On Scrambled Sets for Chaotic Functions

study of hash functions based on chaotic maps

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...

TIME-VARYING FUZZY SETS BASED ON A GAUSSIAN MEMBERSHIP FUNCTIONS FOR DEVELOPING FUZZY CONTROLLER

The paper presents a novel type of fuzzy sets, called time-Varying Fuzzy Sets (VFS). These fuzzy sets are based on the Gaussian membership functions, they are depended on the error and they are characterized by the displacement of the kernels to both right and left side of the universe of discourse, the two extremes kernels of the universe are fixed for all time. In this work we focus only on t...

On Pre-θ-Open Sets and Two Classes of Functions

Scrambled Sets of Continuous Maps of 1-dimensional Polyhedra

Let K be a 1-dimensional simplicial complex in R3 without isolated vertexes, X = |K| be the polyhedron of K with the metric dK induced by K, and f : X → X be a continuous map. In this paper we prove that if K is finite, then the interior of every scrambled set of f in X is empty. We also show that if K is an infinite complex, then there exist continuous maps from X to itself having scrambled se...

Solenoid functions for hyperbolic sets on surfaces

We describe a construction of a moduli space of solenoid functions for the C -conjugacy classes of hyperbolic dynamical systems f on surfaces with hyperbolic basic sets f . We explain that if the holonomies are sufficiently smooth then the diffeomorphism f is rigid in the sense that it is C 1C conjugate to a hyperbolic affine model. We present a moduli space of measure solenoid functions for al...