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1.
王洪礼  许佳  葛根 《海洋通报》2008,27(3):38-42
根据藻类-浮游动物的食物链关系,建立了一个随机非线性动力学模型,运用随机平均法对模型进行了化简,运用拟不可积Hamilton系统的相关理论和Oseledec乘性遍历定理求解了模型的最大Lyapunov指数,得到了模型随机稳定性的条件;利用动态系统不变测度的Lyapunov指数和系统响应概率密度并结合奇异边界的性态分析了模型的随机Hopf分岔行为,得到了分岔参数,并讨论了分岔参数对系统性态的影响.  相似文献   

2.
为了研究随机干扰因素与藻类生态系统稳定性之间的相互关系,运用随机非线性理论建立了藻类—营养盐的随机非线性动力学模型,采用随机平均法和奇异边界理论对模型的稳定性进行了分析,结果表明随机因素对稳定性的影响很大。随机因素可以使系统稳定性发生质的变化。  相似文献   

3.
刘浩然  朱占龙  时培明 《海洋学报》2010,32(10):6770-6777
建立了具有时变刚度、非线性阻尼和谐波激励的一类相对转动时滞非线性动力系统的动力学方程.采用多尺度法推导出时滞动力系统的分岔响应方程,运用奇异性理论研究系统结构稳定性,得到主共振稳态响应方程的转迁集以及不同参数下分岔曲线的拓扑结构.应用Hopf分岔理论讨论了时滞动力系统动态稳定性,给出了系统产生极限环的条件,最后用数值模拟的方法研究了时滞参数对系统极限环幅值的影响.  相似文献   

4.
首先建立了随机激励影响下的二维湖泊富营养化模型,运用随机动力学理论研究了该生态系统的随机稳定性与随机分岔现象,并分别探讨了参数和外部随机激励的变化对系统的稳定性与稳态转换的影响,研究结果表明随着控制参数的变化会引起系统发生稳态转换现象,同时还发现对水体中磷的浓度随机干扰是导致富营养化发生的重要因素。  相似文献   

5.
海洋生态经济系统非线性动力学模型的建立及分析,对我国海洋生态经济发展乃至社会经济的发展都具有重要意义.建立了新的海洋生态经济系统动力学模型,研究了模型的稳定性和分岔现象,揭示了该系统的非线性动力学特性.  相似文献   

6.
以Logistic模型为基础,考虑捕捞行为及其所造成的污染对浮游生物的削弱作用,并考虑浮游生态系统具有一定的自净能力,建立了一个新的海洋浮游生态系统非线性动力学模型。分析了模型的非线性动力学特性,并得出了模型的稳定性条件和发生Hopf分岔条件,在此基础上,深入分析了捕捞强度参数的变化对系统稳态的影响,并且用数值模拟验证了理论分析结果的正确性。  相似文献   

7.
建立了新的藻类-浮游动物生态非线性动力学模型,该模型考虑了藻类与浮游动物之间的增长关系。研究了模型平衡点的稳定性,以及Hop f分岔现象。通过对选取的分岔参数进行分析,揭示了该系统的动力学特性。  相似文献   

8.
赤潮藻类生态营养模型非线性动力研究   总被引:1,自引:1,他引:0  
基于营养盐、赤潮藻类、植食浮游动物之间的食物链关系,考虑到由于海洋内微生物分解动植物遗体对营养盐的补充以及物理因素导致的流失,文中建立了营养盐一赤潮藻类一植食性浮游动物相互作用的耦合生态动力学模型。运用现代非线性动力学理论,对模型解的动力学稳定性进行了分析。结果表明,随着参数的变化,系统稳定性也随之变化,甚至出现HOPF分岔现象。  相似文献   

9.
随机波面概率统计中的动力学应用   总被引:8,自引:1,他引:7  
通过构造带有随机初步条件的微分方程,论述了在线性海浪范围内动力学与统计学的协调性,然后把水波动力学中的研究成果引进随机波面统计中获得了非线性波面的概率分布形式,并由浅水因子和浅水波陡作为分布函数中的控制参量,从而发展了随机海浪的统计理论。  相似文献   

10.
本文研究了一类有脉冲影响的随机Nicholson果蝇模型,应用Lyapunov泛函、It■公式及某些不等式技巧给出了描述该模型方程的全局均方指数最终有界的充分性条件,并估计了指数收敛率和最终的一个界。进一步,给出了实例及仿真模拟,说明了本文所得结论的有效性。  相似文献   

