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Volumn 14, Issue 9, 2004, Pages 3167-3177

Chen's attractor exists

Author keywords

Chen's attractor; Heteroclinic orbit; Homoclinic orbit; i'lnikov criterion

Indexed keywords

COMPUTER GRAPHICS; COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; EIGENVALUES AND EIGENFUNCTIONS; FREQUENCY DOMAIN ANALYSIS; ORBITS; THEOREM PROVING;

EID: 10444267277     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127404011296     Document Type: Article
Times cited : (144)

References (16)
  • 1
  • 2
    • 0036696341 scopus 로고    scopus 로고
    • On a generalized Lorenz canonical form of chaotic systems
    • Čelikovský, S. & Chen, G. [2002] "On a generalized Lorenz canonical form of chaotic systems," Int. J. Bifurcation and Chaos 12, 1789-1812.
    • (2002) Int. J. Bifurcation and Chaos , vol.12 , pp. 1789-1812
    • Čelikovský, S.1    Chen, G.2
  • 5
    • 0000100336 scopus 로고
    • Period three implies chaos
    • Li, T. Y. & Yorke, J. A. [1975] "Period three implies chaos," Amer. Math. Monthly 82, 985-992.
    • (1975) Amer. Math. Monthly , vol.82 , pp. 985-992
    • Li, T.Y.1    Yorke, J.A.2
  • 6
    • 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
  • 8
    • 0001234956 scopus 로고
    • A case of the existence of a countable number of periodic motions
    • translated by S. Puckette
    • Shi'lnikov, L. P. [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
    • Shi'lnikov, L.P.1
  • 9
    • 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
    • Shi'lnikov, L. P. [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
    • Shi'lnikov, L.P.1
  • 10
    • 0027685164 scopus 로고
    • Shi'lnikov theorem - A tutorial
    • Silva, C. P. [1993] "Shi'lnikov 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
  • 12
    • 0033563546 scopus 로고    scopus 로고
    • The Lorenz attractor exists
    • Tucker, W. [1999] "The Lorenz attractor exists," C. R. Acad. Paris Ser. I Math. 328, 1197-1202.
    • (1999) C. R. Acad. Paris Ser. I Math. , vol.328 , pp. 1197-1202
    • Tucker, W.1
  • 13
    • 0034238522 scopus 로고    scopus 로고
    • Bifurcation analysis of Chen's attractor
    • Ueta, T. & Chen, G. [2000] "Bifurcation analysis of Chen's attractor," 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
  • 16
    • 0242425114 scopus 로고    scopus 로고
    • The complex dynamical behaviors of the chaotic Chen's system
    • Zhou, T. S., Chen, G. & Tang, Y. [2003] "The complex dynamical behaviors of the chaotic Chen's system," Int. J. Bifurcation and Chaos 13, 2561-2574.
    • (2003) Int. J. Bifurcation and Chaos , vol.13 , pp. 2561-2574
    • Zhou, T.S.1    Chen, G.2    Tang, Y.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.