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Wang Q.,Inner Mongolia Finance and Economics College | Perc M.,University of Maribor | Chen G.,City University of Hong Kong
Physica A: Statistical Mechanics and its Applications | Year: 2010

We study synchronization transitions and pattern formation on small-world networks consisting of Morris-Lecar excitable neurons in dependence on the information transmission delay and the rewiring probability. In addition, networks formed via gap junctional connections and coupling via chemical synapses are considered separately. For gap-junctionally coupled networks we show that short delays can induce zigzag fronts of excitations, whereas long delays can further detriment synchronization due to a dynamic clustering anti-phase synchronization transition. For the synaptically coupled networks, on the other hand, we find that the clustering anti-phase synchronization can appear as a direct consequence of the prolongation of information transmission delay, without being accompanied by zigzag excitatory fronts. Irrespective of the coupling type, however, we show that an appropriate small-world topology can always restore synchronized activity if only the information transmission delays are short or moderate at most. Long information transmission delays always evoke anti-phase synchronization and clustering, in which case the fine-tuning of the network topology fails to restore the synchronization of neuronal activity. © 2010 Elsevier B.V. All rights reserved.

Gan C.,Zhejiang University | Wang Q.,Inner Mongolia Finance and Economics College | Perc M.,University of Maribor
Journal of Physics A: Mathematical and Theoretical | Year: 2010

Strictly, the KAM torus no longer exists for a randomly driven Hamiltonian system. We firstly investigate the process of torus breakdown in the randomly driven Morse oscillator by transforming the original system into another one in action-angle variables and introducing the specific Poincaré map by Makarov et al. Though the strength of random perturbations is large, some thick closed-like curves can still appear. To characterize these noisy dynamics, the pseudo-periodic surrogate approach, along with the algorithm on the mean divergence, is applied to evaluate the correlation dimensions of the original data and their corresponding surrogates. Two kinds of noisy dynamics are picked out from the randomly driven Morse oscillator. © 2010 IOP Publishing Ltd.

Su J.,Inner Mongolia University | Jian Y.,Inner Mongolia University | Chang L.,Inner Mongolia University | Chang L.,Inner Mongolia Finance and Economics College
International Journal of Heat and Mass Transfer | Year: 2012

This study investigates the velocity and temperature distributions of the thermally fully developed electroosmotic flow through a rectangular microchannel. Based on linearized Poisson-Boltzmann (PB) equation, Navier-Stokes equation and thermally fully developed energy equation, analytical solutions of normalized velocity, temperature and Nusselt number are derived. They greatly depend on the ratio K of characteristic scale of the rectangular microchannel to Debye length, width to height ratio α and Joule heating to heat flux ratio S. By numerical computation, we found that for prescribed electrokinetic width K, increased S yields greater temperature. For small K, the variations of the temperature θ are larger than those of large K. The dependence of temperature on S is more significant for a small K, while at a larger K the temperature profiles are almost identical. In addition, we illustrate the Nusselt number Nu variations with S, α and K. © 2012 Elsevier Ltd. All rights reserved.

Wang Q.Y.,Inner Mongolia Finance and Economics College | Wang Q.Y.,Beihang University | Lu Q.S.,Beihang University | Duan Z.S.,Peking University
International Journal of Non-Linear Mechanics | Year: 2010

Lag synchronization in unidirectionally coupled chaotic systems is investigated in this paper. Based on the invariance principle of differential equations, a new adaptive delay feedback scheme is proposed to realize the lag synchronization effectively in the coupled chaotic systems. As an example, numerical simulations for the coupled Hindmarsh-Rose (HR) neuron models are conducted, which is in good agreement with the theoretical analysis. More interestingly, it is found that there is a fine U-shaped structure in the lag synchronization curve for the HR neuron model. Furthermore, lag synchronization and the corresponding U-shaped structure are robust against the small mismatch of parameters and noisy disturbances. © 2009 Elsevier Ltd. All rights reserved.

Shao Y.-L.,Inner Mongolia Finance and Economics College
Applied Mechanics and Materials | Year: 2012

The exhaust noise, which falls into low-frequency noise, is the dominant noise source of a diesel engines and tractors. The traditional exhaust silencers, which are normally constructed by combination of expansion chamber, and perforated pipe or perforated board, are with high exhaust resistance, but poor noise reduction especially for the low-frequency band noise. For this reason, a new theory of exhaust muffler of diesel engine based on counter-phase counteracts has been proposed. The mathematical model and the corresponding experimental validation for the new exhaust muffler based on this theory were performed. © (2012) Trans Tech Publications, Switzerland.

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