本文对平均方程的稳态解、周期解以及混沌解进行了研究。
The equilibrium solution, the periodic solution and chaotic solution of averaging equations are examined in this paper.
讨论了纽结理论对量子混沌的应用，并揭示了量子系统中混沌解的拓扑结构。
This paper discusses the application of knot theory to quantum chaos, reveals the topological structure of the chaotic solution of quantum systems.
由于混沌具有遍历性，TSP问题总是能够达到最优解。
Due to chaotic ergodicity, TSP can always achieve optimal path.
算例表明，当混沌搜索的次数达到一定数量时，混合优化方法可以保证算法收敛到全局最优解，且计算效率比混沌优化方法有很大提高。
Numerical examples illustrate that the present method possesses both good capability to search global optima and far higher convergence speed than that of chaos optimization method.
诗人试图以一种诗性的想象超越现实时间之网的缧绁，回到时间发生之前的原始混沌，重建理想的时间秩序，并借此释解生命的焦虑与困惑。
The poet attempted to transcend reality and reconstruct the order of time by returning to the primal chaos before time, underlying with which he alleviated the anxiety and perplexity of life.
固定外加激励幅值，通过改变激励频率可以明显看出由单一周期解经由倍周期道路通往混沌的演化过程。
Fixing the amplitude and changing the frequency of forced simulation, we find an evolution procedure of the system through period doubling route to chaos.
最近发现，通过直接微扰法可以得到一类微扰作用下的混沌系统的形式解。
The direct perturbation technique, proposed recently, successfully deals with a kind of perturbed chaotic system and obtains their formal solutions for each order.
最近发现，通过直接微扰法可以得到一类微扰作用下的混沌系统的形式解。
The direct perturbation technique, proposed recently, successfully deals with a kind of perturbed chaotic systems and obtains their general solutions for each order.
本文讨论一类传染病模型的空间周期解及混沌问题。
The space periodic solution and chaos of a class of infectious disease model are discussed in this paper.
具有瞬态混沌特性的神经网络(TCNN)可以解tsp。
Neural Network with Transient Chaos (TCNN) can be used to solve the Traveling Salesman Problem (TSP).
应用粒子群优化算法(PSO)求解电力系统无功优化问题，提出基于混沌搜索的混合粒子群优化算法，以克服P SO容易早熟而陷入局部最优解的缺点。
The chaos search based hybrid particle swarm optimization (PSO) algorithm is proposed in the paper to avoid the premature phenomenon of PSO, which is applied into the reactive power optimization.
混沌看作是确定性的非线性系统出现的具有内在随机性的解。
Chaos is looked as the solution with internal stochastic property in the nonlinear deterministic systems.
数值模拟表明，随着参数的改变，空间扩展系统由均匀稳态、行波解向时空混沌演化。
Numerical simulations show that the spatially extended system has the homogeneous stationary states, the traveling wave solutions and the spatiotemporal chaos states with the change of its parameters.
本文用量子力学导出了激光- DNA相互作用的运动方程，并分析了此方程之解所反映的系统之混沌态问题。
The Laser DNA interaction system motion equation was derived by means of quantum mechanics, and the problem of chaotic state of the system expressive the solution of this eq.
为了研究混沌运动，对一类非线性动力系统的自由振动方程进行了求解，继之给出了单层扁锥面网壳非线性自由振动微分方程的准确解。
In order to study chaos movement, Accurate solution of non-linear free vibration differential equation is by solving a kind of free vibration equation of non-linear dynamics system.
并对系统多重参数组合共振情况进行数值模拟，分析了周期解、分岔和混沌问题。
Use numerical simulation method to simulate the multi-parametric combination resonance condition for the system, analyse the periodic value, bifurcations and chaos of the system.
针对长码实值混沌直扩系统，提出了两种盲解扩算法。
Two new methods are developed for blind estimation for long-code chaotic spread spectrum sequence.
该算法在解空间内将实数染色体通过反向变换映射到量子位，采用量子位概率指导的实数交叉与混沌变异相结合的方法对实数染色体进行演化搜索。
In this algorithm, real chromosomes were inversely mapped to Qbits in the solution space. Qbits probability guided real cross and chaos mutation were used to real chromosomes evolution and searching.
基于混沌栅格预处理模型和管路自动敷设问题的定义，提出管路敷设设计解空间的表达方法。
Based on define of the automatic pipeline laying problem and CGPM, expression method of the solution space of the pipeline laying design is provided.
最后，对变化后的个体加以混沌扰动，避免算法陷入局部最优解，提高局部搜索效率。
At last, it draws into chaotic perturbation operation to do heuristic mutation to accelerate convergence velocity and improve searching capability.
基于混沌分形计算方法对机构综合方程组进行了求解，得到了机构综合的全部解，并给出了数值实例。
It used the chaos and fractal calculation method to seek all the solutions of the mechanism's synthesis equations, and a numerical example was given to illustrate the effectiveness of the above -...
基于混沌分形计算方法对机构综合方程组进行了求解，得到了机构综合的全部解，并给出了数值实例。
It used the chaos and fractal calculation method to seek all the solutions of the mechanism's synthesis equations, and a numerical example was given to illustrate the effectiveness of the above -...
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