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2020, Vol. 40 No. 4   Published date: 30 December 2020
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• Global Dynamics of Two Classes of Liénard Systems with Z₂ Equivariant Perturbed

  2020, 40(4): 1-14. doi:

  Abstract ( 1431 )   PDF (1085KB) ( 429 )   　　

• Finite Groups  Whose Non-normal Subgroups Are Isomorphic

  2020, 40(4): 15-21. doi:

  Abstract ( 1537 )   PDF (546KB) ( 448 )   　　

• The Isomorphic Classes of Small Degree Cayley Graphs over Dicyclic Groups

  2020, 40(4): 22-43. doi:

  Abstract ( 1443 )   PDF (712KB) ( 381 )   　　

• Two Generalized Successive Overrelaxation Methods for Solving Absolute Value Equations

  2020, 40(4): 44-55. doi:

  Abstract ( 1510 )   PDF (779KB) ( 397 )   　　

• An Isolated Toughness Condition for All Fractional (g, f, n, m)-critical Deleted Graphs

  2020, 40(4): 56-69. doi:

  Abstract ( 1410 )   PDF (611KB) ( 283 )   　　

• The twin domination number of Cartesian product of directed cycle and path

  2020, 40(4): 70-78. doi:

  Abstract ( 1394 )   PDF (687KB) ( 280 )   　　

• Special Mawhin Continuous Theorems with Applications

  2020, 40(4): 79-94. doi:

  Abstract ( 1689 )   PDF (210KB) ( 474 )   　　

  A corollary and a special continuation theorem are given in this paper.By comparing with the classical Mawhin Continuation Theorem, we can avoid calculating any topological degree and reduce the conditions of the theorem when using this spacial continuation theorem in applications. In particular, the conditions for verifying this special continuation theorem will be easier and more convenient. Notice that, avoiding the calculation of any topological degree means to minimize the processing of real world applications when a continuation theorem of topological degree theory is used. By using this special continuation theorem, a boundary value problem for a generalized second order differential equation is then studied and some theorems for the existence of solutions of the differential equation are obtained. As applications, the existence of periodic solutions and positive periodic solutions for a kind of Rayleigh equations with deviating arguments is investigated, and some new sufficient conditions which generalize and improve the known results in the literature are obtained.

• Motion-guided Kernelized Correlation Filter for Object Tracking

  2020, 40(4): 95-104. doi:

  Abstract ( 1562 )   PDF (812KB) ( 506 )   　　

  Kernelized correlation filter is one of the important algorithms in the field of visual object tracking. The object search region of this algorithm is limited. The rapid movement and abrupt direction change of the object may lead to tracking failure. To overcome this problem, “we introduce attention mechanism to improve the object tracking algorithm on the design of kernelized correlation filter. Firstly, the motion area is extracted through the bio-inspired retina model. Subsequently, the object candidate box is determined based on the average optical flow of the previous frame bouning-box. Finally, the object’s bounding-box is determined by kernelized correlation filter algorithm on the candidate box. Experimental results on the Anti-UAV2020 dataset show that when the PyrLK algorithm is used to calculate the optical flow, the tracking accuracy and success rate are improved by 1.4% and 1.3%, respectively, compared with the baseline method of kernelized correlation filter.When the Flownet algorithm is used to calculate optical flow, the tracking accuracy and success rate are improved by 2.2% and 1.3%, respectively, compared with the baseline method of kernelized correlation filter.

• Application of Extreme Learning Machine Based on Variational Modal Decomposition in Financial Time Series Forecasting

  2020, 40(4): 105-117. doi:

  Abstract ( 1612 )   PDF (1213KB) ( 709 )   　　

  Financial time series has always been a problem in time series forecasting due to its non-linear, non-stationary, and low signal-to-noise ratio. This paper proposes a VMD-ELM model based on variational modal decomposition, and uses the unique advantages of variational modal decomposition in digital signal decomposition to decompose financial time series data into several sub-modes, and then use the decomposed sub-modes as The input data of the extreme learning machine is trained. By comparing the EMD-ELM model, the autoregressive moving average (ARMA) process on the feedforward neural network (FFNN) and the West Texas Intermediate (WTI), the Canadian/US exchange rate (CANUS), and the US industrial production (IP) And the effect on the time series data of the Nasdaq 100 Volatility Index (VIX) of the Chicago Board Options Exchange. Based on average absolute error (MAE), average absolute percentage error (MAPE) and square root mean square (RMSE), the predicted analysis results prove that the method proposed in this paper has excellent performance on multiple data sets.

• Study on System Benefit Optimization of Airport Pick-up Area Based on Queuing Theory

  2020, 40(4): 118-127. doi:

  Abstract ( 1568 )   PDF (555KB) ( 1094 )   　　

   This paper aims to achieve the highest efficiency of boarding in the airport taxi boarding area, and takes into full consideration the time cost of passengers and taxi drivers as well as the construction cost of boarding points, and applies the idea of Queuing Theory to study the optimal number of boarding points in the airport taxi boarding area. Taking Beijing capital airport as an example, this paper establishes a double-end queuing model for taxi and passenger, and respectively solves the number of boarding points that make the queue length reach the shortest, so as to achieve the highest efficiency. In addition, this paper also took the minimum total cost as the optimization objective to verify and optimize the queuing model, and found that the set number of boarding points could not only achieve the highest efficiency, but also achieve the lowest total cost. Finally, by setting the satisfaction weights of taxi drivers and passengers and assigning them to two queuing models, the optimal number of boarding points was obtained to be 7.