On particle trajectories in restricted 3-body problem including the effect of radiation: Sun-Jupiter system     

M. K. Das  Pankaj Narang  M. Yuasa  L. M. Saha 《Astrophysics and Space Science》2008,314(1-3):59-71

In this work, we have simulated orbits of a particle moving in gravitational field of the Sun-Jupiter system. The effect of solar radiation pressure, including Poynting Robertson drag, on the evolution of particle orbits in phase space have been studied for different values of the parameter β ₁ (the ratio of radiation to gravitational force) and initial conditions. Characteristics of various computed trajectories have been studied using wavelet transform (WT), Fourier transform (FT) and Poincare surface of section method. We use wavelet analysis to identify transitions of a trajectory in time-frequency plane and further apply it to classify it as regular or chaotic in phase space. Unlike the Fourier transform method (FT), we observe that the wavelet transform (WT) also provides a basis to identify ‘sticky’ trajectories in the present dynamical system.  相似文献   

Relationship between social stability and climate change in the Tang Dynasty     

Wang Xiao-Qing  Zhang David D  Pei Qing  Zhang Sheng-Da  Li Teng 《古地理学报》1999,22(2):385-396

This paper quantitatively divides the Tang Dynasty into five prosperous and chaotic social periods,and discusses the relationship between the social division and climate change. The criteria for determining prosperity and chaos is refered to a set of systematic war data. In order to verify the reasonableness of the division,we applied 1-way-ANOVA to test the differences of each variable index between prosperity and chaos periods. The results of social division are as follows: from AD 618 to AD 626,and from AD 743 to AD 784,as well as from AD 860 to AD 907 were the chaotic periods;while from AD 627 to A0 742,and from AD 785 to AD 859 were the prosperous periods. The results of 1-way-ANOVA show that,climate change,general wars,rebellions,offensive border wars,defensive border wars,agricultural harvests,and population growth rates are all significantly different between prosperity and chaos,except the general external wars. War data were used to quantitatively represent the social changes in the Tang Dynasty. In chaotic periods,the main types of wars are rebellions and defensive border wars,while the main type of wars in prosperous periods are offensive border wars. To explore the relationship between climate change and social division means to make clear the relationship between climate change and wars. The results of correlation analysis show the decrease of agricultural harvest due to lower temperature and less precipitation leads to the shortage of resources supply,so that the likelihood of rebellions increase;while during the warm periods with abundant rainfall,increasing agricultural harvest stimulates rapid population growth. Due to the limitations of technology and land resources,offensive border wars for expansion are more likely to occur.  相似文献   

A Symplectic Mapping Model as a Tool to Understand the Dynamics of 2/1 Resonant Asteroid Motion     

John D. Hadjidemetriou 《Celestial Mechanics and Dynamical Astronomy》1999,73(1-4):65-76

We present a 3-D symplectic mapping model that is valid at the 2:1 mean motion resonance in the asteroid motion, in the Sun-Jupiter-asteroid model. This model is used to study the dynamics inside this resonance and several features of the system have been made clear. The introduction of the third dimension, through the inclination of the asteroid orbit, plays an important role in the evolution of the asteroid and the appearance of chaotic motion. Also, the existence of the secondary resonances is clearly shown and their role in the appearance of chaotic motion and the slow diffusion of the elements of the orbit is demonstrated. This revised version was published online in July 2006 with corrections to the Cover Date.  相似文献   

