منابع مشابه
Rotation Numbers for Measure-valued Circle Maps
We consider strong and weak topologies on the space of orbits from the unit interval to the set of probability measures on a given domain. In particular, we are interested in periodic orbits of probability measures on the circle. We show that a real-valued rotation number can be defined in a natural way for all smooth enough orbits whose range is composed of probability measures supported on th...
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For a continuous circle map T, deene the barycentre of any T-invariant probability measure to be b() = R S 1 z dd(z). The set of all such barycentres is a compact convex subset of C. If T is conjugate to a rational rotation via a MM obius map, we prove is a disc. For every piecewise-onto expanding map we prove that the barycentre set has non-empty interior. In this case, each interior point is ...
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توابع درهم نقش بسیار مهم در سیستم های رمزنگاری و پروتکل های امنیتی دارند. در سیستم های رمزنگاری برای دستیابی به احراز درستی و اصالت داده دو روش مورد استفاده قرار می گیرند که عبارتند از توابع رمزنگاری کلیددار و توابع درهم ساز. توابع درهم ساز، توابعی هستند که هر متن با طول دلخواه را به دنباله ای با طول ثابت تبدیل می کنند. از جمله پرکاربردترین و معروف ترین توابع درهم می توان توابع درهم ساز md4, md...
Universal bound on the measure of periodic windows of parameterized circle-maps
One-parameter families ft of circle diffeomorphisms are a common occurrence in dynamical systems. One subject of investigation is the variation of the rotation number with the parameter and how the parameter-range splits into periodic windows and a Cantor set of irrational rotation numbers. One of the earliest topics of investigation is how the measure of this Cantor set depends on the family, ...
متن کاملThe Last Invariant Circle
Here x is a periodic configuration variable (usually computed modulo 1), y ∈R is the momentum variable, and the parameter k represents the strength of a nonlinear kick. This map was first proposed in 1968 by Bryan Taylor and then independently obtained by Boris Chirikov to describe the dynamics of magnetic field lines. The standard map and Hénon’s area-preserving quadratic map are extensively s...
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ژورنال
عنوان ژورنال: Journal of Physics: Conference Series
سال: 2013
ISSN: 1742-6588,1742-6596
DOI: 10.1088/1742-6596/435/1/012011