메뉴 건너뛰기




Volumn 18, Issue 5, 2008, Pages 1393-1414

A chaotic system with one saddle and two stable node-foci

Author keywords

Bifurcation; Chaos; Chen system; Lorenz system; L system; Lyapunov exponent

Indexed keywords

BIFURCATION (MATHEMATICS); CHAOS THEORY; DIFFERENTIAL EQUATIONS; LYAPUNOV FUNCTIONS; LYAPUNOV METHODS; PERIODIC STRUCTURES;

EID: 47749084301     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127408021063     Document Type: Article
Times cited : (184)

References (26)
  • 2
    • 0000863462 scopus 로고
    • Bilinear systems and chaos
    • Čelikovský, S. & Vančěk, A. [1994] "Bilinear systems and chaos," Kybernetika 30, 403-424.
    • (1994) Kybernetika , vol.30 , pp. 403-424
    • Čelikovský, S.1    Vančěk, A.2
  • 3
    • 0036696341 scopus 로고    scopus 로고
    • Čelikovský, S. & Chen, G. [2002a] On a generalized Lorenz canonical form of chaotic systems, Int. J. Bifurcation and Chaos 12, 1789-1812.
    • Čelikovský, S. &" Chen, G. [2002a] "On a generalized Lorenz canonical form of chaotic systems," Int. J. Bifurcation and Chaos 12, 1789-1812.
  • 4
    • 14544275749 scopus 로고    scopus 로고
    • Hyperbolic-type generalized Lorenz system and its canonical form
    • Barcelona, Spain, July, in CD ROM
    • Čelikovský, S. & Chen, G. [2002b] "Hyperbolic-type generalized Lorenz system and its canonical form," Proc. 15th Triennial World Congress of IFAG, Barcelona, Spain, July 2002, in CD ROM.
    • (2002) Proc. 15th Triennial World Congress of IFAG
    • Čelikovský, S.1    Chen, G.2
  • 5
    • 20444502538 scopus 로고    scopus 로고
    • On the generalized Lorenz canonical form
    • Čelikovský S. & Chen, G. [2005] "On the generalized Lorenz canonical form," Chaos Solit. Fract. 26, 1271-1276.
    • (2005) Chaos Solit. Fract , vol.26 , pp. 1271-1276
    • Čelikovský, S.1    Chen, G.2
  • 7
    • 0942288517 scopus 로고    scopus 로고
    • The chaotic region of Lorenz-type system in the parameter space
    • Liao, H. H., Zhou, T. S. & Tang, Y. [2004] "The chaotic region of Lorenz-type system in the parameter space," Chaos Solit. Fract. 21, 185-192.
    • (2004) Chaos Solit. Fract , vol.21 , pp. 185-192
    • Liao, H.H.1    Zhou, T.S.2    Tang, Y.3
  • 8
  • 10
  • 11
    • 0038434713 scopus 로고
    • A multiplicative ergodic theorem, characteristic Lyapunov exponents of dynamical systems
    • Oselede, V. I. [1968] "A multiplicative ergodic theorem, characteristic Lyapunov exponents of dynamical systems," Trudy Moskov. Mat. Obshch. 19, 179-210.
    • (1968) Trudy Moskov. Mat. Obshch , vol.19 , pp. 179-210
    • Oselede, V.I.1
  • 14
    • 0034738985 scopus 로고    scopus 로고
    • The Lorenz attractor exists
    • Stewart, I. [2002] "The Lorenz attractor exists," Nature 406, 948-949.
    • (2002) Nature , vol.406 , pp. 948-949
    • Stewart, I.1
  • 15
    • 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
  • 16
    • 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
  • 17
    • 47749125549 scopus 로고    scopus 로고
    • Vanečěk, A. Čelikovský Č elikovský, S. [1996] Control Systems: From Linear Analysis to Synthesis of Chaos (Prentice-Hall, London).
