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A linear time-delayed feedback is introduced into the bistable system driven by cross-correlated noises to control the stochastic resonance (SR) induced by the multiplicative periodic signal. The expression for the signal-to-noise ratio (SNR) of the system is derived in the small delay approximation and the adiabatic limit. By numerical computations, the effects of the delay time and strength of its feedback on the SNR are analyzed. The results indicate that the SR phenomenon can be enhanced or suppressed by adjusting the delay time and feedback strength. The influence of the time-delayed feedback on the SR depends not only on the sign of feedback strength, but also on the initial condition of the system. Moreover, both the delay time and the feedback strength can induce the critical behavior on the SR under given conditions. © 2010 The Royal Swedish Academy of Sciences. Source

Li Z.,Yuxi Normal University
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

In this paper, without assuming the boundedness of activation functions, by applying continuous theorem of coincidence degree theory and the theory of calculus on time scales, we obtain some criteria for the existence exponential stability of periodic solutions to impulses Cohen-Grossberg neural networks with delay on time scales. Finally, an example is given to illustrate our results. © Springer International Publishing Switzerland 2016. Source

Song M.,Yuxi Normal University | Ge Y.,Nanyang Normal University
Computers and Mathematics with Applications

In this paper, the (G′/G)-expansion method is employed to solve the (3 + 1)-dimensional Kadomtsev-Petviashvili (KP) equation, the (3 + 1)-dimensional potential-YTSF equation and the (3 + 1)-dimensional Jimbo-Miwa (JM) equation. Exact traveling wave solutions are obtained. The traveling wave solutions are expressed in terms of hyperbolic functions, the trigonometric functions and the rational functions. © 2010 Elsevier Ltd. All rights reserved. Source

Liu Y.,Yuxi Normal University
Theoretical Computer Science

The proposition "For composable thin codes Y and Z, the composition Y {ring operator} Z is maximal if and only if Y and Z are maximal" put forward by J. Berstel and D. Perrin in their book "Theory of Codes" is well known. Is the proposition also true without the assumption that Y and Z are thin? We give an example showing that the answer is negative. Furthermore, several generalizations of the above proposition are also given. © 2009 Elsevier B.V. All rights reserved. Source

This paper investigates the stochastic resonance (SR) phenomenon induced by the multiplicative periodic signal in a cancer growth system with the cross-correlated noises and time delay. To describe the periodic change of the birth rate due to the periodic treatment, a multiplicative periodic signal is added to the system. Under the condition of small delay time, the analytical expression of the signal-to-noise ratio RSNR is derived in the adiabatic limit. By numerical calculation, the effects of the cross-correlation strength λ and the delay time τ on RSNR are respectively discussed. The existence of a peak in the curves of RSNR as a function of the noise intensities indicates the occurrence of the SR phenomenon. It is found that λ and τ play opposite role on the SR phenomenon, i.e., the SR is suppressed by increasing λ whereas it is enhanced with the increase of τ, which is different from the case where the periodic signal is additive. © 2010 Chinese Physical Society and IOP Publishing Ltd. Source

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