Abstract:
A low probability for transient chaos control near crisis is conjectured, based on the criterion that p-parameter variations should be less than the difference p - pC, where pC is the value corresponding to crisis. Otherwise, the OGY criterion for small variations is meaningless. Numerical experiments are shown which use a simplified OGY method to stabilize the transient chaos in the logistic map at a fixed point.
Registro:
Documento: |
Artículo
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Título: | Low probability of controlling transient chaos near crisis |
Autor: | Casaubon, J.I. |
Filiación: | Fac. de Ciencias Exactas y Naturales, Universidad de Belgrano, CONICET, Villanueva 1324, 1426 Buenos Aires, Argentina
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Palabras clave: | Approximation theory; Computation theory; Error analysis; Iterative methods; Parameter estimation; Probability; System stability; Control probability; Transient chaos control; Chaos theory |
Año: | 2002
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Volumen: | 9
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Título revista: | Complexity International
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Título revista abreviado: | Complex. Int.
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ISSN: | 13200682
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13200682_v9_n_p_Casaubon |
Referencias:
- Ott, E., Grebogi, C., Yorke, J.A., (1990) Phys. Rev. Lett., 64, p. 1196
- Chen, G., Dong, X., (1998) From Chaos to Order, , World Scientific, Singapore
- Tél, T., (1991) J. Phys. A, 24, pp. L1359
- Place, C.M., Arrowsmith, D.K., (2000) Phys. Rev. E, 61, p. 1357
- Place, C.M., Arrowsmith, D.K., (2000) Phys. Rev. E, 61, p. 1369
- Grebogi, C., Ott, E., Yorke, J.A., (1986) Phys. Rev. Lett., 57, p. 1284
- Flynn, C., Wilson, N., (1998) Am. J. Phys., 66, p. 730
Citas:
---------- APA ----------
(2002)
. Low probability of controlling transient chaos near crisis. Complexity International, 9.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13200682_v9_n_p_Casaubon [ ]
---------- CHICAGO ----------
Casaubon, J.I.
"Low probability of controlling transient chaos near crisis"
. Complexity International 9
(2002).
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13200682_v9_n_p_Casaubon [ ]
---------- MLA ----------
Casaubon, J.I.
"Low probability of controlling transient chaos near crisis"
. Complexity International, vol. 9, 2002.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13200682_v9_n_p_Casaubon [ ]
---------- VANCOUVER ----------
Casaubon, J.I. Low probability of controlling transient chaos near crisis. Complex. Int. 2002;9.
Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13200682_v9_n_p_Casaubon [ ]