A note concerning the 2:1 and the 3:2 resonances in the asteroid belt

The dynamical behavior of asteroids inside the 2:1 and 3:2 commensurabilities with Jupiter presents a challenge. Indeed most of the studies, either analytical or numerical, point out that the two resonances have a very similar dynamical behavior. In spite of that, the 3:2 resonance, a little outside the main belt, hosts a family of asteroids, called the Hildas, while the 2:1, inside the main belt, is associated to a gap (the Hecuba gap) in the distribution of asteroids.In his search for a dynamical explanation for the Hecuba gap, Wisdom (1987) pointed out the existence of orbits starting with low eccentricity and inclination inside the 2:1 commensurability and going to high eccentricity, and thus to possible encounters with Mars. It has been shown later (Henrard et al.), that these orbits were following a path from the low eccentric belt of secondary resonances to the high eccentric domain of secular resonances. This path crosses a bridge, at moderate inclination and large amplitude of libration, between the two chaotic domains associated with these resonances.The 3:2 resonance being similar in many respects to the 2:1 resonance, one may wonder whether it contains also such a path. Indeed we have found that it exists and is very similar to the 2:1 one. This is the object of the present paper.     

Frequency analysis of a dynamical system

Frequency analysis is a new method for analyzing the stability of orbits in a conservative dynamical system. It was first devised in order to study the stability of the solar system (Laskar, Icarus, 88, 1990). It is a powerful method for analyzing weakly chaotic motion in hamiltonian systems or symplectic maps. For regular motions, it yields an analytical representation of the solutions. In cases of 2 degrees of freedom system with monotonous torsion, precise numerical criterions for the destruction of KAM tori can be found. For a 4D symplectic map, plotting the frequency map in the frequency plane provides a clear representation of the global dynamics and describes the actual Arnold web of the system.     

闽中渔场的温、盐跃层分布与亚硝酸盐的层化现象

本文根据1982—1983年闽中渔场鱼类资源调查的资料,分析了本海区温、盐度跃层的强度及分布特征.结果表明:闽江口断面和平潭断面存在较强的跃层.温跃层一般出现在夏季.温跃层的强度可高达0.50℃/m,出现在牛山岛附近(水深10—20m).盐跃层一般出现在春季.盐跃层的强度可高达1.03/m,出现在闽江口白犬岛附近(水深0—10m).5月份处于丰水期,流量较大的闽江水排入海洋。由于其盐度低、比重小而浮于海水的上层,形成盐跃层现象.盐跃层最常出现的海区是在牛山岛附近.文中还探讨了闽中渔场的亚硝酸盐层化现象.3—8月,亚硝酸盐含量在水深0—20m层均较低,20m至底层含量则大幅度升高,亦出现明显的分层现象.     

Generalized Lyapunov exponents indicators in Hamiltonian dynamics: An application to a double star system

The Lyapunov characteristic numbers (LCNs) which are defined as the mean value of the distribution of the local variations of the tangent vectors to the flow (=ln _k ⁱ ) (see Froeschlé, 1984) have been found to be sensitive indicators of stochasticity. So we computed the distribution of these local variations and determined the moments of higher order for the integrable and stochastic regions in a binary star system with =0.5.     

Asteroid motion near the 3 : 1 resonance

A mapping model is constructed to describe asteroid motion near the 3 : 1 mean motion resonance with Jupiter, in the plane. The topology of the phase space of this mapping coincides with that of the real system, which is considered to be the elliptic restricted three body problem with the Sun and Jupiter as primaries. This model is valid for all values of the eccentricity. This is achieved by the introduction of a correcting term to the averaged Hamiltonian which is valid for small values of the ecentricity.We start with a two dimensional mapping which represents the circular restricted three body problem. This provides the basic framework for the complete model, but cannot explain the generation of a gap in the distribution of the asteroids at this resonance. The next approximation is a four dimensional mapping, corresponding to the elliptic restricted problem. It is found that chaotic regions exist near the 3 : 1 resonance, due to the interaction between the two degrees of freedom, for initial conditions close to a critical curve of the circular model. As a consequence of the chaotic motion, the eccentricity of the asteroid jumps to high values and close encounters with Mars and even Earth may occur, thus generating a gap. It is found that the generation of chaos depends also on the phase (i.e. the angles andv) and as a consequence, there exist islands of ordered motion inside the sea of chaotic motion near the 3 : 1 resonance. Thus, the model of the elliptic restricted three body problem cannot explain completely the generation of a gap, although the density in the distribution of the asteroids will be much less than far from the resonance. Finally, we take into account the effect of the gravitational attraction of Saturn on Jupiter's orbit, and in particular the variation of the eccentricity and the argument of perihelion. This generates a mixing of the phases and as a consequence the whole phase space near the 3 : 1 resonance becomes chaotic. This chaotic zone is in good agreement with the observations.     

昆仑山口西8.1级地震在四川地区的前兆异常效应

对昆仑口西8.1级地震发生前后四川地区地震前兆监测台网的测值曲线进行了系统的清理，发现存在有明显的孕震效应和震时效应，异常效应的幅度很大，容易鉴别，这对人类认识特大地震的影响场很有意义。     

Interpretation of charging on fracture or frictional slip surface of rocks

Fracturing and frictional sliding of quartz and granite under dry condition generates fractoluminescence, charged particle emission and electromagnetic radiation. Various kinds of experiments indicate that surface charge density on fracture or frictional slip surface of quartz and granite is 10⁻⁴ to 10⁻² C/m² which is larger than bound charges induced by the disappearance of piezoelectricity due to the release of stress. Hole and electron trapping centers, which is found in semiconductor devices with the Si–SiO₂ system, are causes of surface charging on fracture or frictional slip surface of quartz crystal. The quantity of the surface charge is enough to cause corona discharge that can generate earthquake lights. The mechanism considering the hole and electron trapping centers has a probability to explain why non-piezoelectric minerals or rocks generate electromagnetic phenomena. It can be one of origins of seismo-electromagnetic phenomena (SEP).     

2002年四川凉山州地区大规模宏观异常及其分析

2002年5月下旬，四川省凉山州地区中小地震活动明显增强，同时5月底开始出现宏观异常，显现出发生较大地震的危险性。为此有关部门组织了震情短临跟踪，笔者参加了相关的现场工作，亲身感受到大规模“异常”的出现与发展，然而预测中的地震并没有发生。本文较为系统地介绍了异常现象，分析了异常特征，讨论了异常意义。     

关于在地震预报中遇到的几个问题的探讨

地震台站工作人员 ,在进行观测资料分析、地震预报研究过程中 ,往往会遇到的几个问题 :1、手段单一 ,对于前兆现象无法全面表述。 2、如何识别异常与地震之间的关系。 3、如何兼顾点和面的关系。     

基于混沌吸引子的复杂农业系统预测模型研究

农业生产是自然再生产和经济再生产有机结合的过程，农业系统是高度耦合了自然生态、社会经济系统等的复杂大系统，具有非线性和耗散性特征。复杂农业系统要素非线性作用所表现的系统行为形成农业系统的整个演化轨迹。从长期演化来看，由于系统内部自组织作用、系统协同和外部随机扰动的作用使得农业系统出现混沌现象，故复杂系统具有长期不可预测性。本文根据复杂农业系统的预测规范，重构复杂农业系统相空间，建立了基于“混沌吸引子”的非线性混沌动力学预测模型，并以成都的相关数据进行分析验证。