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1996年, 第16卷, 第4期　刊出日期：1996-12-25 上一期    下一期

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HOMOCLINIC ORBITS IN PERTURBED GENERALIZED HAMILTONIAN SYSTEMS 赵晓华, 李继彬, 黄克累 数学物理学报(英文版). 1996 (4):  361-374.  摘要 ( 42 )   RICH HTML PDF(853KB) ( 35 )   收藏 It this paper we obtain existence and bifurcation theorems for homoclinic orbits in three-dimensional,time dependent and independent,perturbations of generalized Hamiltonian differential equations defined on three-dimensional Poisson manifolds.Thed we apply them to a truncated spectral model of the quasi-geostrophic flow on a cyclic β-plane. 相关文章 | 计量指标

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ROBUST ADAPTIVE STABILIZATION OF TIME-VARYING DISCRETE TIME SYSTEMS 李勇, 陈翰馥 数学物理学报(英文版). 1996 (4):  375-387.  摘要 ( 46 )   RICH HTML PDF(655KB) ( 30 )   收藏 In this paper,a robust adaptive regulator is constructed for time-varying discrete time systems with bounded disturbances and unmodelled dynamics.It is assumed that the parameters of the nominal model belong to a bounded convex set and that the ‘frozen time’ nominal model is stabilizable for all possible parameter values.Requiring neither external excitation nor stable invertibility of the nominal model,an adaptive regulator is consturcted from the solution to a finite time Riccati equation. No upper bound of the disturbances is assumed to be available.It is shown that tile input and output sequences of the closed-loop system are bounded if both the time average of the parameter variations and the model error are sufficiently small. 相关文章 | 计量指标

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SPECTRUM OF THE LAPLACIAN OF COMPACT MANIFOLDS 徐森林, 陈春生, 张华明, 陈广华 数学物理学报(英文版). 1996 (4):  388-392.  摘要 ( 39 )   RICH HTML PDF(292KB) ( 30 )   收藏 This paper is concerning with the estimate of the first eigenvalue of hyper surface embedded in a compact manifolds with positive Ricci curvature.It leads to an upper bound of area of compact Riemannian surface embedded in S3. Secondly,spectral isomorphic problem is discussed. 相关文章 | 计量指标

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CONVERGENCE OF SOLUTIONS FOR RLC-NONLINEAR NETWORKS WITH TIME-VARYING ELEMENTS 蒋断发, 程正务 数学物理学报(英文版). 1996 (4):  393-405.  摘要 ( 53 )   RICH HTML PDF(702KB) ( 28 )   收藏 This paper studies the asymptotic behavior of solutions for nonlinear RLC-networks which have the following form L(i)(di/dt)=(∂P(i,v,t)/∂i)), C(v)(dv/dt)=-(∂P(i,v,t)/∂v). The function P(i,v,t),called tile mired potential function,call be used to construct Liapunov functions to prove the convergence of solutions under certain conditions. Under the assumption that every element value involving voltage source is asymptotically constant, we establish four creteria for all solutions of such a system to converge to the set of equilibria of its limiting equations via LaSalle invariant principle.We also present two theorems on the existence of periodic solutions for periodically excited nonlinear circuits.This results generalize those of Brayton and Moser[1,2]. 相关文章 | 计量指标

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A SUFFICIENT AND NECESSARY CONDITION FOR A SET E WITH dimHE=dimPE 李文侠, 肖冬梅 数学物理学报(英文版). 1996 (4):  406-411.  摘要 ( 55 )   RICH HTML PDF(317KB) ( 31 )   收藏 For any analytic set E,a sufficient and necessary of dimHE=dimPE is given. 相关文章 | 计量指标

