Dynamics of two satellites in the 2/1 Mean–Motion resonance: application to the case of Enceladus and Dione     

N. CallegariJr.  T. Yokoyama 《Celestial Mechanics and Dynamical Astronomy》2007,98(1):5-30

The dynamics of a pair of satellites similar to Enceladus–Dione is investigated with a two-degrees-of-freedom model written in the domain of the planar general three-body problem. Using surfaces of section and spectral analysis methods, we study the phase space of the system in terms of several parameters, including the most recent data. A detailed study of the main possible regimes of motion is presented, and in particular we show that, besides the two separated resonances, the phase space is replete of secondary resonances.  相似文献   

黑河日径流量混沌变化特性研究   总被引：1，自引：1，他引：0  

陈引锋  方迎辉  朱巧英 《地下水》2010,32(3):121-123

通过对黑河日径流量变化规律的探索,重点论述相空间嵌入滞时的确定方法。计算结果表明：黑河日径流量的自相关函数呈现出明显的周期性,其周期与日径流量数据序列的周期基本一致;另外,采用了曲线下降趋势变缓的转折点,得到黑河日径流量序列的时间延迟为10天。  相似文献   

基于改进麻雀搜索算法优化BP神经网络的PM_(2.5)浓度预测北大核心CSCD   总被引：1，自引：0，他引：1  

赵侃  师芸  牛敏杰  王虎勤 《测绘通报》2022,(10):44-48

针对传统BP神经网络模型收敛速度慢、易陷入局部极值等问题,本文采用分段线性混沌映射(PWLCM)和萤火虫算法(FA)改进麻雀搜索算法(SSA),并优化BP神经网络模型初始权值和阈值,对西安市PM_(2.5)浓度进行预测。通过比较不同模型预测结果的评价指标,并与性能较优的SSA-BP模型对比,ISSA-BP模型预测结果的RMSE、MAPE、MAE分别下降了3.70、3.73、3.34。试验结果表明,改进后的麻雀搜索算法具有高效的全局最优搜索能力,优化后的ISSA-BP神经网络预测稳定性高,精度优于BP、SSA-BP神经网络模型,可用于预测PM_(2.5)浓度。  相似文献   

Chaotic scattering in the restricted three-body problem I. The Copenhagen problem     

L. Benet  D. Trautmann  T.H. Seligman 《Celestial Mechanics and Dynamical Astronomy》1996,66(2):203-228

We consider the scattering motion of the planar restricted three-body problem with two equal masses on a circular orbit. Using the methods of chaotic scattering we present results on the structure of scattering functions. Their connection with primitive periodic orbits and the underlying chaotic saddle are studied. Numerical evidence is presented which suggests that in some intervals of the Jacobi integral the system is hyperbolic. The Smale horseshoe found there is built from a countable infinite number of primitive periodic orbits, where the parabolic orbits play a fundamental role.  相似文献   

The onset of chaotic motion in the restricted problem of three bodies   总被引：1，自引：0，他引：1  

R. H. Smith  V. Szebehely 《Celestial Mechanics and Dynamical Astronomy》1993,56(3):409-425

A full characterization of a nonintegrable dynamical system requires an investigation into the chaotic properties of that system. One such system, the restricted problem of three bodies, has been studied for over two centuries, yet few studies have examined the chaotic nature of some ot its trajectories. This paper examines and classifies the onset of chaotic motion in the restricted three-body problem through the use of Poincaré surfaces of section, Liapunov characteristic numbers, power spectral density analysis and a newly developed technique called numerical irreversibility. The chaotic motion is found to be intermittent and becomes first evident when the Jacobian constant is slightly higher thanC ₂.  相似文献   

Surfaces of section in the Miranda-Umbriel 3:1 inclination problem     

Michèle Moons  Jacques Henrard 《Celestial Mechanics and Dynamical Astronomy》1994,59(2):129-148

The recent numerical simulations of Tittemore and Wisdom (1988, 1989, 1990) and Dermottet al. (1988), Malhotra and Dermott (1990) concerning the tidal evolution through resonances of some pairs of Uranian satellites have revealed interesting dynamical phenomena related to the interactions between close-by resonances. These interactions produce chaotic layers and strong secondary resonances. The slow evolution of the satellite orbits in this dynamical landscape is responsible for temporary capture into resonance, enhancement of eccentricity or inclination and subsequent escape from resonance. The present contribution aims at developing analytical tools for predicting the location and size of chaotic layers and secondary resonances. The problem of the 3:1 inclination resonance between Miranda and Umbriel is analysed.  相似文献   

Non-integrability of the problem of motion around an oblate planet     

Alessandra Celletti  Piero Negrini 《Celestial Mechanics and Dynamical Astronomy》1995,61(3):253-260

We provide a result of non-analytic integrability of the so-called J ₂-problem. Precisely by using the Lerman theorem we are able to prove the existence of a region of the phase space, where the dynamical system exhibits chaotic motions.  相似文献   

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   

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