甜水海钻孔TS95若干地球化学指标的非线性分析与意义   总被引：1，自引：0，他引：1  

周厚云  朱照宇  李世杰  李炳元  向明菊  余素华 《湖泊科学》2001,13(2):97-102

应用关联维分析和R／S分析对西昆伦甜水海孔TS95的4项指标（FeO,Fe2O3,Fe2O3/FeO和有机碳）进行分析,发现它们存在明显的混沌特征和Hurst现象,4项指标的混沌吸引子分别为：FeO－2．8;Fe2O3－3．2;Fe2O／FeO－2．9;有机碳2．5,饱和嵌入维数为5到6,表明控制该地区气候环境演化的动力系统是由有限维数确定的混沌系统,构筑该系统所需变量至少3到4个,最多5到6个,这种体上与深海氧同位素比较接近,与黄土剖面一些指标差异较大,4项指标折Hurst指数（FeO－0．85;Fe2O3－0．76;Fe2O3／FeO－0．65;有机碳－0．74）显示该地区气候环境演化存在明显的持续性成分,这与早期的研究一致,很可能与青藏高原的构造抬升有关,表明除了全球性气候环境波动背景外,局域性因素,如肝藏高原构造抬升和未海地区水系变迁,都会在各种气候环境演化的替代性指标上有所反映。4项指标Hurst指数的差异可能反映FeO容易迁移,受到了流域水系变化的影响,因而有机碳和Fe2O3可能是反映这种环境演化持续性分更好的指标。  相似文献   

分数阶混沌系统与整数阶混沌系统之间的同步   总被引：1，自引：0，他引：1  

周平  邝菲 《海洋学报》2010,32(10):6851-6858

基于追踪控制的思想,利用分数阶系统稳定性理论,实现了分数阶混沌系统与整数阶混沌系统之间的混沌同步,给出了补偿器和反馈控制器的选择方法. 以三维分数阶Chen系统和三维整数阶Lorenz混沌系统之间的混沌同步为例进行了数值仿真和电路仿真. 研究表明了该同步方法的有效性.  相似文献   

Theoretical and experimental study of Chen chaotic system with notch filter feedback control     

张晓明  陈菊芳  彭建华 《海洋学报(英文版)》2010,29(9)

Since the past two decades, the time delay feedback control method has attracted more and more attention in chaos control studies because of its simplicity and efficiency compared with other chaos control schemes. Recently, it has been proposed to suppress low-dimensional chaos with the notch filter feedback control method, which can be implemented in a laser system. In this work, we have analytically determined the controllable conditions for notch filter feedback controlling of Chen chaotic system in terms of the Hopf bifurcation theory. The conditions for notch filter feedback controlled Chen chaoitc system having a stable limit cycle solution are given. Meanwhile, we also analysed the Hopf bifurcation direction, which is very important for parameter settings in notch filter feedback control applications. Finally, we apply the notch filter feedback control methods to the electronic circuit experiments and numerical simulations based on the theoretical analysis. The controlling results of notch filter feedback control method well prove the feasibility and reliability of the theoretical analysis.  相似文献   

Nonlinear feedback synchronisation control between fractional-order and integer-order chaotic systems     

贾立新  戴浩  惠萌 《海洋学报(英文版)》2010,29(11)

This paper focuses on the synchronisation between fractional-order and integer-order chaotic systems. Based on Lyapunov stability theory and numerical differentiation, a nonlinear feedback controller is obtained to achieve the synchronisation between fractional-order and integer-order chaotic systems. Numerical simulation results are presented to illustrate the effectiveness of this method.  相似文献   

成矿作用的混沌动力学性态     

麻土华  朱兴盛  李长江 《浙江国土资源》1998,(1)

本文研究了地壳中元素迁移聚集和成矿过程的非线性动力学模型,该模型的迭代关系式与逻辑斯蒂（Logistic）方程一致。这表明,与元素迁移聚集有关的成矿作用是混沌的,并由此导致了地壳中元素含量、矿床储量及其空间分布具分形结构。  相似文献   

Chaos Dynamic Behaviour of Mineralization     

MA Tuhu  ZHU Xingsheng  LI Changjiang Institute of Geology  Mineral Resources of Zhejiang Province  Tiyuchang Ro  Hangzhou 《《地质学报》英文版》1998,72(4):392-398

In this paper a nonlinear dynamic model for the distribution of element content and mineralization in the crust is suggested and the iteration relationship formula of this model coincides with the logistic equation. This shows that mineralization related with migration and enrichment of elements is in chaos, thus resulting in fractal structures of element content and ore reserves and their spatial distribution in the crust.  相似文献   

混沌分析在水文预测中的应用和展望   总被引：21，自引：4，他引：17       下载免费PDF全文

赵永龙  丁晶 《水科学进展》1998,9(2):181-186

简述了将混沌理论应用于水文预测中需要解决的三个关键问题:(1)水文系统重建相空间技术;(2)水文系统混沌性识别;(3)水文混沌预测方法。分析了现有的研究成果和最新进展,并指出今后需要开展的工作及存在的问题。  相似文献