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SUBCRITICAL ASYMPTOTIC BEHAVIOR IN THE MODIFIED LUSHNIKOV PROCESS OF POLYMERIZATION 韩东 数学物理学报(英文版). 1996 (4):  412-420.  摘要 ( 51 )   RICH HTML PDF(459KB) ( 29 )   收藏 We consider a modified Lnshnikov process as a model of a chemical polymer ization anf study the asymptotic behavior (in the thermodynamic limit;as N →∞)of a particular probability distribution on the set of N-dimensional vectors,tile kth component of which is the number of k-mers.The study study establishes the existence of three stages (subcritical,near-critical and supercritical stages)of polymerization,dependenting upon the ratio of association and dissociation rates of polymers.The present paper concentrates on the analysis of tile subcritical stage.In the subcritical.stages we show that tile size of the largest length of polymers of size N is of the order.log N as N →+∞. 相关文章 | 计量指标

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ON INITIAL BOUNDARY VALUE PROBLEMS FOR NONLINEAR SCHRÖDINGER EQUATIONS 李用声, 陈庆益 数学物理学报(英文版). 1996 (4):  421-431.  摘要 ( 38 )   RICH HTML PDF(600KB) ( 42 )   收藏 In this paper we consider tile initial boundary value problems for the nonlinear Schrödinger equation iut+△u+f(|u|2)u=0, t ≥ 0, x∈Ω, u(0,x)=u0(x), x∈Ω with boundary conditions u(t,x)|∂Ω=0 or ∂u/∂v|∂Ω=0 where Ω=Rn\B(0,1) is the exterior domain of the unit ball B(0,1).We prove that the smooth,radially symmetric solutions of the problem exists globally and uniquely when|f(s)|≤ Cs(p-1)/2 and 1 ≤ p< 5 and also prove that the solutions blow up when f(s)=λs(p-1)/2(λ>0) and p ≥ 5 under appropriate conditions on no and obtain some properties for blow-up solutions. 相关文章 | 计量指标

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SUBJECTIVE RADE-OFF RATE METHOD OF MULTIOBJECTIVE DECISION-MAKING 王先甲, 王秋庭, 冯尚友 数学物理学报(英文版). 1996 (4):  432-441.  摘要 ( 52 )   RICH HTML PDF(632KB) ( 32 )   收藏 This paper proposes a mathod of subjective trade-off rate which describles decision-maker's preferince in multiobjective decision-making. Decision-maker can arbitrarity determine his subjective trade-off rate,but it is not sure to be effective.The paper finds aft effective upper bound of subjective trade-off rate,which is the KuhnThcker multiplier of some mathematical programming.For the subjective trade-off rate not being larger than the upper bonnd,the solving method and properties of the optimal solution corresponding tile trade-off rate are discussed.The paper lastly develops the process of solving multiobjective decision-making with the subjective trade-off rate method. 相关文章 | 计量指标

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STOKES COUPLING METHOD FOR THE EXTERIOR FLOW PART Ⅱ: WELL-POSEDNESS ANALYSIS 李开泰, 何银年 数学物理学报(英文版). 1996 (4):  442-457.  摘要 ( 38 )   RICH HTML PDF(845KB) ( 34 )   收藏 In this paper,we recall the Stokes coupling method for solving the exterior unsteady Navier-Stokes equations.Moreover, we derive the coupling variational formulation of the Stokes coupling problem by use of the integral representations of the solution of the Stokes equations at an infinite domain.Finally, we provide some properties of the integral operators over the artificial boundary and the well-posedness of the coupling variational formulation. 相关文章 | 计量指标

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ON A KIND OF THE BEST ESTIMATES FOR THE EULER CONSTANT γ 熊规景 数学物理学报(英文版). 1996 (4):  458-468.  摘要 ( 49 )   RICH HTML PDF(547KB) ( 29 )   收藏 This paper gives a series of representations and a kind of the best estimates for the Euler constant γ. 相关文章 | 计量指标

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ON POSITIVE SOLUTIONS OF ONE CLASS OF NONLINEAR DIFFERENTIAL EQUATIONS 杨春鹏 数学物理学报(英文版). 1996 (4):  469-476.  摘要 ( 32 )   RICH HTML PDF(421KB) ( 31 )   收藏 In this paper, we establish a 1-1 correspondence between positive solutions of one class of nonlinear differential equations and a class of harmonic functions.These results give an explicit description of E.B.Dynkin's class Hα of positive harmonic functions. 相关文章 | 计量指标