11.
Wang  Li-yuan  Tang  You-gang  Li  Yan  Zhang  Jing-chen  Liu  Li-qin 《中国海洋工程》2020,34(2):289-298
The paper studies the parametric stochastic roll motion in the random waves. The differential equation of the ship parametric roll under random wave is established with considering the nonlinear damping and ship speed. Random sea surface is treated as a narrow-band stochastic process, and the stochastic parametric excitation is studied based on the effective wave theory. The nonlinear restored arm function obtained from the numerical simulation is expressed as the approximate analytic function. By using the stochastic averaging method, the differential equation of motion is transformed into Ito's stochastic differential equation. The steady-state probability density function of roll motion is obtained, and the results are validated with the numerical simulation and model test.  相似文献   

12.
Stochastic virtual population analysis   总被引:2,自引:1,他引:1  
  相似文献   

13.
A moment method for analysing the stochastic stability of the surge motion of a tethered buoyant platform (TBP) in a random sea is examined. In the differential equation describing the surge motion the variation of tether tension caused by the vertical component of the wave forces is random-time dependent in form. The asymptotic moment behaviour of the solution is determined and approximated in terms of an integral equation. Under the assumption of a narrow band process imposed upon the random coefficient, the stability results are obtained with the aid of deterministic stability theory. The mean square stability is studied and criteria for stability are obtained in terms of the damping coefficient and the auto-correlation function of the random sea.  相似文献   

14.
赤潮随机梯度回归分析   总被引:1,自引:1,他引:0  
赤潮的危害日益严重,为了预测赤潮的发生,运用回归树的随机梯度Boosting算法分析渤海赤潮数据, 建立浮游植物总量与环境因子的定量关系,给出各种环境因子对浮游植物总量相对影响的大小以及浮游植物总量和各种环境因子偏相关的图形,有利于探索赤潮的发生机制,指导菌种的培养. 最后,相比其它算法,回归树的随机梯度Boosting对于"局部剧增"的赤潮数据是稳健的,而且具有较高的预测精度.  相似文献   

15.
In conventional beamforming systems, the use of aperiodic arrays is a powerful way to obtain high resolution employing few elements and avoiding the presence of grating lobes. The optimized design of such arrays is a required task in order to control the side-lobe level and distribution. In this paper, an optimization method aimed at designing aperiodic linear sparse arrays with great flexibility is proposed. Simulated annealing, which is a stochastic optimization methodology, has been utilized to synthesize the positions and the weight coefficients of the elements of a linear array in order to minimize the peak of the sidelobes and to obtain a beam pattern that meets given requirements. An important novelty is the fact that the latter goal can be achieved in parallel to the minimization of both the number of elements and the spatial aperture, resulting in a “global” optimization of the array characteristics. The great freedom that simulated annealing allows in defining the energy function to be minimized is the main reason for the notable versatility and the good results of the proposed method. Such results show an improvement in the array characteristics and performances over those reported in the literature  相似文献   

16.
对具有未建模动态特性且时滞任意的多维随机系统,通过采用有界外来激励和随机变界截尾方法,本文建立了推广最小二乘(ELS)算法和加权ELS算法的稳健估计,进而得到间接自适应模型参考控制的稳健性  相似文献   

17.
防洪效益的随机模拟   总被引:2,自引:0,他引:2  
应用蒙特卡洛法模拟产生洪水系列,以防洪工程使用期为一个时间单位,考虑资金的时间价值,对工程的减灾损失进行了计算,得到了防洪效益的概率分布模式。为防洪工程经济决策评价的风险分析打下了基础  相似文献   

18.
This paper theoretically investigates three stochastic systems with cross-correlation Gaussian white noises. Both steady state properties of the stochastic nonlinear systems and the nonequilibrium transitions induced by the cross-correlated noises are studied. The stationary solutions of the Fokker-Planck equation for three specific examples are analysed. It is shown explicitly that the cross-correlation of white noises can induce nonequilibrium transitions.  相似文献   

19.
The aim of this study is to examine both the stochastic rolling motion of ships in following seas by using analytical and numerical safe basin concept and to show how the concept of safe basin can be utilized for the assessment of the stability of ships. First, the boundary of the analytic safe basins of stochastic rolling motion is obtained by using the Lyapunov function used by Schurz (2009). Second, the safe basins of stochastic rolling motion are obtained numerically by using stochastic Euler (Euler–Maruyama) method. It is concluded that the analytically and numerically obtained safe basins are coherent. Lastly, the practical intact stability criterion for ships in following seaway is developed by proposing a formula given for the maximum width of analytic safe basin.  相似文献   

20.
王振杰  方稚 《海洋测绘》2014,34(6):29-31,35
为了满足在复杂观测条件下GPS基线解算的精度要求,研究了一种新的随机模型。与基于卫星高度角的随机模型难以定义出观测值之间的空间相关性不同,该随机模型核心是基于最小二乘估计得到的残差序列,通过移动窗口,利用前几个历元的残差序列,对当前历元观测值的方差-协方差阵进行实时估计。通过实例分析,将其与传统的随机模型的计算结果进行对比,验证了该实时随机模型在改善基线解算精度方面的有效性。  相似文献   

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