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Your search keyword '"WANG, Jiao"' showing total 31 results
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31 results on '"WANG, Jiao"'

8. General method of controlling chaos

Author

Yan Jie, Zhao Hong, Wang Ying-Hai, and Wang Jiao

Subjects
CHAOS (operating system), General method, Experimental system, Control theory, Control (management), A priori and a posteriori, Tracking (particle physics), Object (computer science), Mathematical system, Mathematics
Abstract

We present a mathematical framework for describing the allowable forms of perturbations of a control parameter for the purpose of controlling chaos. The present paper extends the method initially proposed by Ott, Grebogi, and Yorke [Phys. Rev. Lett. 64, 1196 (1990)] and later extended by Romeiras et al. [Physica D 58, 165 (1992)], allowing for a more general choice of feedback forms. Among the allowable feedback forms, those that do not include the coordinates of the desired control object explicitly provide a natural way to go about tracking, especially when the parameter changes are involuntary. Another benefit of the method is that the control can be implemented by the use of earlier states of the system as the feedback information. The generalized method can be conveniently used to deal with an experimental system in the absence of an a priori mathematical system model where the delay coordinates are used. These are illustrated by numerical examples in the paper.

Published
1996

31. Rectification of heat current in Corbino geometry.

Author

Zou Z, Casati G, Benenti G, and Wang J

Abstract

We prove analytically the ballistic thermal rectification effect (BTRE) in the Corbino disk characterized by an annular shape. We derive the thermal rectification efficiency (RE) and show that it can be expressed as the product of two independent functions, the first dependent on the temperatures of the heat baths and the second on the system's geometry. It follows that a perfect BTRE can be reached with the increase of the ratios of the heat baths' temperatures and of the radius of the outer edge to the inner edge of the disk. We also show that, by introducing a potential barrier into the Corbino disk, the RE can be greatly improved. Quite remarkably, by an appropriate choice of parameters, the thermal diode effect can be reversed. Our results are robust under variation of the Corbino geometry, which may provide a flexible route to manipulate the heat flow at the nanoscale.

Published
2024
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