994 research outputs found
The flow of two falling balls mixes rapidly
In this paper we study the system of two falling balls in continuous time. We
modell the system by a suspension flow over a two dimensional, hyperbolic base
map. By detailed analysis of the geometry of the system we identify special
periodic points and show that the ratio of certain periods in continuous time
is Diophantine for almost every value of the mass parameter in an interval.
Using results of Melbourne (\cite{M}) and our previous achievements \cite{BBNV}
we conclude that for these values of the parameter the flow mixes faster than
any polynomial. Even though the calculations are presented for the specific
physical system, the method is quite general and can be applied to other
suspension flows, too
A novel method of generating tunable underlying network topologies for social simulation
We propose a method of generating different scale-free networks, which has
several input parameters in order to adjust the structure, so that they can
serve as a basis for computer simulation of real-world phenomena. The
topological structure of these networks was studied to determine what kind of
networks can be produced and how can we give the appropriate values of
parameters to get a desired structure.Comment: Originally presented at the 2013 IEEE 4th International Conference on
Cognitive Infocommunications (CogInfoCom
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