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By use of the ergodic property of chaos movement and the inversion of genetic algorithm, a chaos genetic algorithm was proposed. Its basic principle lies in the small disturbance of which extent is adjusted during searching to child generation group using the chaos variable.

摘 要:利用混沌优化的遍历性和遗传算法优化的反演性,提出了混沌遗传算法,其基本思想是把混沌变量加载于遗传算法的变量群体中,利用混沌变量对子代群体进行微小扰动,随着搜索过程的进行逐渐调整扰动幅度。

In this thesis, a new detection method, Network Intrusion Detection based on Unsupervised Clustering and Chaos Simulated Annealing algorithm, is proposed. NIDCCSA utilizes the ergodic property of chaos to complete the perturbation of states. Therefore, simulated annealing algorithm based on chaos is more likely to converge to the globally optimal solution and enhance the detection rate.

论文中提出使用聚类和混沌模拟退火算法进行网络入侵检测——NIDCCSA算法,NIDCCSA算法充分利用了混沌的遍历性特点进行状态的变换,这样的混沌模拟退火算法更加可能收敛到全局最优解,从而提高检测率。

For a class of bilevel multi-objective decision,this paper converts it into the problem of equivalent single-level multi-objective decision,then makes use of the inversion property of the genetic algorithm with the ergodic property of the chaos optimization method.

针对求解一类二层多目标决策问题,首先将其转化为等价的单目标决策问题,然后利用遗传算法优化的反演性和混沌优化方法的遍历性,并结合精确不可微罚函数求解非线性约束优化问题,提出了求解此类问题的混沌遗传算法。

For a class of bilevel multi-objective decision,this paper converts it into the problem of equivalent single-level multi-objective decision,then makes use of the inversion property of the genetic algorithm with the ergodic property of the chaos optimization method.Combined with exact non-differentiable penalty function,a new chaos genetic optimization algorithm is presented.

针对求解一类二层多目标决策问题,首先将其转化为等价的单目标决策问题,然后利用遗传算法优化的反演性和混沌优化方法的遍历性,并结合精确不可微罚函数求解非线性约束优化问题,提出了求解此类问题的混沌遗传算法。

A class of bilevel multi-objective programming was converted into the problem of equivalent single-level multi-objective programming. Then a new chaos genetic optimization algorithm was presented by using the inversion property of genetic algorithm and the ergodic property of chaos optimization method and combining with the exact l_1 penalty function.

针对求解一类二层多目标规划问题,首先将其转化为等价的单目标规划问题,然后利用遗传算法优化的反演性和混沌优化方法的遍历性,并结合精确罚函数求解非线性约束优化问题,提出了求解此类问题的混沌遗传算法。

Firstly, we consider the problem of the representation formula for the transition probability density of a right process under Girsanov transform. Secondly,we consider the problem of the MEMMs (minimal entropy martingale measure)for Markov switching Levy processes, and justify that the minimal entropy martingale measure is obtained by some regime switching Esscher transform. At last,we consider the problem of the invariant measure and the ergodic property of recurrent right processes. This paper includes 5 chapters.

首先,我们考虑了满足一定条件的右过程在Girsanov变换下的转移概率密度的表达式问题;其次,我们考虑了由Markov调制的Lévy过程的最小相对熵鞅测度的问题,证明了其最小相对熵鞅测度是某个状态转换Esscher变换;最后,我们考虑了右过程的不变测度及其遍历性的问题。

In this paper,results of Markov chain are used under the circumstances of the automaton model which belongs to logical level of Discrete Event System to analyze the steady states and transient states of the Markov model of DES,respectively based on four conditions of discrete-time parameter and continuous-time parameter.A simpler decision rule of system ergodic property which applies both to the conditions of discrete-time parameter and continuous-time parameter is presented through an example.The transient states of DES which under the condition of continuous-time parameter are analyzed and computed based on Kolmogorov backward equation or forward equation.

利用马尔科夫链的结果,在离散事件系统逻辑层次的自动机模型基础上,对DES的Markov模型的稳态和暂态特性,分别从时间参数连续和离散的情况下,分四个情况进行了分析,通过实例对系统遍历性提出了一条更简单的且在连续和离散时间参数情况下都通用的判定规则,并利用Kolmogorov向后或向前方程,对连续时间参数DES的暂态特性进行了分析和计算。

And become ergodic state when tangent delays more units than one.

切延迟大于 1单位时走向各态遍历

Investment share ; market share ; portfolio ; random dynamical system ; multiplicative ergodic theorem

投资份额;市场份额;资产组合;随机动力系统;乘积遍历理论

Oseledec\'s Multiplicative Ergodic Theorem does not only solve the existence of Lyapunov exponents, but also show much more information of the dynamical structure.

Oseledec的乘法遍历定理解决了Lyapunov指数的存在性问题,并对动力系统的动力学结构给出了更多的信息,它现在已成为动力系统理论的最基本定理之一。

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然而,正如其名字所指出的那样,CD盘不能写,也不能用任何方式改变其内容。

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