메뉴 건너뛰기




Volumn 39, Issue 4, 2005, Pages 319-334

Ši'lnikov chaos in the generalized lorenz canonical form of dynamical systems

Author keywords

Generalized Lorenz canonical form; Heteroclinic orbit; i'lnikov criterion

Indexed keywords

COMPUTER SIMULATION; DYNAMICS; LINEAR SYSTEMS; MATRIX ALGEBRA; NUMERICAL ANALYSIS; SET THEORY;

EID: 15544370574     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-005-4195-8     Document Type: Article
Times cited : (80)

References (19)
  • 2
    • 0000863462 scopus 로고
    • Bilinear systems and chaos
    • Čelikovský, S. and VanéČek, A., 'Bilinear systems and chaos', Kybernetika 30, 1994, 403-424.
    • (1994) Kybernetika , vol.30 , pp. 403-424
    • Čelikovský, S.1    Vanéček, A.2
  • 7
    • 0001234956 scopus 로고
    • A case of the existence of a countable number of periodic motions
    • translated by S. Puckette
    • Ši'lnikov, L. P., 'A case of the existence of a countable number of periodic motions', Soviet Mathematics Docklady 6, 1965, 163-166, translated by S. Puckette.
    • (1965) Soviet Mathematics Docklady , vol.6 , pp. 163-166
    • Ši'lnikov, L.P.1
  • 8
    • 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
    • Ši'lnikov, L. P., 'A contribution of the problem of the structure of an extended neighborhood of rough equilibrium state of saddle-focus type', Mathematics U.S.S.R.-Shornik 10, 1970, 91-102, translated by F. A. Cezus.
    • (1970) Mathematics U.S.S.R.-Shornik , vol.10 , pp. 91-102
    • Ši'Lnikov, L.P.1
  • 9
    • 49549126801 scopus 로고    scopus 로고
    • An equation for continuous chaos
    • Rössler, O. E., 'An equation for continuous chaos', Physics Letters A 57, 1996, 397-398.
    • (1996) Physics Letters A , vol.57 , pp. 397-398
    • Rössler, O.E.1
  • 15
    • 0942266242 scopus 로고    scopus 로고
    • A simple smooth chaotic system with a 3-layer attractor
    • Zhou, T. S. and Chen, G., 'A simple smooth chaotic system with a 3-layer attractor', International Journal of Bifurcation and Chaos 14(5), 2004, 1795-1799.
    • (2004) International Journal of Bifurcation and Chaos , vol.14 , Issue.5 , pp. 1795-1799
    • Zhou, T.S.1    Chen, G.2
  • 18
    • 0042623485 scopus 로고    scopus 로고
    • Constructing a new chaotic system based on Ši'lnikov criterion
    • Zhou, T. S., Chen, G., and Yang, Q. G., 'Constructing a new chaotic system based on Ši'lnikov criterion', Chaos, Solitons and Fractals 19(4), 2003, 985-993.
    • (2003) Chaos, Solitons and Fractals , vol.19 , Issue.4 , pp. 985-993
    • Zhou, T.S.1    Chen, G.2    Yang, Q.G.3
  • 19
    • 0041621573 scopus 로고    scopus 로고
    • The complicated trajectory behaviors in the Lorenz system
    • Zhou, T. S., Liao, H. H., Zheng, Z. H., and Tang, Y., 'The complicated trajectory behaviors in the Lorenz system', Chaos, Solitons and Fractals 19(4), 2003, 863-873.
    • (2003) Chaos, Solitons and Fractals , vol.19 , Issue.4 , pp. 863-873
    • Zhou, T.S.1    Liao, H.H.2    Zheng, Z.H.3    Tang, Y.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.