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831.
832.
We study the problem of the M-ary signal detection via a bistable detector in the presence of Lévy noise. Based on the numerical solution of the space-fractional Fokker–Planck equation, the theoretical bit error rate is defined and used in the optimal detector design. The accuracy of the theoretical results are verified by the Monte Carlo simulations. It is shown that, with the same noise intensity, the optimal bistable detector performs better with the decreasing Lévy index α. Therefore, Lévy noise plays a more positive role in the nonlinear M-ary signal detection problem, compared to Gaussian noise. 相似文献
833.
834.
Lijuan Zhang Yuming Shi Hua Shao Qiuling Huang 《Journal of Difference Equations and Applications》2016,22(11):1747-1759
This paper focuses on chaos induced by weak A-coupled-expansion of non-autonomous discrete systems in compact subsets of metric spaces and in bounded and closed subsets of complete metric spaces, separately. A new concept of weak A-coupled-expansion for non-autonomous discrete systems, whose condition is weaker than that of A-coupled-expansion, is introduced, and several new criteria of chaos induced by weak A-coupled-expansion of non-autonomous discrete systems are established. By applying some close relationships between chaotic dynamical behaviours of the original system and its induced systems, two criteria of chaos are established. One example is provided for illustration. 相似文献
835.
In this paper we study a class of boundary value problems with impulsive effects. Under some natural assumptions, by using Morse theory in combination with the minimax arguments, we establish some new results on the existence of multiple nontrivial solutions for the problems. Recent results from the literature are improved and extended. 相似文献
836.
837.
Yong-guo Shi 《应用数学学报(英文版)》2016,32(2):283-288
An important problem in a given dynamical system is to determine the existence of a homoclinic orbit. We improve the results of Qin and Xiao [Nonlinearity, 20 (2007), 2305–2317], who present some sufficient conditions for the existence of a homoclinic/heteroclinic orbit for the generalized H´enon map. Moreover, an algorithm is presented to locate these homoclinic orbits. 相似文献
838.
Superconvergence of a Nonconforming Finite Element Approximation to Viscoelasticity Type Equations on Anisotropic Meshes 总被引:3,自引:0,他引:3
Dongyang Shi Yucheng Peng Shaochun Chen 《高等学校计算数学学报(英文版)》2006,15(4):375-384
The main aim of this paper is to study the approximation to viscoelasticity type equations with a Crouzeix-Raviart type nonconforming finite element on the anisotropic meshes. The superclose property of the exact solution and the optimal error estimate of its derivative with respect to time are derived by using some novel techniques. Moreover, employing a postprocessing technique, the global superconvergence property for the discretization error of the postprocessed discrete solution to the solution itself is studied. 相似文献
839.
In this paper, we consider the nonconforming rotated Q
1 element for the second order elliptic problem on the non-tensor product anisotropic meshes, i.e. the anisotropic affine quadrilateral
meshes. Though the interpolation error is divergent on the anisotropic meshes, we overcome this difficulty by constructing
another proper operator. Then we give the optimal approximation error and the consistency error estimates under the anisotropic
affine quadrilateral meshes. The results of this paper provide some hints to derive the anisotropic error of some finite elements
whose interpolations do not satisfy the anisotropic interpolation properties. Lastly, a numerical test is carried out, which
coincides with our theoretical analysis. 相似文献
840.
Lifshits Mikhail A.; Linde Werner; Shi Zhan 《Proceedings London Mathematical Society》2006,92(1):224-250
We investigate RiemannLiouville processes RH, with H> 0, and fractional Brownian motions BH, for 0 < H <1, and study their small deviation properties in the spacesLq([0, 1], µ). Of special interest here are thin (fractal)measures µ, that is, those that are singular with respectto the Lebesgue measure. We describe the behavior of small deviationprobabilities by numerical quantities of µ, called mixedentropy numbers, characterizing size and regularity of the underlyingmeasure. For the particularly interesting case of self-similarmeasures, the asymptotic behavior of the mixed entropy is evaluatedexplicitly. We also provide two-sided estimates for this quantityin the case of random measures generated by subordinators. While the upper asymptotic bound for the small deviation probabilityis proved by purely probabilistic methods, the lower bound isverified by analytic tools concerning entropy and Kolmogorovnumbers of RiemannLiouville operators. 2000 MathematicsSubject Classification 60G15 (primary), 47B06, 47G10, 28A80(secondary). 相似文献