Effect of bounded noise on chaotic motion of a triple-well potential system

Chaos, Solitons and Fractals

Volumn 25, Issue 2, 2005, Pages 415-424

  Yang, Xiaoli ^a   Xu, Wei ^a   Sun, Zhongkui ^a   Fang, Tong ^a  

^a NORTHWESTERN POLYTECHNICAL UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); COMPUTER SIMULATION; DEGREES OF FREEDOM (MECHANICS); DIFFERENTIAL EQUATIONS; HARMONIC ANALYSIS; LYAPUNOV METHODS; NONLINEAR SYSTEMS; OSCILLATORS (ELECTRONIC); RANDOM PROCESSES; SPURIOUS SIGNAL NOISE;

CHAOTIC MOTION; DUFFING OSCILLATORS; NOISE EXCITATION; POINCARE MAPS;

CHAOS THEORY;

EID: 13544263602     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2004.12.005     Document Type: Article

References (14)

1. G.X. Li, and F.C. Moon Criteria for chaos of a three-well potential oscillator with homoclinic and heterclinic orbits J Sound Vib 136 1 1990 17 34
2. R. Chacon, and J.D. Bejarano Homoclinic and heteroclinic chaos in a triple-well oscillator J Sound Vib 186 2 1995 269 278
3. J. Awrejcewicz, O. Dzyubak, and L. Dzyubak Chaos in the three-well potential system Mech Res Commun 31 2004 287 294
4. H. Lin, and S.C.S. Yim Analysis of a nonlinear system exhibiting chaotic, noisy chaotic, and random behaviors J Appl Mech ASME 63 1996 509 516
5. J.G. Wei, and G. Leng Lyapunov exponent and chaos of Duffing's equation perturbed by white noise Appl Math Comput 88 1997 77 93
6. Xie WC. Effect of noise on chaotic motion of buckled column under periodic excitation. Nonlinear and Stochastic Dynamics 1994;AMD-192(DE-73):215- 225
7. W.Y. Liu, W.Q. Zhu, and Z.L. Huang Effect of bounded noise on the chaotic motion of Duffing under parametric excitation Chaos, Solitons & Fractals 12 2001 527 537
8. Y.K. Lin, and G.Q. Cai Probabilistic structural dynamics: advanced theory and applications 1995 McGraw-Hill New York
9. M. Frey, and E. Simiu Noise-induced chaos and phase space flux Physica D 63 1993 321 340
10. J. Guckenheimer, and P. Holmes Nonlinear Oscillations, Dynamical System, and Bifurcations of Vector Fields 1983 Springer-Verlag New York
11. P.J. Holmes A nonlinear oscillator with a strange attractor Philos Trans R Soc A292 1979 419 448
12. S. Wiggins Global bifurcations and chaos: Analytical Methods 1988 New York Springer-Verlag
13. S. Wiggins Introduction to applied nonlinear dynamical system and chaos 1990 New York Springer-Verlag
14. A. Wolf, J. Swift, H. Swinney, and A. Vastano Determining Lyapunov exponents from a time series Physica D 16 1985 285 317