全部文献期刊会议图书|学者科研项目
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作者:Shu Tang Liu , Sitao Wu
来源:[J].Chaos, Solitons and Fractals(IF 1.246), 2005, Vol.31 (5), pp.1181-1186
摘要:Abstract(#br)In this article, the nonlinear dynamic behavior based on Hückel’s molecular orbit theory such as chaos and bifurcation of molecular orbit in the 3-D space, is studied. Molecular orbit, or the kinematical behavior of a molecule, is determined by a wave function. ...
作者:Shu Tang Liu , Yong Qing Liu
来源:[J].Journal of Computational and Applied Mathematics(IF 0.989), 2001, Vol.132 (2), pp.479-482
摘要:Abstract(#br)The oscillation of the second-order nonlinear partial difference equation T(△ 1 ,△ 2 )[c mn △ 1 (y mn )]+ ∑ i=1 s a i (m,n)f i (y m+1,n ,△ 1 (y mn ))=0 is investigated. Some sufficient conditions for the oscillation of all solutions of the above equati...
作者:Shu Tang Liu
来源:[J].Computers and Mathematics with Applications(IF 2.069), 2004, Vol.47 (4), pp.621-629
摘要:Abstract(#br)This paper studies the following nonlinear two-dimensional partial difference system: Δ 1 (x mn −b mn g(y mn )=0, T(Δ 1 Δ 2 )(y mn +a mn f(x mn )=0, where m , n ϵ N i = { i , i + 1,…}, i is a nonnegative integer, T ( Δ 1 , Δ 2 ) = Δ 1 + Δ 2 + I , Δ 1 y...
作者:Shu Tang Liu
来源:[J].Chaos, Solitons and Fractals(IF 1.246), 2005, Vol.30 (2), pp.453-462
摘要:Abstract(#br)Nuclear fission is the most fundamental reaction between neutrons and atomic nuclei of nuclear fuel in a reactor. In this paper, according to the nonlinear dynamical behavior of the neutron transport system in space (or the distribution behavior of neutrons in the re...
作者:Shu Tang Liu
来源:[J].Computers and Mathematics with Applications(IF 2.069), 2002, Vol.43 (8), pp.951-964
摘要:Abstract(#br)We construct an important transform to obtain sufficient conditions for the oscillation of all solutions of delay partial difference equations with positive and negative coefficients of the form A m +1, n + A m,n +1 − A mn + p mn A m − k − 1 − q mn A m...
作者:Shu Tang Liu , Guanrong Chen
来源:[J].Chaos, Solitons and Fractals(IF 1.246), 2003, Vol.22 (1), pp.35-46
摘要:Abstract(#br)Consider the following two spatially generalized Logistic systems: x m+1,n +ωx m,n+1 =1−μ 1 [(1+ω)x mn ] 2 and y m+1,n +ωy m,n+1 =1−μ 2 [(1+ω)y mn ] 2 , where ω is a real constant, and μ 1 and μ 2 are two real parameters. An analytical method is introd...
作者:Shu Tang Liu
来源:[J].Computers and Mathematics with Applications(IF 2.069), 2002, Vol.43 (10), pp.1219-1230
摘要:Abstract(#br)We construct an important transform to obtain sufficient conditions for the oscillation of all solutions of the delay partial difference equations with positive and negative coefficients of the form ωƒ(m, n, A m −σ, n −τ , A m−u , n−v ) + A m −1, n + A...
作者:Shu Tang Liu , Guanrong Chen
来源:[J].Journal of Mathematical Analysis and Applications(IF 1.05), 2003, Vol.277 (2), pp.689-700
摘要:Abstract(#br)This paper studies the following two-dimensional nonlinear partial difference systems T(∇ 1 ,∇ 2 )(x mn )+b mn g(y mn )=0, T(Δ 1 ,Δ 2 )(y mn )+a mn f(x mn )=0, where m , n ∈ N 0 ={0,1,2,…}, T ( Δ 1 , Δ 2 )= Δ 1 + Δ 2 + I , T (∇ 1 ,∇ 2 )=∇ 1 +...
作者:Yong Ping Zhang , Shu Tang Liu , Shu Lan Shen
来源:[J].Chaos, Solitons and Fractals(IF 1.246), 2007
摘要:Abstract(#br)Julia set, a fractal set of the literature of nonlinear physics, has significance for the engineering applications. For example, the fractal structure characteristics of the generalized M–J set could visually reflect the change rule of particle’s velocity. Accor...
作者:Guanrong Chen , Shu Tang Liu
来源:[J].Chaos, Solitons and Fractals(IF 1.246), 2003, Vol.15 (2), pp.311-318
摘要:Abstract(#br)Consider the following two spatially generalized Logistic systems with two different real parameters: x m+1,n +ωx m,n+1 =1−μ 1 [(1+ω)x mn ] 2 and y m+1,n +ωy m,n+1 =1−μ 2 [(1+ω)y mn ] 2 , where ω is a constant. We introduce an analytical method for gen...

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