메뉴 건너뛰기




Volumn 39, Issue 9, 2004, Pages 1473-1479

Stochastic bifurcation in duffing system subject to harmonic excitation and in presence of random noise

Author keywords

Digraph; Duffing system; Global analysis; Stochastic attractor; Stochastic bifurcation; Stochastic saddle; The generalized cell mapping method

Indexed keywords

BIFURCATION (MATHEMATICS); COMPUTER SIMULATION; ENERGY DISSIPATION; HARMONIC ANALYSIS; LYAPUNOV METHODS; PARAMETER ESTIMATION; RANDOM PROCESSES; TOPOLOGY;

EID: 2442449276     PISSN: 00207462     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijnonlinmec.2004.02.009     Document Type: Conference Paper
Times cited : (60)

References (14)
  • 2
    • 0003194069 scopus 로고
    • Asymptotic behavior of stochastic flows of diffeomorphisms
    • K. Ito, & T. Hida. Berlin, Stochastic Processes and Their Applications. Heidelberg, New York: Springer
    • Baxendale P. Asymptotic behavior of stochastic flows of diffeomorphisms. Ito K., Hida T. Stochastic Processes and Their Applications. Lecture Notes in Mathematics. Vol. 1203:1986;1-19 Springer, Berlin, Heidelberg, New York.
    • (1986) Lecture Notes in Mathematics , vol.1203 , pp. 1-19
    • Baxendale, P.1
  • 4
    • 54649084055 scopus 로고    scopus 로고
    • Additive noise destroys a pitchfork bifurcation
    • Crauel H., Flandoli F. Additive noise destroys a pitchfork bifurcation. J. Dyn. Differential Equations. 10:1998;259-274.
    • (1998) J. Dyn. Differential Equations , vol.10 , pp. 259-274
    • Crauel, H.1    Flandoli, F.2
  • 5
    • 0019228407 scopus 로고
    • A theory of cell to cell mapping dynamical systems
    • Hsu C.S. A theory of cell to cell mapping dynamical systems. ASME J. Appl. Mech. 47:1980;931-939.
    • (1980) ASME J. Appl. Mech. , vol.47 , pp. 931-939
    • Hsu, C.S.1
  • 6
    • 0024057304 scopus 로고
    • A higher order method of interpolated cell mapping
    • Tongue B.H., Gu K.Q. A higher order method of interpolated cell mapping. J. Sound Vib. 125:1988;169-179.
    • (1988) J. Sound Vib. , vol.125 , pp. 169-179
    • Tongue, B.H.1    Gu, K.Q.2
  • 7
    • 85069340868 scopus 로고
    • A generalized theory of cell to cell mapping for nonlinear dynamical systems
    • Hsu C.S. A generalized theory of cell to cell mapping for nonlinear dynamical systems. ASME J. Appl. Mech. 53:1981;695-701.
    • (1981) ASME J. Appl. Mech. , vol.53 , pp. 695-701
    • Hsu, C.S.1
  • 8
    • 0001523576 scopus 로고
    • The generalized cell mapping method in nonlinear random vibration based upon short-time Gaussian approximation
    • Sun J.Q., Hsu C.S. 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
  • 9
    • 0001541332 scopus 로고
    • Random vibration analysis of a non-linear system with dry friction damping by the short-time Gaussian cell mapping method
    • Sun J.Q. Random vibration analysis of a non-linear system with dry friction damping by the short-time Gaussian cell mapping method. J. Sound Vib. 180:1995;785-795.
    • (1995) J. Sound Vib. , vol.180 , pp. 785-795
    • Sun, J.Q.1
  • 10
    • 0031280526 scopus 로고    scopus 로고
    • Using generalized cell mapping to approximate invariant measures on compact manifolds
    • Guder R., Kreuzer E. Using generalized cell mapping to approximate invariant measures on compact manifolds. Int. J. Bifurcation Chaos. 7:1999;2487-2499.
    • (1999) Int. J. Bifurcation Chaos , vol.7 , pp. 2487-2499
    • Guder, R.1    Kreuzer, E.2
  • 11
    • 21844491698 scopus 로고
    • Global analysis of dynamical systems using posets and digraphs
    • Hsu C.S. Global analysis of dynamical systems using posets and digraphs. Int. J. Bifurcation Chaos. 5:1995;1085-1118.
    • (1995) Int. J. Bifurcation Chaos , vol.5 , pp. 1085-1118
    • Hsu, C.S.1
  • 12
    • 0000638922 scopus 로고    scopus 로고
    • Crises and chaotic transient by the generalized cell mapping digraph method
    • Hong, Ling, Xu, Jianxue, Crises and chaotic transient by the generalized cell mapping digraph method, Phys. Lett. A 262 (1999) 361-375.
    • (1999) Phys. Lett. A , vol.262 , pp. 361-375
    • Hong1    Ling2    Xu3    Jianxue4
  • 13
    • 0035638070 scopus 로고    scopus 로고
    • Discontinuous bifurcations of chaotic attractors in forced oscillators by generalized cell mapping digraph (GCMD) method
    • Hong, Ling, Xu, Jianxue, Discontinuous bifurcations of chaotic attractors in forced oscillators by generalized cell mapping digraph (GCMD) method, Int. J. Bifurcation Chaos 11 (2001) 723-736.
    • (2001) Int. J. Bifurcation Chaos , vol.11 , pp. 723-736
    • Hong1    Ling2    Xu3    Jianxue4
  • 14
    • 0027912123 scopus 로고
    • Stochastic jump and bifurcation of a Duffing oscillator under narrow-band excitation
    • Zhu W.Q., Lu M.Q., Wu Q.T. Stochastic jump and bifurcation of a Duffing oscillator under narrow-band excitation. J. Sound Vib. 165:1993;285-304.
    • (1993) J. Sound Vib. , vol.165 , pp. 285-304
    • Zhu, W.Q.1    Lu, M.Q.2    Wu, Q.T.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.