Title:
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On-line identification and control of chaos in a real Chua's circuit (English) |
Author:
|
Dąbrowski, Andrzej |
Author:
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Galias, Zbigniew |
Author:
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Ogorzałek, Maciej J. |
Language:
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English |
Journal:
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Kybernetika |
ISSN:
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0023-5954 |
Volume:
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30 |
Issue:
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4 |
Year:
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1994 |
Pages:
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425-432 |
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Category:
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math |
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MSC:
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58F13 |
MSC:
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58F40 |
MSC:
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93B30 |
MSC:
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93C10 |
idMR:
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MR1303293 |
. |
Date available:
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2009-09-24T18:49:04Z |
Last updated:
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2012-06-06 |
Stable URL:
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http://hdl.handle.net/10338.dmlcz/124163 |
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Reference:
|
[1] R. Artuso E. Aurell, P. Cvitanović: Recycling strange sets: I. Cycle expansions.Preprints of The Niels Bohr Institute, NBI-89-41, 1989. MR 1054579 |
Reference:
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[2] R. Artuso E. Aurell, P. Cvitanović: Recycling strange sets: II. Applications.Preprints of The Niels Bohr Institute, NBI-89-42, 1989. MR 1054580 |
Reference:
|
[3] D. Auerbach P. Cvitanović J. P. Eckmann G. Gunaratne, I. Procaccia: Exploring chaotic motion through periodic orbits.Phys. Rev. Lett. 58 (1987), 23, 2387-2389. MR 0890474 |
Reference:
|
[4] L. O. Chua M. Komuro, T. Matsumoto: The double scroll family, parts I and II.IEEE Trans. Circuits and Systems CAS-33 (1986), 11, 1073-1118. |
Reference:
|
[5] L. O. Chua, G. N. Lin. : Canonical realisation of Chua's circuit family.IEEE Trans. Circuits and Systems CAS-37 (1990), 7, 885-902. MR 1061874 |
Reference:
|
[6] P. Cvitanović: Invariant measurement of strange sets in terms of cycles.Phys. Rev. Lett. 61 (1988), 24, 2729-2732. MR 0969993 |
Reference:
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[7] C. Grebogi E. Ott, J. A. Yorke: Unstable periodic orbits and the dimensions of multifractal chaotic attractors.Physical Rev. A, 37 (1988), 5, 1711-1724. MR 0931234 |
Reference:
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[8] G. B. Mindlin X.-J. Hou H. Solari R. Gilmore, N. B. Tufillaro: Classification of strange attractors by integers.Phys. Rev. Lett. 64 (1990), 20, 2350-2353. MR 1050258 |
Reference:
|
[9] M. P. Kennedy: Robust op-amp realisation of Chua's circuit.Frequenz 46 (1992), No.3-4, 66-80. |
Reference:
|
[10] E. J. Kostelich, J. A. Yorke: Noise reduction: Finding the simplest dynamical system consistent with the data.Physica D 41 (1990), 183-196. Zbl 0705.58036, MR 1049125 |
Reference:
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[11] D. P. Lathrop, E. J. Kostelich: Characterisation of an experimental strange attractor by periodic orbits.Physical Rev. A, 40 (1989), 7, 4028-4031. MR 1017839 |
Reference:
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[12] T. Matsumoto: A chaotic attractor from Chua's circuit.IEEE Trans. Circuits and Systems CAS-31 (1984), 12, 1055-1058. Zbl 0551.94020, MR 0764274 |
Reference:
|
[13] E. Ott C. Grebogi, J. A. Yorke: Controlling chaotic dynamical systems.Published in: CHAOS -- Soviet-American Perspectives on Nonlinear Science, (D. K. Campbell, ed.), American Institute of Physics, New York 1990, pp. 153-172. MR 1123520 |
Reference:
|
[14] E. Ott C. Grebogi, J. A. Yorke: Controlling chaos.Phys. Rev. Lett. 64 (1990), 11, 1196-1199. MR 1041523 |
Reference:
|
[15] F. J. Romeiras E. Ott C. Grebogi, W. P. Dayawansa: Controlling chaotic dynamical systems.Proc. 1991 IEEE American Control Conference. MR 1188248 |
Reference:
|
[16] G. Q. Zhong, F. Ayrom: Experimental confirmation of chaos from Chua's circuit.Internat. J. Circuit Theory Appl 13 (1985), 11, 93-98. |
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