메뉴 건너뛰기




Volumn 17, Issue 11, 2007, Pages 3929-3949

Chaotic attractors of the conjugate Lorenz-type system

Author keywords

Chaos; Chen system; Conjugate Lorenz type system; Hopf bifurcation; Lorenz system; Lu system; Lyapunov exponent

Indexed keywords

COMPUTER SIMULATION; HOPF BIFURCATION; LYAPUNOV FUNCTIONS; PARAMETERIZATION; SYSTEMS ENGINEERING;

EID: 39449106074     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127407019792     Document Type: Article
Times cited : (49)

References (35)
  • 1
    • 0040689421 scopus 로고    scopus 로고
    • Lie algebras, structure of nonlinear systems and chaotic motion
    • Banks, S. P. & McCaffrey, D. [1998] "Lie algebras, structure of nonlinear systems and chaotic motion," Int. J. Bifurcation and Chaos 8, 1-26.
    • (1998) Int. J. Bifurcation and Chaos , vol.8 , pp. 1-26
    • Banks, S.P.1    McCaffrey, D.2
  • 2
    • 0033177290 scopus 로고    scopus 로고
    • Analysis and structure of a new chaotic system
    • Banks, S. P. [1999] "Analysis and structure of a new chaotic system," Int. J. Bifurcation and Chaos 9, 1571-1583.
    • (1999) Int. J. Bifurcation and Chaos , vol.9 , pp. 1571-1583
    • Banks, S.P.1
  • 6
    • 0036696341 scopus 로고    scopus 로고
    • On a generalized Lorenz canonical form of chaotic systems
    • Čelikovský, S. & Chen, G. [2002a] "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
  • 7
    • 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 IFAC, Barcelona, Spain, July 2002, in CD ROM.
    • (2002) Proc. 15th Triennial World Congress of IFAC
    • Čelikovský, S.1    Chen, G.2
  • 8
    • 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
  • 12
    • 0003743336 scopus 로고
    • World Scientific, Singapore
    • Hao, B. L. [1984] Chaos (World Scientific, Singapore).
    • (1984) Chaos
    • Hao, B.L.1
  • 13
    • 0034262484 scopus 로고    scopus 로고
    • Synchronization with message embedded for generalized Lorenz chaotic circuits and its error analysis
    • Lian, K. & Liu, P. [2000] "Synchronization with message embedded for generalized Lorenz chaotic circuits and its error analysis," IEEE Trans. Circ. Syst.-I 47, 1418-1424.
    • (2000) IEEE Trans. Circ. Syst.-I , vol.47 , pp. 1418-1424
    • Lian, K.1    Liu, P.2
  • 14
    • 0942288517 scopus 로고    scopus 로고
    • The chaotic region of Lorenz-type system in the parameter space
    • Liao, H., Zhou, T. & 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.1    Zhou, T.2    Tang, Y.3
  • 15
    • 13444282811 scopus 로고    scopus 로고
    • Dynamical analysis of a chaotic system with two double-scroll chaotic attractors
    • Liu, W. & Chen, G. [2004] "Dynamical analysis of a chaotic system with two double-scroll chaotic attractors," Int. J. Bifurcation and Chaos 14, 971-998.
    • (2004) Int. J. Bifurcation and Chaos , vol.14 , pp. 971-998
    • Liu, W.1    Chen, G.2
  • 16
    • 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
  • 19
    • 0036592279 scopus 로고    scopus 로고
    • Generating chaos with a switching piecewise-linear controller
    • Lü, J., Zhou, T., Chen, G. & Yang, X. [2002b] "Generating chaos with a switching piecewise-linear controller," Chaos 12, 344-349.
    • (2002) Chaos , vol.12 , pp. 344-349
    • Lü, J.1    Zhou, T.2    Chen, G.3    Yang, X.4
  • 20
    • 13844267806 scopus 로고    scopus 로고
