Integral Value Transformations: A Class of Affine Discrete Dynamical Systems and an Application
نویسندگان
چکیده
In this paper, the notion Affine Discrete Dynamical Systems (ADDS) in terms of Integral Value Transformations (IVTs), is introduced and their mathematical properties, particularly their equilibrium and stability as a dynamical system, are studied. It is shown that some ADDS are Collatz-like, which generate fractals. It is also shown that ADDS can model Optimal Distributed and Parallel Environment (ODPE).
منابع مشابه
Integral Value Transformations: A Class of Discrete Dynamical Systems
2 P. G. Department of Mathematics, Bhubaneswar 751004, India Emails: [email protected], [email protected], [email protected] and [email protected] Abstract Integral Value Transformations (IVTs) is a class of continuous maps in a discrete space { } In this paper, these IVTs are considered to be Discrete Dynamical System maps in the space .The dynamical behaviour of the one dime...
متن کاملOne Dimensional p-adic Integral Value Transformations
In this paper, a set of transformations is defined on to. Some basic and naïve mathematical structure of is introduced. The concept of discrete dynamical systems through IVT and some further research scope of IVTs are highlighted. and 4]. A class of discrete transformations on named as Integral Value Transformations (IVT), corresponding to each of those CA rules, is introduced in the formation ...
متن کاملSolving Second Kind Volterra-Fredholm Integral Equations by Using Triangular Functions (TF) and Dynamical Systems
The method of triangular functions (TF) could be a generalization form of the functions of block-pulse (Bp). The solution of second kind integral equations by using the concept of TF would lead to a nonlinear equations system. In this article, the obtained nonlinear system has been solved as a dynamical system. The solution of the obtained nonlinear system by the dynamical system throug...
متن کاملar X iv : m at h / 98 04 13 2 v 1 [ m at h . Q A ] 2 8 A pr 1 99 8 AFFINE WEYL GROUPS , DISCRETE DYNAMICAL SYSTEMS AND PAINLEVÉ EQUATIONS
A new class of representations of affine Weyl groups on rational functions are constructed, in order to formulate discrete dynamical systems associated with affine root systems. As an application, some examples of difference and differential systems of Painlevé type are discussed.
متن کاملApplication of Dynamical Systems in Cancer Therapy
In this paper, we have proposed and analyzed a mathematical model for the study of interaction between tumor cells and oncolytic viruses. The model is analyzed using stability theory of differential equations.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- CoRR
دوره abs/1110.0724 شماره
صفحات -
تاریخ انتشار 2011