1812.
    • (2002) Int. J. Bifur. Chaos , vol.12 , pp. 1789-1812
    • Celikoský, S.1    Chen, G.2
  • 2
    • 0038545775 scopus 로고    scopus 로고
    • Chaotification via feedback: The discrete case
    • Chen G.Yu X. Hill D.J. Berlin: Springer-Verlag
    • Chen G. Chaotification via feedback: the discrete case. Chen G., Yu X., Hill D.J. Chaos control. Chaos and bifurcation control: theory and applications. vol. I:2003;159-178 Springer-Verlag, Berlin.
    • (2003) Chaos Control. Chaos and Bifurcation Control: Theory and Applications , vol.1 , pp. 159-178
    • Chen, G.1
  • 4
    • 62249200922 scopus 로고    scopus 로고
    • Yet another chaotic attractor
    • Chen G., Ueta T. Yet another chaotic attractor. Int. J. Bifur. Chaos. 9:1999;1465-1466.
    • (1999) Int. J. Bifur. Chaos , vol.9 , pp. 1465-1466
    • Chen, G.1    Ueta, T.2
  • 5
    • 0001991757 scopus 로고
    • Homoclinic orbits, subharmonics and global bifurcation in forced oscillation
    • BarenblattG.IoossG.JosephD.D. Pitman
    • Greespan B.D., Holmes P.J. Homoclinic orbits, subharmonics and global bifurcation in forced oscillation. Barenblatt G., Iooss G., Joseph D.D. Nonlinear dynamics and turbulence. 1983;Pitman.
    • (1983) Nonlinear Dynamics and Turbulence
    • Greespan, B.D.1    Holmes, P.J.2
  • 8
    • 0000100336 scopus 로고
    • Periodic three implies chaos
    • Li T.Y., York J.A. Periodic three implies chaos. Am. Math. Monthly. 82:1975;985-992.
    • (1975) Am. Math. Monthly , vol.82 , pp. 985-992
    • Li, T.Y.1    York, J.A.2
  • 9
    • 0037246536 scopus 로고    scopus 로고
    • A new chaotic system and its generation
    • Liu W.B., Chen G. A new chaotic system and its generation. Int. J. Bifur. Chaos. 13:2003;261-267.
    • (2003) Int. J. Bifur. Chaos , vol.13 , pp. 261-267
    • Liu, W.B.1    Chen, G.2
  • 10
    • 0042388159 scopus 로고    scopus 로고
    • Can a three-dimensional smooth autonomous quadratic chaotic system generate a single four-scroll attractor?
    • in press
    • Liu WB, Chen G. Can a three-dimensional smooth autonomous quadratic chaotic system generate a single four-scroll attractor? Int J Bifur Chaos, in press.
    • Int J Bifur Chaos
    • Liu, W.B.1    Chen, G.2
  • 11
    • 0000241853 scopus 로고
    • Deterministic nonperiodic flow
    • Lorenz E.N. Deterministic nonperiodic flow. J. Atmos. Sci. 20(1):1963;130-141.
    • (1963) J. Atmos. Sci. , vol.20 , Issue.1 , pp. 130-141
    • Lorenz, E.N.1
  • 12
    • 0036722172 scopus 로고    scopus 로고
    • Chaos synchronization between linearly coupled chaotic systems
    • Lü J.H., Zhou T.S., Zhang S.C. Chaos synchronization between linearly coupled chaotic systems. Chaos, Solitons & Fractals. 14(4):2002;529-541.
    • (2002) Chaos, Solitons & Fractals , vol.14 , Issue.4 , pp. 529-541
    • Lü, J.H.1    Zhou, T.S.2    Zhang, S.C.3
  • 13
    • 0036011505 scopus 로고    scopus 로고
    • A new chaotic attractor coined
    • Lü J.H., Chen G. A new chaotic attractor coined. Int. J. Bifur. Chaos. 12:2002;659-661.
    • (2002) Int. J. Bifur. Chaos , vol.12 , pp. 659-661
    • Lü, J.H.1    Chen, G.2
  • 14
    • 0036722169 scopus 로고    scopus 로고
    • The compound structure of a new chaotic attractor
    • Lü J.H., Chen G., Zhang S.C. The compound structure of a new chaotic attractor. Chaos, Solitons & Fractals. 14:2002;669-672.
    • (2002) Chaos, Solitons & Fractals , vol.14 , pp. 669-672
    • Lü, J.H.1    Chen, G.2    Zhang, S.C.3
  • 15
    • 0001234956 scopus 로고
    • A case of the existence of a countable number of periodic motions
    • [translated by S. Puckette]
    • Sil'nikov L.P. A case of the existence of a countable number of periodic motions. Sov. Math. Docklady. 6:1965;163-166. [translated by S. Puckette].
