共查询到20条相似文献,搜索用时 15 毫秒
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Total production costs sometimes show an S-shaped form. There are several ways in which a plant with given capacity can be adapted to a specific demand rate, one of them being adaptation of intensity per work hour. In this paper we present an application of the Hamilton-Hopf bifurcation to an inventory/production intensity splitting model with a nonconvex cost function. Our analysis provides a new proof that persistent oscillations may be optimal for arbitrary small discount rates. For zero discounting a Hamilton Hopf bifurcation occurs, leading to a family of periodic solutions bifurcating from a steady state. If the discount rate becomes positive, almost all periodic solutions vanish; only a unique branch of periodic solutions is obtained. 相似文献
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本文考虑具时滞的n维神经网络模型.利用FDE的全局Hopf分支存在定理和Bendixson周期解不存在定理,给出该模型存在非平凡周期解的条件. 相似文献
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研究一类微气泡耦合时滞系统的稳定性以及Hopf分支,得到了稳定性和Hopf分支出现的条件,并利用泛函微分方程相关理论讨论出分支周期解的分支方向、稳定性和分支周期的变化律. 相似文献
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By the theory of periodic parabolic operators, Shauder estimates and bifurcation, the existence of positive periodic solutions for periodic prey-predator model with saturation is discussed. The necessary and sufficient conditions to coexistence of periodic system are obtained. 相似文献
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一个三维Chemostat竞争系统的Hopf分支和周期解 总被引:2,自引:0,他引:2
本文研究了一个三维Chemostat竞争系统的解的结构,分析了平衡点的稳定性和当系统的某一微生物物种处于竞争劣势趋于灭绝时另一微生物物种和养料的二维流形上极限环的存在性,以及系统的Hopf分支问题.文中用Friedrich方法得到了系统存在Hopf分支的条件,并判定了周期解的稳定性. 相似文献
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研究了一类具无穷时滞的中立型周期微分系统周期解的存在性问题.利用指数型二分性及Krasnoselskii不动点定理,建立了保证该系统的周期解的存在性的充分条件.所得结果推广了文[1-7]的有关结果. 相似文献
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Let T 1 be an integer, T = {0, 1, 2,..., T- 1}. This paper is concerned with the existence of periodic solutions of the discrete first-order periodic boundary value problems△u(t)- a(t)u(t) = λu(t) + f(u(t- τ(t)))- h(t), t ∈ T,u(0) = u(T),where △u(t) = u(t + 1)- u(t), a : T → R and satisfies∏T-1t=0(1 + a(t)) = 1, τ : T → Z t- τ(t) ∈ T for t ∈ T, f : R → R is continuous and satisfies Landesman-Lazer type condition and h : T → R. The proofs of our main results are based on the Rabinowitz's global bifurcation theorem and Leray-Schauder degree. 相似文献
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Stability of Periodic Solutions Generated by Hopf Points Emanating from a Z_2-symmetry-breaking Takens-Bogdanov PointWuWei(吴微... 相似文献
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研究了一类具有收获率的脉冲Lotka-Volterra竞争合作系统的正概周期解.通过利用重合度理论延拓定理、概周期理论和不等式分析技巧,获得了系统至少存在8个正概周期解的充分条件,推广和改进了早期文献的相关结果. 相似文献
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研究了一类具有脉冲和收获率的Lotka-Volterra捕食系统的正概周期解.通过利用重合度理论的延拓定理和不等式分析技巧,获得了系统至少存在四个正概周期解的充分条件,推广和改进了早期文献的相关结果. 相似文献
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In this paper,the authors obtain the existence of one-signed periodic solutions of the first-order functional difference equation ?u(n) = a(n)u(n)-λb(n)f(u(n-τ(n))),n ∈ Z by using global bifurcation techniques,where a,b:Z → [0,∞) are T-periodic functions with ∑T n=1 a(n) 0,∑T n=1 b(n) 0;τ:Z → Z is T-periodic function,λ 0 is a parameter;f ∈ C(R,R) and there exist two constants s_2 0 s_1 such that f(s_2) = f(0) = f(s_1) = 0,f(s) 0 for s ∈(0,s_1) ∪(s_1,∞),and f(s) 0 for s ∈(-∞,s_2) ∪(s_2,0). 相似文献
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In this paper, the authors study the existence of periodic solutions to an evolution p-Laplacian system. The authors prove a comparison principle of the system in general form. Then the existence of periodic solutions to the system of evolution p-Laplacian equations is obtained with the help of the comparison principle and the monotone iteration technique. 相似文献
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We establish the existence of positive periodic solutions of the second-order singular coupled systems{x′′+ p_1(t)x′+ q_1(t)x = f_1(t, y(t)) + c_1(t),y′′+ p_2(t)y′+ q_2(t)y = f_2(t, x(t)) + c_2(t),where pi, qi, ci ∈ C(R/T Z; R), i = 1, 2; f_1, f_2 ∈ C(R/T Z ×(0, ∞), R) and may be singular near the zero. The proof relies on Schauder's fixed point theorem and anti-maximum principle.Our main results generalize and improve those available in the literature. 相似文献
15.
This paper presents a collocation method with an iterative linear system solver to compute periodic solutions of a system
of autonomous delay differential equations (DDEs). We exploit the equivalence of the linearized collocation system and the
discretization of the linearized periodic boundary value problem (BVP). This linear BVP is solved using a variant of the Newton-Picard
method [Int. J. Bifurcation Chaos, 7 (1997), pp. 2547–2560]. This method combines a direct method in the low-dimensional subspace
of the weakly stable and unstable modes with an iterative solver in the high-dimensional orthogonal complement. As a side
effect, we also obtain good estimates for the dominant Floquet multipliers. We have implemented the method in the DDE-BIFTOOL
environment to test our algorithm.
AMS subject classification (2000) 65J15, 65P30, 65Q05 相似文献
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Hui Fang 《Czechoslovak Mathematical Journal》2003,53(3):561-570
In this paper, we employ some new techniques to study the existence of positive periodic solution of n-species neutral delay system N
i
= N
i
(t)[
i
(t) —
ij
(t)N
j
(t) —
b
ij
(t)N
j
(t—
ij
(t))—
c
ij
(t)N
j
(t—
ij
(t))].As a corollary, we answer an open problem proposed by Y. Kuang. 相似文献
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