Gong Pulin, Xu Jianxue. On the Multiple-Attractor Coexisting System with Parameter Uncertainties Using Generalized Cell Mapping Method[J]. Applied Mathematics and Mechanics, 1998, 19(12): 1087-1094.
Citation: Gong Pulin, Xu Jianxue. On the Multiple-Attractor Coexisting System with Parameter Uncertainties Using Generalized Cell Mapping Method[J]. Applied Mathematics and Mechanics, 1998, 19(12): 1087-1094.

On the Multiple-Attractor Coexisting System with Parameter Uncertainties Using Generalized Cell Mapping Method

  • Received Date: 1997-04-25
  • Rev Recd Date: 1997-10-15
  • Publish Date: 1998-12-15
  • In this paper the generalized cell mapping(GCM) method is used to study multiple-attractor coexisting system with parameter uncertainties.The effects that the uncertain parameters has on the global properties of the system are presentes.And it is obtained that the attraetor with much smaller value of protect thickness,will disappear firsthy with the degree of the uncertainty of parameter increasing.
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  • [1]
    R.Valery Roy Noise.Perturbations of a non-linear system with multiple steady states,Internat.J.Non-Linear Mech.,29,5(1994),755-773.
    [2]
    Rsingh and C.Lee,Frequency response of linear systems with parameter uncertaintics,J.Sound Vibration,168(1993),71-92.
    [3]
    C.S.Hsu,A generalized theory of cell-to-cell mapping for nonlinear dynamical systems,J.Applied Mechanics,48(1981),634-642.
    [4]
    C.S.Hsu,Cell-to-Cell Mapping,A Method of Global Analysis for Nonlinear Systems,Springer-Verlag,New York(1987).
    [5]
    C.S.Hsu.and H.M.Chiu,Global analysis of a system with multiple responses including a strange attractors,J.Sound Vibration,b4(1987),203-218.
    [6]
    Mohamed S.Solinlan and J.M.T.Thompson,Global dynamics Underlying sharp basin crosion in nonlinear driven osccillators,Physical Review A,45,6(1992),3425-3431.
    [7]
    C.S.Hsu,Global analysis by cell mapping,International Journal of Bifurcation and Chaos,2,4(1992),727-771.
    [8]
    Wilfred D.Iwan and Ching-Tung Huang,On the dynamic response of non-linear systems with parameter uncertainties,Internat.J Non-Linear Mech.,31,5(1996),631-645.
    [9]
    J.Q.Sun and C.S.Hsu,Effects of small random uncertainties on non-linear systems studied by the generalized cell mapping method,J.Sound Vibration,147,2(1991),185-201.
    [10]
    Steven W.Medonald,Celso Grebogi,Edward Ott and James A.Yorke,Fractal basin boundary,Physica D.,17(1985),125-153.
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