Spatial Structure of Regular and Chaotic Orbits in A Self-Consistent Triaxial Stellar System     

J. C. Muzzio  D. D. Carpintero  F. C. Wachlin 《Celestial Mechanics and Dynamical Astronomy》2005,91(1-2):173-190

We created a triaxial stellar system through the cold dissipationless collapse of 100,000 particles whose evolution was followed with a multipolar code. Once an equilibrium system had been obtained, the multipolar expansion was freezed and smoothed in order to get a stationary smooth potential. The resulting model was self-consistent and the orbits and Lyapunov exponents could then be computed for a randomly selected sample of 3472 of the bodies that make up the system. More than half of the orbits (52.7 % ) turned out to be chaotic. Regular orbits were then classified using the frequency analysis automatic code of Carpintero and Aguilar (1998, MNRAS 298(1), 1–21). We present plots of the distributions of the different kinds of orbits projected on the symmetry planes of the system. We distinguish chaotic orbits with only one non-zero Lyapunov exponent from those with two non-zero exponents and show that their spatial distributions differ, that of the former being more similar to the one of the regular orbits. Most of the regular orbits are boxes and boxlets, but the minor axis tubes play an important role filling in the wasp waists of the boxes and helping to give a lentil shape to the system. We see no problem in building stable triaxial models with substantial amounts of chaotic orbits; the difficulties found by other authors may be due not to a physical cause but to a limitation of Schwarzschild’s method.  相似文献   

基于双置乱的图像加密算法   总被引：2，自引：2，他引：0  

闵连权 《测绘科学》2006,31(3):71-72,139

对图像进行置乱操作是实现图像加密的一种有效手段,它的加密效果依赖于所选择的置乱矩阵。文中讨论了混沌序列的特性,利用混沌序列对初值条件的敏感性生成位置置乱矩阵和灰度置乱矩阵,二者结合完成图像信息的加密。实验证明,所提算法是高效的、安全的。  相似文献   

On the quest for chaotic attractors in hydrological processes     

《水文科学杂志》2013,58(6):1065-1091

Abstract

In the last two decades, several researchers have claimed to have discovered low-dimensional determinism in hydrological processes, such as rainfall and runoff, using methods of chaotic analysis. However, such results have been criticized by others. In an attempt to offer additional insights into this discussion, it is shown here that, in some cases, merely the careful application of concepts of dynamical systems, without doing any calculation, provides strong indications that hydrological processes cannot be (low-dimensional) deterministic chaoti. Furthermore, it is shown that specific peculiarities of hydrological processes on fine time scales, such as asymmetric, J-shaped distribution functions, intermittency, and high autocorrelations, are synergistic factors that can lead to misleading conclusions regarding the presence of (low-dimensional) deterministic chaos. In addition, the recovery of a hypothetical attractor from a time series is put as a statistical estimation problem whose study allows, among others, quantification of the required sample size; this appears to be so huge that it prohibits any accurate estimation, even with the largest available hydrological records. All these arguments are demonstrated using appropriately synthesized theoretical examples. Finally, in light of the theoretical analyses and arguments, typical real-world hydrometeorological time series, such as relative humidity, rainfall, and runoff, are explored and none of them is found to indicate the presence of chaos.  相似文献   

三峡梯级枢纽多目标生态优化调度模型及其求解方法   总被引：2，自引：0，他引：2  

卢有麟  周建中  王浩  张勇传 《水科学进展》2011,22(6):780-788

针对三峡梯级枢纽综合效益的充分发挥及其对长江流域典型生态系统修复及持续改善的科学需求,通过分析发电效益与生态效益之间的制约竞争关系,以发电量最大和生态缺水量最小为目标建立了梯级电站多目标生态优化调度模型,对三峡梯级枢纽多目标生态优化调度进行了研究。同时,针对传统优化方法难以同时处理多个调度目标的固有缺陷,提出一种改进多目标差分进化算法对所构建模型进行高效求解。该方法针对差分进化算法在多目标协同优化和全局寻优能力等方面的不足,依据问题的特点重新设计了差分进化算法的进化算子,同时设计了一种多目标混沌搜索策略以加强算法的局部搜索能力。最后,依据多目标生态优化调度问题的特点设计了一种不需要设置惩罚因子的约束处理方法。通过三峡梯级枢纽多目标生态优化调度的实例应用,验证了本文所构建模型的合理性以及所提出算法的有效性和工程实用性。  相似文献   