    • On the generalized Lorenz canonical form
    • Lü, J. & Chen, G. [2004] "On the generalized Lorenz canonical form," Int. J. Bifurcation and Chaos 14, 1507-1537.
    • (2004) Int. J. Bifurcation and Chaos , vol.14 , pp. 1507-1537
    • Lü, J.1    Chen, G.2
  • 21
    • 0002403778 scopus 로고
    • Chaos in the Lorenz equations: A computer-assisted proof
    • Mischaikow, K. & Mrozek, M. [1995] "Chaos in the Lorenz equations: A computer-assisted proof," Bull. AMS (New Series) 32, 66-72.
    • (1995) Bull. AMS (New Series) , vol.32 , pp. 66-72
    • Mischaikow, K.1    Mrozek, M.2
  • 23
    • 18144402417 scopus 로고    scopus 로고
    • Analysis of a new chaotic system
    • Qi, G., Chen, G. & Du, S. Z. [2005] "Analysis of a new chaotic system," Physica A 352, 295-308.
    • (2005) Physica A , vol.352 , pp. 295-308
    • Qi, G.1    Chen, G.2    Du, S.Z.3
  • 25
    • 0002048562 scopus 로고
    • On the bifurcation of a symmetric limit cycle to an asymmetric one in a simple model
    • Shimizu, T. & Morioka, N. [1976] "On the bifurcation of a symmetric limit cycle to an asymmetric one in a simple model," Phys. Lett. A 76, 201-204.
    • (1976) Phys. Lett. A , vol.76 , pp. 201-204
    • Shimizu, T.1    Morioka, N.2
  • 27
    • 0007678353 scopus 로고    scopus 로고
    • Deterministic chaos seen in terms of feedback circuits: Analysis, synthesis, 'labyrinth chaos', Int
    • Thomas, R. [1999] "Deterministic chaos seen in terms of feedback circuits: Analysis, synthesis, 'labyrinth chaos'," Int. J. Bifurcation and Chaos 9, 1889-1905.
    • (1999) J. Bifurcation and Chaos , vol.9 , pp. 1889-1905
    • Thomas, R.1
  • 28
    • 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
  • 29
    • 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
  • 30
    • 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
  • 31
    • 0242425114 scopus 로고    scopus 로고
    • Complex dynamical behaviors of the chaotic Chen's system
    • Zhou, T. S., Chen, G. & Tang, Y. [2003a] "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
  • 32
    • 0042623485 scopus 로고    scopus 로고
    • Constructing a new chaotic system based on the Silnikov criterion
    • Zhou, T. S., Chen, G. & Yang, Q. G. [2003b] "Constructing a new chaotic system based on the Silnikov criterion," Chaos Solit. Fract. 19, 985-993.
    • (2003) Chaos Solit. Fract , vol.19 , pp. 985-993
    • Zhou, T.S.1    Chen, G.2    Yang, Q.G.3
  • 33
    • 0942266242 scopus 로고    scopus 로고
    • A simple smooth chaotic system with a 3-layer attractor
    • Zhou, T. S. & Chen, G. [2004] "A simple smooth chaotic system with a 3-layer attractor," Int. J. Bifurcation and Chaos 14, 1795-1799.
    • (2004) Int. J. Bifurcation and Chaos , vol.14 , pp. 1795-1799
    • Zhou, T.S.1    Chen, G.2
  • 34
    • 10444267277 scopus 로고    scopus 로고
    • Zhou, T. S., Chen, G. & Tang, Y. [2004] Chen's attractor exists, Int. J. Bifurcation and Chaos 14, 31673178.
    • Zhou, T. S., Chen, G. & Tang, Y. [2004] "Chen's attractor exists," Int. J. Bifurcation and Chaos 14, 31673178.
  • 35
    • 15544370574 scopus 로고    scopus 로고
    • Si'lnikov chaos in the generalized Lorenz canonical form of dynamics systems
    • Zhou, T. S., Chen, G. & Čelikovsḱ, 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    Čelikovsḱ, S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.