On the Influence of Noise on the Largest Lyapunov Exponent of Attractors of Stochastic Dynamic Systems

Chaos, Solitons and Fractals

Volumn 9, Issue 6, 1998, Pages 959-963

  Argyris, John ^a   Andreadis, Ioannis ^a  

^a UNIVERSITY OF STUTTGART   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CORRELATION METHODS; LYAPUNOV METHODS;

ATTRACTORS; LYAPUNOV EXPONENT;

RANDOM PROCESSES;

EID: 0032090317     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(97)00146-X     Document Type: Article

References (9)

1. Argyris, J., Andreadis, I., Pavlos, G. and Athanasiou, M., On the influence of noise in the correlation dimension of chaotic attractors. To be published in Chaos, Solitons and Fractals, 1998, 9, 343-361.
2. Argyris, J., Andreadis, I., Pavlos, G. and Athanasiou, M., On the influence of noise on the largest Lyapunov exponent and on the geometric structure of attractors. Chaos, Solitons and Fractals, 1998, 9, 947-958.
3. Argyris, J. H., Faust G. and Haase, M., An Exploration of Chaos. North Holland, Elsevier, Amsterdam, 1994.
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5. Lasota, A. and Makey, M. C., Chaos, Fractals and Noise, Stochastic Aspects of Dynamical Systems. Springer Verlag, New York, 1994.
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8. Takens. F., Detecting strange attractors in turbulence. In Dynamical Systems and Turbulence, ed. D. Rand and L. S. Young. Springer Verlag, New York, 1980, pp. 366-381.
9. Wolf, A., Swift, J. B., Swinney, H. L., Vastano, J., Determining Lyapunov exponents from a time series. Physica D, 1985, 16, 285-317.