    • Vanečěk, A. Čelikovský Č elikovský, S. [1996] Control Systems: From Linear Analysis to Synthesis of Chaos (Prentice-Hall, London).
  • 18
    • 0017424051 scopus 로고    scopus 로고
    • The structure of Lorenz attractors
    • eds. Bermard, P. & Ratiu, T, Springer-Verlag, Berlin, pp
    • Williams, R. [1997] "The structure of Lorenz attractors," in Turbulence Seminar Berkeley 1996/97, eds. Bermard, P. & Ratiu, T. (Springer-Verlag, Berlin), pp. 94-112.
    • (1997) Turbulence Seminar Berkeley 1996/97 , pp. 94-112
    • Williams, R.1
  • 19
    • 33845517878 scopus 로고    scopus 로고
    • A unified Lorenz-type system and its canonical form
    • Yang, Q. G., Chen, G. & Zhou, T. S. [2006] "A unified Lorenz-type system and its canonical form," Int. J. Bifurcation and Chaos 16, 2855-2871.
    • (2006) Int. J. Bifurcation and Chaos , vol.16 , pp. 2855-2871
    • Yang, Q.G.1    Chen, G.2    Zhou, T.S.3
  • 20
    • 39449106074 scopus 로고    scopus 로고
    • Chaotic attractors of the conjugate Lorenz-type system
    • Yang, Q. G., Chen, G. & Huang, K. F. [2007] "Chaotic attractors of the conjugate Lorenz-type system," Int. J. Bifurcation and Chaos 17, 3929-3949.
    • (2007) Int. J. Bifurcation and Chaos , vol.17 , pp. 3929-3949
    • Yang, Q.G.1    Chen, G.2    Huang, K.F.3
  • 21
    • 0242425114 scopus 로고    scopus 로고
    • Complex dynamical behaviors of the chaotic Chen's system
    • Zhou, T. S., Chen, G. & Tang, Y. [2003] "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
  • 23
    • 0347355136 scopus 로고    scopus 로고
    • A universal unfolding of the Lorenz system
    • Zhou, T. S., Chen, G. & Tang, Y. [2004b] "A universal unfolding of the Lorenz system," Chaos Solit. Fract. 20, 979-993.
    • (2004) Chaos Solit. Fract , vol.20 , pp. 979-993
    • Zhou, T.S.1    Chen, G.2    Tang, Y.3
  • 24
    • 0041621573 scopus 로고    scopus 로고
    • The complicated trajectory behaviors in the Lorenz system
    • Zhou, T. S., Liao, H. H., Zheng, Z. H. & Tang, Y. [2004c] "The complicated trajectory behaviors in the Lorenz system," Chaos Solit. Fract. 19, 863-873.
    • (2004) Chaos Solit. Fract , vol.19 , pp. 863-873
    • Zhou, T.S.1    Liao, H.H.2    Zheng, Z.H.3    Tang, Y.4
  • 25
    • 15544370574 scopus 로고    scopus 로고
    • Si'lnikov chaos in the generalized Lorenz canonical form of dynamics systems
    • Zhou, T. S., Chen, G. & Čelikovský, S. [2005] "Si'lnikov chaos in the generalized Lorenz canonical form of dynamics systems," Nonlin. Dyn. 39, 319-334.
    • (2005) Nonlin. Dyn , vol.39 , pp. 319-334
    • Zhou, T.S.1    Chen, G.2    Čelikovský, S.3
  • 26
    • 37849184991 scopus 로고    scopus 로고
    • Classification of chaos in 3-D autonomous quadratic systems - I. Basic framework and methods
    • Zhou, T. S. & Chen, G. [2006] "Classification of chaos in 3-D autonomous quadratic systems - I. Basic framework and methods," Int. J. Bifurcation and Chaos 16, 2459-2479.
    • (2006) Int. J. Bifurcation and Chaos , vol.16 , pp. 2459-2479
    • Zhou, T.S.1    Chen, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.