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Simple environment for developing methods of controlling chaos in spatially distributed systems Cover

Simple environment for developing methods of controlling chaos in spatially distributed systems

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Open Access
|Mar 2011

References

  1. Alsing, P. M., Gavrielides, A. and Kovanis, V. (1994). Using neural networks for controling chaos,(2): 1225-1231.
  2. Andrievskii, B. R. and Fradkov, A. L. (2003). Control of chaos: Methods and applications,(5): 673-713.
  3. Andrzejak, R. G., Lehnertz, K., Mormann, F., Rieke, C., David, P. and Elger, C. E. (2001). Indications of nonlinear deterministic and finite-dimensional structures in time series of brain electrical activity: Dependence on recording region and brain state,(1): 1-8.
  4. Argoul, F., Arneodo, A., Richetti, P. and Roux, J. C. (1987). From quasiperiodicity to chaos in the Belousov-Zhabotinskii reaction, I: Experiment,(6): 3325-3339.
  5. Astakhov, V. V., Anishchenko, V. S. and Shabunin, A. V. (1995). Controlling spatiotemporal chaos in a chain of the coupled logostic maps,(6): 352-357.
  6. Auerbach, D. (1994). Controlling extended systems of chaotic elements,(8): 1184-1187.
  7. Banerjee, S., Misra, A. P., Shukla, P. K. and Rondoni, L. (2010). Spatiotemporal chaos and the dynamics of coupled langmuir and ion-acoustic waves in plasmas,(1): 1-10.
  8. Beck, O., Amann, A., Scholl, E., Socolar, J. E. S. and Just, W. (2002). Comparison of time-delay feedback schemes for spatiotemporal control of chaos in a reaction-diffusion system with global coupling,(1): 1-6.
  9. Boukabou, A. and Mansouri, N. (2005). Predictive control of higher dimensional chaos,(3): 258-265.
  10. Chen, G. and Dong, X. (1993). On feedback control of chaotic continuous-time systems,(9): 591-601.
  11. Chopard, B., Dupuis, A., Masselot, A. and Luthi, P. (2002). Cellular automata and lattice Boltzmann techniques: An approach to model and simulate complex systems,(2): 103-246.
  12. Chui, S. T. and Ma, K. B. (1982). Nature of some chaotic states for Duffing's equation,(4): 2262-2265.
  13. Córdoba, A., Lemos, M. C. and Jiménez-Morales, F. (2006). Periodical forcing for the control of chaos in a chemical reaction,(1): 1-6.
  14. Crutchfield, J. P. and Kaneko, K. (1987).Phenomenology of Spatio-Temporal Chaos, World Scientific Publishing Co., Singapore.
  15. Dressler, U. and Nitsche, G. (1992). Controlling chaos using time delay coordinates,(1): 1-4.
  16. Gautama, T., Mandic, D. P. and Hulle, M. M. V. (2003). Indications of nonlinear structures in brain electrical activity,(1): 1-5.
  17. Govindan, R. B., Narayanan, K. and Gopinathan, M. S. (1998). On the evidence of deterministic chaos in ECG: Surrogate and predictability analysis,(2): 495-502.
  18. Greilich, A. and Markus, M. (2003). Correlation of entropy with optimal pinning density for the control of spatiotemporal chaos,(1): 541-546.
  19. Gunaratne, G. H., Lisnay, P. S. and Vinson, M. J. (1989). Chaos beyond onset: A comparison of theory and experiment,(1): 1-4.
  20. Held, G. A., Jeffries, C. and Haller, E. E. (1984). Observation of chaotic behavior in an electron-hole plasma in GE,(12): 1037-1040.
  21. Jacewicz, P. (2002)., Ph.D. thesis, University of Zielona Góra, Zielona Góra.
  22. Kaneko, K. (1990)., World Scientific Publishing Co., Singapore.
  23. Korus, L. (2007). Alternative methods of wave motion modelling,B. Apolloni, R. J. Howlett and L. Jain (Eds.), Lecture Notes in Artificial Intelligence, Vol. 4692, Springer-Verlag, Berlin/Heidelberg, pp. 335-345.
  24. Kwon, Y. S., Ham, S. W. and Lee, K. K. (1997). Analysis of minimal pinning density for controlling spatiotemporal chaos of a coupled map lattice,(2): 2009-2012.
  25. Langenberg, J., Pfister, G. and Abshagen, J. (2004). Chaos from Hopf bifurcation in a fluid flow experiment,(4): 046209.
  26. Mihaliuk, E., Sakurai, T., Chirila, F. and Showalter, K. (2002). Feedback stabilization of unstable propagating waves,(6): 065602.
  27. Ott, E. (2002)., Cambridge University Press, Cambridge.
  28. Ott, E., Grebogi, C. and Yorke, J. A. (1990). Controlling chaos,(11): 1196-1199.
  29. Parekh, N., Parthasarathy, S. and Sinha, S. (1998). Global and local control of spatiotemporal chaos in coupled map lattice,(7): 1401-1404.
  30. Parmananda, P. (1997). Controlling turbulence in coupled map lattice systems using feedback techniques,(1): 239-244.
  31. Procaccia, I. and Meron, E. (1986). Low-dimensional chaos in surface waves: Theoretical analysis of an experiment,(4): 3221-3237.
  32. Pyragas, K. (2001). Control of chaos via an unstable delayed feedback controller,(11): 2265-2268.
  33. Singer, J., Wang, Y. and Haim, H. B. (1991). Controlling a chaotic system,(9): 1123-1125.
  34. Used, J. and Martin, J. C. (2010). Multiple topological structures of chaotic attractors ruling the emission of a driven laser,(1): 016218.
  35. Wei, W., Zonghua, L. and Bambi, H. (2000). Phase order in chaotic maps and in coupled map lattices,(12): 2610-2613.
  36. Weimar, J. R. (1997)., Logos Verlang Berlin, Berlin.
  37. Yamada, T. and Graham, R. (1980). Chaos in a laser system under a modulated external field,(16): 1322-1324.
  38. Yim, G., Ryu, J., Park, Y., Rim, S., Lee, S., Kye, W. and Kim, C. (2004). Chaotic behaviors of operational amplifiers,(4): 045201.
  39. Zhu, K. and Chen, T. (2001). Controlling spatiotemporal chaos in coupled map lattice,(3): 067201.
DOI: https://doi.org/10.2478/v10006-011-0011-4 | Journal eISSN: 2083-8492 | Journal ISSN: 1641-876X
Language: English
Page range: 149 - 159
Published on: Mar 28, 2011
Published by: University of Zielona Góra
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2011 Łukasz Korus, published by University of Zielona Góra
This work is licensed under the Creative Commons License.