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. |
[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.
|