    • (1965) Sov. Math. Docklady , vol.6 , pp. 163-166
    • Sil'nikov, L.P.1
  • 16
    • 84956230541 scopus 로고
    • A contribution of the problem of the structure of an extended neighborhood of rough equilibrium state of saddle-focus type
    • [translated by F.A. Cezus]
    • Sil'nikov L.P. A contribution of the problem of the structure of an extended neighborhood of rough equilibrium state of saddle-focus type. Math. U.S.S.R.-Shornik. 10:1970;91-102. [translated by F.A. Cezus].
    • (1970) Math. U.S.S.R.-Shornik , vol.10 , pp. 91-102
    • Sil'nikov, L.P.1
  • 17
    • 0027685164 scopus 로고
    • Sil'nikov theorem - A tutorial
    • Silva C.P. Sil'nikov theorem - a tutorial. IEEE Trans. Circ. Syst.-I. 40(10):1993;675-682.
    • (1993) IEEE Trans. Circ. Syst.-I , vol.40 , Issue.10 , pp. 675-682
    • Silva, C.P.1
  • 18
    • 33751555569 scopus 로고
    • Some simple chaotic flows
    • Sprott J.C. Some simple chaotic flows. Phys. Rev. E. 50:1994;R647-R650.
    • (1994) Phys. Rev. E , vol.50
    • Sprott, J.C.1
  • 19
    • 0034374714 scopus 로고    scopus 로고
    • Simple chaotic systems and circuits
    • Sprott J.C. Simple chaotic systems and circuits. Am. J. Phys. 68(8):2000;758-763.
    • (2000) Am. J. Phys. , vol.68 , Issue.8 , pp. 758-763
    • Sprott, J.C.1
  • 20
    • 0034645889 scopus 로고    scopus 로고
    • A new class of chaotic circuits
    • Sprott J.C. A new class of chaotic circuits. Phys. Lett. A. 266:2000;19-23.
    • (2000) Phys. Lett. A , vol.266 , pp. 19-23
    • Sprott, J.C.1
  • 22
    • 0042388160 scopus 로고
    • Tresser C. On some theorems of L.P. Sil'nikov and some applications. Preprint, Univ. of Nice, France, 1982; also abridged form in Anales l'Inst, Heri Poincré 1984;49:441-61.
    • (1984) Anales l'Inst, Heri Poincré , vol.49 , pp. 441-461
  • 23
    • 0034238522 scopus 로고    scopus 로고
    • Bifurcation analysis of Chen's equation
    • Ueta T., Chen G. Bifurcation analysis of Chen's equation. Int. J. Bifur. Chaos. 10:2000;1917-1931.
    • (2000) Int. J. Bifur. Chaos , vol.10 , pp. 1917-1931
    • Ueta, T.1    Chen, G.2
  • 24
    • 0039772222 scopus 로고    scopus 로고
    • Chaotification via arbitrarily small feedback control: Theory, method, and applications
    • Wang X.F., Chen G. Chaotification via arbitrarily small feedback control: Theory, method, and applications. Int. J. Bifur. Chaos. 10:2000;549-570.
    • (2000) Int. J. Bifur. Chaos , vol.10 , pp. 549-570
    • Wang, X.F.1    Chen, G.2
  • 25
    • 0017424051 scopus 로고    scopus 로고
    • The structure of Lorenz attractors
    • Bermard P. Ratiu T. Berlin: Springer-Verlag
    • Williams R. The structure of Lorenz attractors. Bermard P., Ratiu T. Turbulence Seminar Berkeley 1996/97. 1997;94-112 Springer-Verlag, Berlin.
    • (1997) Turbulence Seminar Berkeley 1996/97 , pp. 94-112
    • Williams, R.1
  • 26
    • 0037332676 scopus 로고    scopus 로고
    • Controlling uncertain Lü system using backstepping design
    • Yu Y.G., Zhang S.C. Controlling uncertain Lü system using backstepping design. Chaos, Solitons & Fractals. 15:2003;897-902.
    • (2003) Chaos, Solitons & Fractals , vol.15 , pp. 897-902
    • Yu, Y.G.1    Zhang, S.C.2
  • 27
    • 0042388161 scopus 로고    scopus 로고
    • Homoclinic and heteroclinic orbits in the Lorenz system
    • in press
    • Zhou TS. Homoclinic and heteroclinic orbits in the Lorenz system. Chaos, in press.
    • Chaos
    • Zhou, T.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.