메뉴 건너뛰기




Volumn 27, Issue 4, 2006, Pages 895-904

Bifurcations of forced oscillators with fuzzy uncertainties by the generalized cell mapping method

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); CHAOS THEORY; MATHEMATICAL MODELS; MEMBERSHIP FUNCTIONS;

EID: 24344433500     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2005.04.118     Document Type: Article
Times cited : (19)

References (30)
  • 1
    • 0001442705 scopus 로고
    • Noise and bifurcations
    • C. Meunier, and A.D. Verga Noise and bifurcations J Stat Phys 50 1/2 1988 345 375
    • (1988) J Stat Phys , vol.50 , Issue.12 , pp. 345-375
    • Meunier, C.1    Verga, A.D.2
  • 2
    • 0032026608 scopus 로고    scopus 로고
    • Spectral analysis of stochastic phase lockings and stochastic bifurcations in the sinusoidally forced van der Pol oscillator with additive noise
    • S. Doi, J. Inoue, and S. Kumagai Spectral analysis of stochastic phase lockings and stochastic bifurcations in the sinusoidally forced van der Pol oscillator with additive noise J Stat Phys 90 5-6 1998 1107 1127
    • (1998) J Stat Phys , vol.90 , Issue.5-6 , pp. 1107-1127
    • Doi, S.1    Inoue, J.2    Kumagai, S.3
  • 3
    • 2442449276 scopus 로고    scopus 로고
    • Stochastic bifurcation in Duffing system subject to harmonic excitation and in presence of random noise
    • W. Xu, Q. He, T. Fang, and H. Rong Stochastic bifurcation in Duffing system subject to harmonic excitation and in presence of random noise Int J Non-Linear Mech 39 2004 1473 1479
    • (2004) Int J Non-Linear Mech , vol.39 , pp. 1473-1479
    • Xu, W.1    He, Q.2    Fang, T.3    Rong, H.4
  • 4
    • 2942525861 scopus 로고    scopus 로고
    • Stochastic bifurcation in Duffing-van der pol oscillators
    • Q. He, W. Xu, H. Rong, and T. Fang Stochastic bifurcation in Duffing-van der pol oscillators Physica A 338 2004 319 334
    • (2004) Physica A , vol.338 , pp. 319-334
    • He, Q.1    Xu, W.2    Rong, H.3    Fang, T.4
  • 5
    • 3142730121 scopus 로고    scopus 로고
    • Global analysis of crisis in twin-well Duffing system under harmonic excitation in presence of noise
    • W. Xu, Q. He, T. Fang, and H. Rong Global analysis of crisis in twin-well Duffing system under harmonic excitation in presence of noise Chaos, Solitons & Fractals 23 2005 141 150
    • (2005) Chaos, Solitons & Fractals , vol.23 , pp. 141-150
    • Xu, W.1    He, Q.2    Fang, T.3    Rong, H.4
  • 6
    • 17044403190 scopus 로고    scopus 로고
    • Strange attractors of infinitesimal widths in the bifurcation diagram with an unusual mechanism of onset. Nonlinear dynamics in coupled fuzzy control systems. II
    • Y. Tomonaga, and K. Takatsuka Strange attractors of infinitesimal widths in the bifurcation diagram with an unusual mechanism of onset. Nonlinear dynamics in coupled fuzzy control systems. II Physica D 111 1-4 1998 51 80
    • (1998) Physica D , vol.111 , Issue.1-4 , pp. 51-80
    • Tomonaga, Y.1    Takatsuka, K.2
  • 7
    • 0035303119 scopus 로고    scopus 로고
    • Local and global bifurcations in simple Takagi-Sugeno fuzzy systems
    • F. Cuesta, E. Ponce, and J. Aracil Local and global bifurcations in simple Takagi-Sugeno fuzzy systems IEEE Trans Fuzzy Syst 9 2 2001 355 368
    • (2001) IEEE Trans Fuzzy Syst , vol.9 , Issue.2 , pp. 355-368
    • Cuesta, F.1    Ponce, E.2    Aracil, J.3
  • 8
    • 1842842095 scopus 로고    scopus 로고
    • A fuzzy approach to handle parameter uncertainties in Hopf bifurcation analysis of electric power systems
    • P.K. Satpathy, D. Das, and P.B.D. Gupta A fuzzy approach to handle parameter uncertainties in Hopf bifurcation analysis of electric power systems Int J Electr Power Energy Syst 26 7 2004 531 538
    • (2004) Int J Electr Power Energy Syst , vol.26 , Issue.7 , pp. 531-538
    • Satpathy, P.K.1    Das, D.2    Gupta, P.B.D.3
