Effect of system noise on chaotic behavior in Roessler type nonlinear system

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 7, Issue 12, 1997, Pages 2871-2879

  Ogata, S ^a   Iwayama, T ^a   Terachi, S ^b  

^a KYUSHU INSTITUTE OF TECHNOLOGY   (Japan)

^b HOKKAIDO INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031498485     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127497001953     Document Type: Article

References (13)

1. Abarbanel, H. D. L., Brown, R., Sidorowich, J. J. & Tsimning, L. S. [1993] "The analysis of observed chaotic data in physical system," Rev. Mod. Phys. 65(4), 1131-1392.
2. Crutchfield, J., Farmer, D., Packard, N, Show, R., Jones, G. & Donnelly, R. J. [1980] "Power spectral analysis of a dynamic system," Phys. Lett. A76(1), 1-4.
3. Derstine, M. W., Gibbs, H. M., Hopt, F. A. & Sanders, L. D. [1985] "Distinguishing chaos from noise in an optically bistable system," IEEE J. Quantum Electron QE-21(9), 1419-1422.
4. Elsner, J. B. [1992] "Predicting time series using a neural network as a method of distinguishing chaos from noise," J. Phys. A Math. Gen. 25(4), 843-850.
5. Farmer, D., Clutchfield, J., Froehling, H., Packard, N. & Show, R. [1980] "Power spectra and mixing properties of strong attractors," Ann. NY Acad. Sci. 357, 453-472.
6. Hirai, K. & Ushio, T. [1993] "Chaos and control," J. SICE 32(11), 943-951 (in Japanese).
7. Iwayama, T. [1996] "Analysis of Roessler type chaos signal," 15th SICE Kyushu Branch Ann. Conf. (in Japanese).
8. Kawata, T. [1994] "The effects of noise in chaotic signal processing and its application to pattern observation experiments," Master thesis, Faculty of Information Science and Systems Engineering, Kyushu Institute of Technology, Chap. 4, pp. 26-32.
9. Kawata, T., Horita, T. & Ogata, S. [1994] "Effect of noise on chaotic behavior in Roessler type nonlinear system," Proc. 3rd Int. Conf. on Fuzzy Logic, NN and Soft Computing Iizuka, 509-511.
10. Kawata, T., Terachi, S., Horita, T. & Ogata, S. [1995] "Control of chaos by system noise and observation noise," SICE'95 Sapporo, 1527-1530.
11. Kostelich, E. J. & Schreiber, T. [1993] "Noise reduction in chaotic time-series data: A survey of common methods," Phys. Rev. E, Plasma Fluids Relat. Interdiscip. Top. 48(3), 1752-1763.
12. Lorenz, J. [1963] "Deterministic nonperiodic flow," J. Atmos. Sci. 20(3), 130-141.
13. Roessler, O. [1976] "An equation for continuous chaos," Phys. Lett. A57(5), 397-398.