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Volumn 14, Issue 5, 2004, Pages 1795-1799

A simple smooth chaotic system with A 3-layer attractor

Author keywords

3 layer attractor; Chaotic attractor; Smooth chaotic system

Indexed keywords

BIFURCATION (MATHEMATICS); FEEDBACK CONTROL; MATHEMATICAL OPERATORS; NONLINEAR SYSTEMS; PARAMETER ESTIMATION; POLYNOMIALS;

EID: 0942266242     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127404010175     Document Type: Article
Times cited : (23)

References (15)
  • 3
    • 0038545775 scopus 로고    scopus 로고
    • Chaotification via feedback: The discrete case
    • eds. Chen, G. & Yu, X. (Springer-Verlag, Berlin)
    • Chen, G. [2003] "Chaotification via feedback: the discrete case," in Chaos Control: Theory and Applications, eds. Chen, G. & Yu, X. (Springer-Verlag, Berlin), pp. 159-178.
    • (2003) Chaos Control: Theory and Applications , pp. 159-178
    • Chen, G.1
  • 4
    • 0000241853 scopus 로고
    • Deterministic nonperiodic flow
    • Lorenz, E. N. [1963] "Deterministic nonperiodic flow," J. Atmos. Sci. 20, 130-141.
    • (1963) J. Atmos. Sci. , vol.20 , pp. 130-141
    • Lorenz, E.N.1
  • 5
    • 49549126801 scopus 로고
    • An equation for continuous chaos
    • Rössler, O. E. [1976] "An equation for continuous chaos," Phys. Lett. 57A, 397-398.
    • (1976) Phys. Lett. , vol.57 A , pp. 397-398
    • Rössler, O.E.1
  • 6
    • 0001234956 scopus 로고
    • A case of the existence of a countable number of periodic motions
    • translated by S. Puckette
    • Šil'nikov, L. S. [1965] "A case of the existence of a countable number of periodic motions," Sov. Math. Docklady 6, 163-166 (translated by S. Puckette).
    • (1965) Sov. Math. Docklady , vol.6 , pp. 163-166
    • Šil'nikov, L.S.1
  • 7
    • 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
    • Šil'nikov, L. S. [1970] "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, 91-102 (translated by F. A. Cezus).
    • (1970) Math. U.S.S.R.-Shornik , vol.10 , pp. 91-102
    • Šil'nikov, L.S.1
  • 8
    • 0027685164 scopus 로고
    • Šil'nikov theorem - A tutorial
    • Silva, C. P. [1993] "Šil'nikov theorem - a tutorial," IEEE Trans. Circuits. Syst.-I 40, 675-682.
    • (1993) IEEE Trans. Circuits. Syst.-I , vol.40 , pp. 675-682
    • Silva, C.P.1
  • 9
    • 33751555569 scopus 로고
    • Some simple chaotic flows
    • Sprott, J. C. [1994] "Some simple chaotic flows," Phys. Rev. E50, R647-IR650.
    • (1994) Phys. Rev. , vol.E50
    • Sprott, J.C.1
  • 10
    • 0034374714 scopus 로고    scopus 로고
    • Simple chaotic systems and circuits
    • Sprott, J. C. [2000a] "Simple chaotic systems and circuits," Amer. J. Phys. 68, 758-763.
    • (2000) Amer. J. Phys. , vol.68 , pp. 758-763
    • Sprott, J.C.1
  • 11
    • 0034645889 scopus 로고    scopus 로고
    • A new class of chaotic circuits
    • Sprott, J. C. [2000b] "A new class of chaotic circuits," Phys. Lett. A266 (2000), 19-23.
    • (2000) Phys. Lett. , vol.A266 , Issue.2000 , pp. 19-23
    • Sprott, J.C.1
  • 12
    • 0034238522 scopus 로고    scopus 로고
    • Bifurcation analysis of Chen's equation
    • Ueta, T. & Chen, G. [2000] "Bifurcation analysis of Chen's equation," Int. J. Bifurcation and Chaos 10, 1917-1931.
    • (2000) Int. J. Bifurcation and Chaos , vol.10 , pp. 1917-1931
    • Ueta, T.1    Chen, G.2
  • 13
    • 0039772222 scopus 로고    scopus 로고
    • Chaotification via arbitrarily small feedback control: Theory, method, and applications
    • Wang, X. F. & Chen, G. [2000] "Chaotification via arbitrarily small feedback control: Theory, method, and applications," Int. J. Bifurcation and Chaos 10, 549-570.
    • (2000) Int. J. Bifurcation and Chaos , vol.10 , pp. 549-570
    • Wang, X.F.1    Chen, G.2
  • 14
    • 5744234503 scopus 로고    scopus 로고
    • Single state-feedback chaotification of discrete dynamical systems
    • Zheng, Y. G. & Chen, G. [2004] "Single state-feedback chaotification of discrete dynamical systems," Int. J. Bifurcation and Chaos 14, 279-284.
    • (2004) Int. J. Bifurcation and Chaos , vol.14 , pp. 279-284
    • Zheng, Y.G.1    Chen, G.2
  • 15
    • 0042388161 scopus 로고    scopus 로고
    • Homoclinic and heteroclinic orbits in the Lorenz system
    • to appear
    • Zhou, T. S. [2004] "Homoclinic and heteroclinic orbits in the Lorenz system," Chaos, to appear.
    • (2004) Chaos
    • Zhou, T.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.