共查询到20条相似文献,搜索用时 15 毫秒
1.
The authors study the -limit set dichotomy of the Kolmogorov systems
i=xi
f
i(x)x
i0, 1in with the cooperative and irreducible hypotheses and obtain the quasiconvergence almost everywhere when n=3, which gives an affirmative answer to the open problem by Smith [9, p.72] in the case of n=3. 相似文献
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F. Balibrea Gallego J.L. García Guirao J.I. Muñoz Casado 《Journal of Difference Equations and Applications》2013,19(3-4):289-304
We consider Sturm–Liouville eigenvalue problems of second order with arbitary seperated boundary conditions and perform a suitabl discretization of them. The obtained discrete Sturm–Liouville eigenvalue problems are examined and the asymptotic behavior of their eigenvalue as the norm of the partition tends to zero is investigated. 相似文献
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This paper presents four new recursive constructions for large sets of v–1 STS(v). These facilitate the production of several new infinite families of such large sets. In particular, we obtain for each n2 a large set of 3
n
–1 STS (3
n
) whose systems intersect in 0 or 3 blocks. 相似文献
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Set-Valued and Variational Analysis - Using a new implicit discretization scheme, we study in this paper the existence and uniqueness of strong solutions for a class of Lur’e dynamical... 相似文献
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Ling-shu Wang Guang-hui Feng 《应用数学学报(英文版)》2007,23(1):161-176
In this paper,we study structure-preserving algorithms for dynamical systems defined by ordinarydifferential equations in R~n.The equations are assumed to be of the form y~·=A(y) D(y) R(y),where A(y)is the conservative part subject to 相似文献
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In this paper we investigate Martelli’s chaos of inverse limit dynamical systems and hyperspace dynamical systems which are both induced from dynamical systems on a compact metric space. We give the implication of Martelli’s chaos among those systems. More precisely, we show that inverse limit dynamical system is Martelli’s chaos if and only if so is original system, and we prove that hyperspace dynamical system is Martelli’s chaos implies original system is Martelli’s chaos if the orbit of every single point set of original system is unstable in hyperspace dynamical system. 相似文献
11.
On Periodic Solution of Nonconservative Systems 总被引:2,自引:0,他引:2
61.IntroductionandPreliminariesConsiderthefollowingnonconservativesystemsxH Bxl gradG(x,t)=O.'(l-1)WhereBisasymmetricconstantnXnmatrixandG:M '-R'isacontinuousfunction2K-pe-riodicwithrespecttot,C'-differentiablewithrespecttox.ThereweremanyauthorswhohaddiscussedtheexistenceanduniquenceofthePeriodicsolutionofthesystems(1.1)lforin-stance,seeL1~3'7~8Jetc.ThepurPoseofthispaperistogeneralizetheresultsof[l~3jandmakethemascorollariesif]lBlI2相似文献
12.
The main purpose of this paper is to investigate the connection between the Painlev′e property and the integrability of polynomial dynamical systems. We show that if a polynomial dynamical system has Painlev′e property, then it admits certain class of first integrals. We also present some relationships between the Painlev′e property and the structure of the differential Galois group of the corresponding variational equations along some complex integral curve. 相似文献
13.
The present study aims at the derivation of model-based control laws that attain the invariance objective for nonlinear skew-product discrete-time dynamical systems. The problem under consideration naturally arises in a variety of control problems pertaining to physical/chemical systems, and in the present study, it is conveniently formulated and addressed in the context of functional equations theory. In particular, the mathematical formulation of the problem of interest is realized via a system of nonlinear functional equations (NFEs), and a rather general set of necessary and sufficient conditions for solvability is derived. The solution to the above system of NFEs can be proven to be a unique locally analytic one, and this enables the development of a series solution method that is easily programmable with the aid of a symbolic software package such as MAPLE. It is also shown that, on the basis of the solution to the above system of NFEs, a locally analytic manifold and a nonlinear control law can be explicitly derived that renders the manifold invariant for the class of skew-product systems considered. Furthermore, the restriction of the system dynamics on the aforementioned invariant manifold represents exactly the target controlled system dynamics. Finally, the proposed method is applied to the HF molecular system classically modeled as a rotationless Morse oscillator in the presence of an external laser-field, where the primary objective is molecular dissociation. 相似文献
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OntheComplexityoftheJuliaSetsofRationalFunctionsQiaoJianyong(乔建永)(InstituteofMathematics,AcademiaSinica,Beijing,100080)Commun... 相似文献
15.
E. K. Makarov 《Differential Equations》2016,52(10):1293-1299
For the coefficients of linear differential systems, we consider classes of piecewise continuous perturbations that are infinitesimal in mean on the positive half-line with some positive piecewise continuous weight belonging to a given set. We obtain sufficient conditions for such a class to be Γ-limit, i.e., to admit the computation of a reachable upper bound of the exponents of linear differential systems with perturbations in that class by a formula similar to the well-known formulas for the central and exponential exponents. 相似文献
16.
Jun Ling ZHOU Yan Xun CHANG 《数学学报(英文版)》2006,22(1):311-318
In this paper, we first define a doubly transitive resolvable idempotent quasigroup (DTRIQ), and show that aDTRIQ of order v exists if and only ifv ≡0(mod3) and v ≠ 2(mod4). Then we use DTRIQ to present a tripling construction for large sets of resolvable directed triple systems, which improves an earlier version of tripling construction by Kang (J. Combin. Designs, 4 (1996), 301-321). As an application, we obtain an LRDTS(4·3^n) for any integer n ≥ 1, which provides an infinite family of even orders. 相似文献
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On Singular Sets of Local Solutions to p-Laplace Equations 总被引:1,自引:1,他引:0
Hongwei LOU 《数学年刊B辑(英文版)》2008,29(5)
The author proves that the right-hand term of a p-Laplace equation is zero on the singular set of a local solution to the equation. Such a result is used to study the existence of an optimal control problem. 相似文献
18.
Reducibility on admissible sets is studied which is a stronger version of the usual -presentability of models. One of its informal prototypes is the interpretability of one computational device in the other. We obtain criteria of reducibility for recursively listed and pure sets, introduce the notion of jump, and prove exact boundaries for the ordinals of jumps. We also show that this reducibility is lifted to
-superstructures. Several results are proven on the relations of this reducibility to some known reducibilities. 相似文献
19.
V. A. KHATSKEVICH V.A. SENDEROV 《数学学报(英文版)》2006,22(6):1687-1694
The operator sets, which are the subject of this paper, have been studied in many papers where, under different restrictions on the generating operators, convexity, compactness in the weak operator topology, and nonemptiness were proved for sets of different classes under study. Then the results obtained were used in these papers to solve several applied problems. Namely, they played the key role in establishing the dichotomy of nonautonomous dynamical systems, with either continuous or discrete time. In the present paper, we generalize and sharpen the already known criteria and obtain several new criteria for convexity, compactness, and nonemptiness of several special operator sets. Then, using the assertions obtained, we construct examples of sets of the form under study which are nonconvex, noncompact in the weak operator topology, as well as empty, and are generated by "smooth" operators of a special class. The existence problem for such sets remained open until the authors of this paper announced some of its results. 相似文献
20.
Takashi Noiri 《Acta Mathematica Hungarica》2005,107(4):307-318
Summary New classes of sets called -closed sets and s-closed sets are introduced and studied. Also, we introduce and study -continuous functions and s-continuous functions and prove pasting lemma for these functions. Moreover, we introduce classes of topological spaces -T1/2 and -Ts. 相似文献