  • 9
    • 0025503417 scopus 로고
    • Global analysis of nonlinear dynamical systems with fuzzy uncertainties by the cell mapping method
    • J.Q. Sun, and C.S. Hsu Global analysis of nonlinear dynamical systems with fuzzy uncertainties by the cell mapping method Comput Meth Appl Mech Eng 83 2 1990 109 120
    • (1990) Comput Meth Appl Mech Eng , vol.83 , Issue.2 , pp. 109-120
    • Sun, J.Q.1    Hsu, C.S.2
  • 11
    • 0033351612 scopus 로고    scopus 로고
    • Fuzzy logic controller design methodology for 4D systems with optimal global performance using enhanced cell state space based best estimate directed search method
    • Tokyo, Japan
    • Song F, Smith SM, Rizk CG. Fuzzy logic controller design methodology for 4D systems with optimal global performance using enhanced cell state space based best estimate directed search method. In: Proceedings of the IEEE international conference on systems, man, and cybernetics, vol. 6, Tokyo, Japan, 1999. p. 138-43.
    • (1999) Proceedings of the IEEE International Conference on Systems, Man, and Cybernetics , vol.6 , pp. 138-143
    • Song, F.1    Smith, S.M.2    Rizk, C.G.3
  • 12
    • 0031166562 scopus 로고    scopus 로고
    • Use of fuzzy logic to calculate the statistical properties of strange attractors in chaotic systems
    • D. Edwards, and H.T. Choi Use of fuzzy logic to calculate the statistical properties of strange attractors in chaotic systems Fuzzy Sets Syst 88 2 1997 205 217
    • (1997) Fuzzy Sets Syst , vol.88 , Issue.2 , pp. 205-217
    • Edwards, D.1    Choi, H.T.2
  • 13
    • 0001523576 scopus 로고
    • The generalized cell mapping method in nonlinear random vibration based upon short-time Gaussian approximation
    • J.Q. Sun, and C.S. Hsu The generalized cell mapping method in nonlinear random vibration based upon short-time Gaussian approximation J Appl Mech 57 1990 1018 1025
    • (1990) J Appl Mech , vol.57 , pp. 1018-1025
    • Sun, J.Q.1    Hsu, C.S.2
  • 14
    • 0242303086 scopus 로고    scopus 로고
    • Stochastic optimal control of nonlinear dynamic systems via bellman's principle and cell mapping
    • L.G. Crespo, and J.Q. Sun Stochastic optimal control of nonlinear dynamic systems via bellman's principle and cell mapping Automatica 39 12 2003 2109 2114
    • (2003) Automatica , vol.39 , Issue.12 , pp. 2109-2114
    • Crespo, L.G.1    Sun, J.Q.2
  • 15
    • 0036575279 scopus 로고    scopus 로고
    • Stochastic optimal control of nonlinear systems via short-time Gaussian approximation and cell mapping
    • L.G. Crespo, and J.Q. Sun Stochastic optimal control of nonlinear systems via short-time Gaussian approximation and cell mapping Nonlinear Dyn 28 3 2002 323 341
    • (2002) Nonlinear Dyn , vol.28 , Issue.3 , pp. 323-341
    • Crespo, L.G.1    Sun, J.Q.2
  • 16
    • 0000638922 scopus 로고    scopus 로고
    • Crises and chaotic transients studied by the generalized cell mapping digraph method
    • L. Hong, and J.X. Xu Crises and chaotic transients studied by the generalized cell mapping digraph method Phys Lett A 262 1999 361 375
    • (1999) Phys Lett A , vol.262 , pp. 361-375
    • Hong, L.1    Xu, J.X.2
  • 17
    • 0035638070 scopus 로고    scopus 로고
    • Discontinuous bifurcations of chaotic attractors in forced oscillators by generalized cell mapping digraph (GCMD) method
    • L. Hong, and J.X. Xu Discontinuous bifurcations of chaotic attractors in forced oscillators by generalized cell mapping digraph (GCMD) method Int J Bifurcat Chaos 11 2001 723 736
    • (2001) Int J Bifurcat Chaos , vol.11 , pp. 723-736
    • Hong, L.1    Xu, J.X.2
  • 18
    • 0037332682 scopus 로고    scopus 로고
    • Double crises in two-parameter forced oscillators by generalized cell mapping digraph method
