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- M. A. Mat́ıas, J. Güémez, V. Pérez-Muñuzuri, I. P. Mariño, M. N. Lorenzo, V. Pérez-Villar
- 1996

PACS. 05.45+b – Theory and models of chaotic systems. PACS. 47.20Ky – Nonlinearity (including bifurcation theory). Abstract. – We consider the behavior of rings of unidirectionally coupled chaotic systems. When the number of oscillators in the ring is below a certain critical number the behavior of the ring is chaotic synchronized, while above this… (More)

Spatiotemporal stochastic forcing of an ensemble system consisting of chaotic Lorenz cells diffusively coupled is analyzed. The nontrivial effects of time and length correlations on the ensemble mean error and spread are studied and the implications to new trends in weather forecast methodologies are discussed. A maximum for the forecast scores is observed… (More)

A nonlinear forecasting method based on the reconstruction of a chaotic strange attractor from about 1.5 years of cloud absorption data obtained from half-hourly Meteosat infrared images was used to predict the behavior of the time series 24 h in advance. The forecast values are then used by a meteorological model for daily prediction of plume transport… (More)

The effect of time-correlated zero-mean Gaussian noise on chaotic synchronization is analyzed experimentally in small-size arrays of Chua's circuits. Depending on the correlation time, an improvement of the synchronization is found for different values of the noise amplitude and coupling diffusion between circuits. Recently there has been considerable… (More)

—Chaotic synchronization is studied in experiments performed on dynamic arrays of Chua's circuits that are connected by using a recently introduced driving method especially suited for the design of such arrays. Namely, the driven circuit has the same number of energy storage elements as the driving circuit. The experimental results, which are supported by… (More)

The interaction of two chaotic rotating waves of the type recently reported by Matías et al. [Europhys. Lett. 37 (1997) 379] is studied experimentally with arrays of non-linear electronic circuits arranged in ring geometries. Unidirectional coupling is assumed for the cell-to-cell coupling within the same ring, but between rings, cells are coupled… (More)

We describe experiments on Bénard–Marangoni convection which permit a useful understanding of the main concepts involved in this phenomenon such as, for example, Bénard cells, aspect ratio, Rayleigh and Marangoni numbers, Crispation number and critical conditions. In spite of the complexity of convection theory, we carry out a simple and introductory… (More)

- E. Sánchez, M. A. Matı́as, V. Pérez-Muñuzuri
- 1997

The behavior of uncoupled chaotic systems under the influence of external noise has been the subject of recent work. Some of these studies claim that chaotic systems driven by the same noise do synchronize, while other studies contradict this conclusion. In this work we have undertaken an experimental study of the effect of noise on identically driven… (More)

- Ng, References, Y.-K Kuo, M.-F Huang, M Birnbaum, Tunable Cr +7 others
- 1999

517 Since by Lemma 2.1 the system states n(1) and N g (1) are nonneg-ative, we can write (37) as _ W (X) 0 minfbNa + c; d; 2eg 1 Na 2(1 0) Thus, we have the linear differential inequality _ W (t) 0 BLOCKINW(t) (39) where := minfbNa + c; d; 2eg > 0: (40) By a comparison theorem given in [15, p. 2] or [16, p. 3] we conclude that W in (39) satisfies W (X) W (X… (More)