An explicit formula for the action variables of the Kovalevskaya top as certain abelian integrals of third kind on the Kovalevskaya curve is found. The linear system of diierential equations of Picard-Fuchs type describing the dependence of these variables on the integrals of the Kovalevskaya system is presented in the explicit form. The results are based… (More)
The phenomenon of the wandering point on a blank sheet of paper in serial reproductions is the starting point of an investigation of the perceptual field structure of homogeneous stimulus areas; 609 stimulus points distributed regularly in 21 rows and 29 columns on a DIN A4 sheet were presented successively to 10 subjects and had to be reproduced… (More)
OVERVIEW The paper gives the mathematical concept as well as an algorithm that efficiently tackles the optimal path problem considering turn restrictions. The internal graph representation remains unchanged apart from the necessary assignment of turn restriction. The algorithm develops Reverse Optimal Path Graphs (ROPGs) that are not necessarily cycles-free… (More)
OVERVIEW Today's optimal path strategies are the more competitive the lower memory space and performance time they need. That is why the concept of hierarchical maps has been introduced to delegate the main part of long distance path determination to maps with levels as high as possible (larger regions ⇔ roads of higher levels). The size of the… (More)
The oscillations observed in glycolysis are analyzed from the point of view of efficiency of free energy conversion. It is suggested that the mechanisms generating these oscillations may have evolved in order to reduce the dissipation of free energy.
1 Introduction Traffic flow planners have to consider that the optimization for minimum length (ore time) traffic flow layouts is not only a matter of shortest or fastest paths (cost criterion here called " routing cost " = " travel expense "): The traffic density of all the flows themselves traversing a road constitutes the important cost criterion " road… (More)
I must say that in 1980, whenever I told my friends that I was just starting with J. H. Hubbard a study of polynomials of degree 2 in one complex variable (and more specifically those of the form they would all stare at me and ask: Do you expect to find anything new? It is, however, this simple family of polynomials which is responsible for producing these… (More)