    • L. Hong, and J.X. Xu Double crises in two-parameter forced oscillators by generalized cell mapping digraph method Chaos, Solitons & Fractals 15 2003 871 882
    • (2003) Chaos, Solitons & Fractals , vol.15 , pp. 871-882
    • Hong, L.1    Xu, J.X.2
  • 19
    • 17044396787 scopus 로고    scopus 로고
    • Bifurcations of fuzzy nonlinear dynamical systems
    • L. Hong, and J.Q. Sun Bifurcations of fuzzy nonlinear dynamical systems Commun Nonlinear Sci Numer Simul 11 1 2006 1 12
    • (2006) Commun Nonlinear Sci Numer Simul , vol.11 , Issue.1 , pp. 1-12
    • Hong, L.1    Sun, J.Q.2
  • 20
    • 0000180575 scopus 로고    scopus 로고
    • A continuous-time dynamic fuzzy system. (I) A limit theorem
    • Y. Yoshida A continuous-time dynamic fuzzy system. (I) A limit theorem Fuzzy Sets Syst 113 2000 453 460
    • (2000) Fuzzy Sets Syst , vol.113 , pp. 453-460
    • Yoshida, Y.1
  • 21
    • 0012018147 scopus 로고    scopus 로고
    • Evolution of systems under fuzzy dynamic laws
    • Y. Friedman, and U. Sandler Evolution of systems under fuzzy dynamic laws Fuzzy Sets Syst 84 1996 61 74
    • (1996) Fuzzy Sets Syst , vol.84 , pp. 61-74
    • Friedman, Y.1    Sandler, U.2
  • 22
    • 0032646036 scopus 로고    scopus 로고
    • Fuzzy dynamics as an alternative to statistical mechanics
    • Y. Friedman, and U. Sandler Fuzzy dynamics as an alternative to statistical mechanics Fuzzy Sets Syst 106 1999 61 74
    • (1999) Fuzzy Sets Syst , vol.106 , pp. 61-74
    • Friedman, Y.1    Sandler, U.2
  • 24
    • 21844491698 scopus 로고
    • Global analysis of dynamical systems using posets and digraphs
    • C.S. Hsu Global analysis of dynamical systems using posets and digraphs Int J Bifurcat Chaos 5 4 1995 1085 1118
    • (1995) Int J Bifurcat Chaos , vol.5 , Issue.4 , pp. 1085-1118
    • Hsu, C.S.1
  • 25
    • 0000075828 scopus 로고
    • Safe, explosive, and dangerous bifurcations in dissipative dynamical systems
    • J.M.T. Thompson, H.B. Stewart, and Y. Ueda Safe, explosive, and dangerous bifurcations in dissipative dynamical systems Phys Rev E 49 2 1994 1019 1027
    • (1994) Phys Rev E , vol.49 , Issue.2 , pp. 1019-1027
    • Thompson, J.M.T.1    Stewart, H.B.2    Ueda, Y.3
  • 26
    • 0032274319 scopus 로고    scopus 로고
    • On the multiple-attractor coexisting system with parameter uncertainties using generalized cell mapping method
    • P.L. Gong, and J.X. Xu On the multiple-attractor coexisting system with parameter uncertainties using generalized cell mapping method Appl Math Mech 19 12 1998 1179 1187
    • (1998) Appl Math Mech , vol.19 , Issue.12 , pp. 1179-1187
    • Gong, P.L.1    Xu, J.X.2
  • 27
    • 0011693465 scopus 로고    scopus 로고
    • Crises and transient chaos in a forced nonlinear Mathieu oscillator
    • L. Hong, and J.X. Xu Crises and transient chaos in a forced nonlinear Mathieu oscillator Acta Mech Sin 33 3 2001 423 429
    • (2001) Acta Mech Sin , vol.33 , Issue.3 , pp. 423-429
    • Hong, L.1    Xu, J.X.2
  • 28
    • 33646989030 scopus 로고
    • Critical exponents of chaotic transients in nonlinear dynamical systems
    • C. Grebogi, E. Ott, and J.A. Yorke Critical exponents of chaotic transients in nonlinear dynamical systems Phys Rev Lett 57 1986 1284 1287
    • (1986) Phys Rev Lett , vol.57 , pp. 1284-1287
    • Grebogi, C.1    Ott, E.2    Yorke, J.A.3
  • 29
    • 0001804640 scopus 로고
    • Steady motions exhibited by Duffing's equation: A picture book of regular and chaotic motions
    • Philadelphia, Pennsylvania
    • Ueda Y. Steady motions exhibited by Duffing's equation: a picture book of regular and chaotic motions. In: Proceedings of new approaches to nonlinear problems in dynamics, Philadelphia, Pennsylvania, 1980. p. 311-22.
    • (1980) Proceedings of New Approaches to Nonlinear Problems in Dynamics , pp. 311-322
    • Ueda, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.