基于记忆电阻的Chua混沌电路的实现及动态性能分析     

齐爱学  卞丽  李卫兵 《中国海洋大学学报(自然科学版)》2011,41(6):119-124

提出利用磁通量控制的记忆电阻和1个负电导来替代典型蔡氏混沌电路的非线性电阻,并对改进后电路的理论推导、数值仿真、分岔图l、yapunov指数谱等系统的基本动力学特性进行分析,结果显示,该系统可由马蹄混沌吸引子过渡为双涡卷混沌吸引子,混沌行为更为复杂。最后,利用FPGA技术实现了该电路,实验结果表明,该系统能够产生混沌吸引子。  相似文献   

海洋激流的若干观测结果   总被引：14，自引：3，他引：11  

修日晨  顾玉荷  刘爱菊  叶和松  许兰英 《海洋学报》2000,22(4):118-124

最早指出海洋中存在激流的是美国WoodsHole海洋研究所海洋地质学家Hollister.他早年在分析大洋海底岩芯时发现有波状结构,认为这种波状结构是由于在远古时代的高速海水流动的作用所致,于是提出了一个大胆的假说,认为大洋海底存在着海底激流(又称海底风暴),并于1963年在美国旧金山召开的IUGG会议上提出了这个假说.遗憾的是在这次会议上这个假说并未引起人们的注意,甚至被指责是“一派胡言”.  相似文献   

Non-normality increases variance of gravity waves trapped in a tilted box     

U. Harlander  I. D. Borcia  A. Krebs 《地球物理与天体物理流体动力学》2019,113(5-6):602-622

  相似文献   

混沌理论在桥梁变形监测中的应用     

黄维腾 《地理空间信息》2022,20(2):147-151

针对桥梁的非线性下沉问题,引用了混沌理论,首先求取时间序列的两重构参数时间延迟τ和嵌入维数m进行相空间重构;随后进行混沌特性判别,确定该时间序列存在混沌迹象;最后根据所求参数建立加权零阶局域预计模型和RBF神经网络混沌预计模型对观测数据进行预计分析,并与系数为0.9的指数平滑预测模型进行比较,结果显示混沌预计模型值更接...  相似文献   

结合多混沌映射和输出反馈的图像加密算法   总被引：1，自引：1，他引：0  

朱从旭  黄大足  郭迎 《武汉大学学报(信息科学版)》2010,(5)

提出了一种结合多个Logistic混沌映射和逐段正弦混沌映射的图像加密算法。通过m个Logistic混沌映射的多次迭代,分别产生m个分段正弦混沌映射的初值和参数值,由m个分段正弦混沌映射迭代产生图像加密密钥序列,并引入密文输出反馈机制,对图像像素值逐点进行2轮异或加密。实验表明,该算法使密文对明文和密钥都充分敏感,加密图像像素值具有类随机均匀分布特性,相邻像素具有零相关特性,而且算法具有密钥空间大、加密速度快的优越性。  相似文献   

唐代治乱分期与气候变化的关系^*          下载免费PDF全文

王晓晴  章典  裴卿  张盛达  李腾 《古地理学报》2020,22(2):385-396

将唐代定量划分为治世与乱世5个时期,探讨了唐代治乱分期与气候变化的关系。治世、乱世的划分标准参考一套系统的战争数据集,并用单因素方差分析的方法验证各项数据指标在治世与乱世间的差异性,从而说明唐代治世、乱世分期的合理性。治世、乱世分期结果如下: 公元618—626年为乱世,公元627—742年为治世,公元743—784年为乱世,公元785—859年为治世,公元860—907年为乱世。方差分析的结果显示,除了总边境战争外,气候变化、总战争、反叛战争、进攻型边境战争、防御型边境战争、农业丰歉等级和人口增长率在治世与乱世之间均表现出显著差异。用战争定量体现唐代社会治世、乱世变化,探讨气候变化与社会治、乱的关系即是探讨气候变化与战争的关系,乱世的主要战争类型是反叛战争和防御型边境战争,治世的主要战争类型是进攻型边境战争。相关分析结果表明,唐代温度降低、降水减少的时期,农业收成减少导致资源供给不足,更容易发生反叛战争;温度暖期、降水充沛的时期,农业产量提高,刺激了快速增长的人口,在技术改善能力有限、土地资源一定的情况下,更易发生以对外扩张为目的的边境战争,因此气候变化是影响唐代社会治乱变化的重要原因之一。  相似文献