Mapping and dynamical systems

This paper reviews various mapping techniques used in dynamical astronomy. It is mostly dealing with symplectic mappings. It is shown that used mappings can be usually interpreted as symplectic integrators. It is not necessary to introduce any functions it is just sufficient to split Hamiltonian into integrable parts. Actually it may be shown that exact mapping with function in the Hamiltonian may be non-symplectic. The application to the study of asteroid belt is emphasised but the possible use of mapping in planetary evolution studies, cometary and other problems is shortly discussed.     

Regional development and the disintegration of Czechoslovakia

The breakup of Czechoslovakia on 31 December 1992 resulted in the emergence of a newly independent Slovakia and Czech Republic. The split is often interpreted as the result of ethnic nationalism. In contrast, this paper attempts to assess the influence of regional inequalities and uneven economic development on the split. Pre-World War Two Czechoslovakia was unable to address large regional differences between the Czech lands and Slovakia. The economic policies pursued by the state socialist governments following 1948 were directed toward the elimination of these differences through rapid industrialization of Slovakia. The economic transformation in Czechoslovakia after the collapse of state socialism resulted in reemergence of uneven development between Slovakia and the Czech lands, which contributed to the disintegration of the country. The links between economic issues and politics are discussed, and the paper shows how the regional inequalities and economic issues were used to justify the necessity of Slovak and Czech independence.     

Detection of a 50-day oscillation in the Wolf number

Резюме Вaрuaцuu с nерuо?rt;ом около 50 ?rt;неŭ (коmорые ?rt;aвно обнaружены в uзмененuях nро?rt;олжumельносmu суmок u во мно uх меmеороло uческuх велuчuнaх, особенно в моменmе колuчесmвa ?rt;вuженuя amмосферы) былu рaскрыmы в солнечноŭ aкmuвносmu, оnuсaнноŭ чuслом Вольфa.      

Spherical tensor approach to the solution of the mantle stress problem

Summary The technique of spherical tensors is applied to the problem of stress in the mantle. An efficient method for stress computation is developed for the Newtonian mantle with spherical boundaries assuming that the density and gravitational potential in the form of harmonic expansions are known. The ways of including more complicated rheological models as well as the non-spherical shape of boundaries are outlined.

---

¶rt; m¶rt; ama anu amuu, m a a nuuu annaama uuauu m. ¶rt;naam, m au nmmu uaumau nmuaa n uu u um u m amu n¶rt;mam u¶rt;m uuuauau. ¶rt; mu u m¶rt;a a a uu ¶rt; u u au.

     

Linear models in vertical ionosperic sounding

Summary The paper deals with selecting optimum models for computing the vertical distribution of the electron concentration of ionospheric plasma. It is demonstrated that, with a view to the proposed average criterion, a model can be found, which utilizes the information contained in observed values to a better advantage than previous models.     

Modification of the Runcorn's equations on convection flows

Summary Runcorn's equations, which can be used to compute the stresses caused by convection flows from the outer gravity field, were transformed so that gravity anomalies or geoid heights can be employed as input data.

---

au aa, m n¶rt;m u n u mmu u anu, a uu nmau, u maua ma, m unam u¶rt; ¶rt; ¶rt;a, aauu u mmu uu mu¶rt;a.

     

The second most disastrous windstorm of the nineteenth century in the Czech Lands, 26-27 October 1870

Theoretical and Applied Climatology - One of the most disastrous windstorms to take place over the Czech Lands occurred on the night of 26/27 October 1870. It is here analysed through the use of...     

Geochemical history of a Lower Miocene lake,the Cypris Formation,Sokolov Basin,Czech Republic

The intracontinental Lower Miocene Cypris paleo-lake originated during progressive subsidence in the Sokolov Basin, part of the Cenozoic Oh?e Rift, after the deposition of coal seams. The Cypris Fm. consists almost entirely of lacustrine clays with variable mineral composition and organic matter, where this succession is 70–120 m thick. The main objective of this study was to interpret the geochemical history of the Lower Miocene Cypris Fm. using high-resolution, down-core geochemical records and study of the organic matter. This work revealed that the lower part of the lacustrine sediment sequence was deposited in a freshwater lake, in an open hydrological system. An increase in the K/Zr and K/Ti ratios towards the upper part of the Cypris Fm. indicates a gradual increase in the pelitic fraction of the local sediments and/or a decline in input of volcanic material. Simultaneously, increasing Ca/K and Sr/K ratios indicate the precipitation of carbonates, predominantly dolomite and siderite. In the upper part of the Cypris Fm., there is a significant increase in Na/K, Na/Zr, and Na/Ti ratios, suggesting increasing salinity (alkalinity) of the paleoenvironment in a closed hydrological system. Reaction between the Na-rich water and clastic components of the sediment in an alkaline medium gave rise to the formation of zeolites, mixed-layer clay minerals and smectite. Abundant remains of aquatic organisms, especially algae, increased with greater salinity in the upper part of the Cypris Fm. This is reflected in the greater hydrogen index (HI_{Rock Eval}), and the growing proportion of liptinite group macerals of aquatic origin in the bulk organic matter. During the entire history of sedimentation in the Miocene lake, repetitive changes in the sediment geochemistry occurred at both micro- and macroscales, and fluctuations of K/Ti, K/Zr, and Sr/Ca ratios over meters to tens of meters are observed. These changes probably reflect either long-term climate fluctuations during the Lower Miocene or oscillations caused by changes in the rate of subsidence of the basin floor. Variations in the elemental composition of sediments can be used to correlate individual boreholes across the entire sedimentary basin.