Noise-induced chaos and basin erosion in softening Duffing oscillator
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[1] Yu-Kweng Michael Lin,et al. Probabilistic Structural Dynamics: Advanced Theory and Applications , 1967 .
[2] M. Shinozuka,et al. Digital simulation of random processes and its applications , 1972 .
[3] J. Yorke,et al. Fractal basin boundaries , 1985 .
[4] Li,et al. Fractal basin boundaries and homoclinic orbits for periodic motion in a two-well potential. , 1985, Physical review letters.
[5] Sawada,et al. Measurement of the Lyapunov spectrum from a chaotic time series. , 1985, Physical review letters.
[6] A. Wolf,et al. Determining Lyapunov exponents from a time series , 1985 .
[7] Eckmann,et al. Liapunov exponents from time series. , 1986, Physical review. A, General physics.
[8] Stephen Wiggins. Global Bifurcations and Chaos: Analytical Methods , 1988 .
[9] Mikhail F. Dimentberg,et al. Statistical dynamics of nonlinear and time-varying systems , 1988 .
[10] J. M. T. Thompson,et al. Integrity measures quantifying the erosion of smooth and fractal basins of attraction , 1989 .
[11] Walter V. Wedig. Analysis and Simulation of Nonlinear Stochastic Systems , 1990 .
[12] Schieve,et al. Homoclinic chaos in systems perturbed by weak Langevin noise. , 1990, Physical review. A, Atomic, molecular, and optical physics.
[13] J. M. T. Thompson,et al. Nonlinear dynamics of engineering systems , 1990 .
[14] Equivalence Between Motions with Noise-Induced Jumps and Chaos with Smale Horseshoes , 1992 .
[15] Emil Simiu,et al. Noise-induced chaos and phase space flux , 1993 .
[16] M. Rosenstein,et al. A practical method for calculating largest Lyapunov exponents from small data sets , 1993 .
[17] M. Soliman,et al. Fractal erosion of basins of attraction in coupled non-linear systems , 1995 .
[18] Emil Simiu,et al. Melnikov Processes and Noise-Induced Exits from a Well , 1996 .
[19] S. Yim,et al. Analysis of a Nonlinear System Exhibiting Chaotic, Noisy Chaotic, and Random Behaviors , 1996 .
[20] Joško Parunov,et al. Safety analysis of ship rolling in rough sea , 1997 .
[21] H. Kantz,et al. Nonlinear time series analysis , 1997 .
[22] Celso Grebogi,et al. Erosion of the safe basin for the transversal oscillations of a suspension bridge , 2003 .