An investigation of coupled chaotic dynamical systems based on Graph theory and the applications

Sadra, Yaser and Ahadpour Kalkhoran, Sodeif and Manzouri, Davoud (2010) An investigation of coupled chaotic dynamical systems based on Graph theory and the applications. Other thesis, University of Mohaghegh Ardabili.

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Abstract

In this thesis, first we present a brief introduction on dynamical systems. Next, we study Graph Theory. One of the branches of Graph Theory is Complex Network. Using Visibility Graph which is a complex network, we analyze the discrete chaotic and random dynamical systems and their applications in Information Theory and Cryptography. Finally, we propose two Pseudorandom Number Generators and also introduce Binary Visibility Graph, which is a new version of visibility graph.

Item Type: Thesis (Other)
Persian Title: مطالعه سیستمهای دینامیکی آشوبناک کوپل شده برپایه نظریه گراف وکاربردآنها
Persian Abstract: دراين پايان¬نامه، ابتدا يك مقدمه كوتاهي براي سيستمهاي ديناميكي بيان مي¬كنيم. سپس، نظريه گراف را مورد مطالعه قرار مي¬دهيم. يكي از شاخه¬هاي نظريه گراف، شبكه¬هاي پيچيده مي¬باشد. با استفاده از گراف پديداري كه يك شبكه پيچيده مي¬باشد، سيستمهاي ديناميكي گسسته آشوبناك و رندومي و كاربردهاي آنها در نظريه اطلاعات و رمزنگاري را مورد تجزيه و تحليل قرار مي¬دهيم. درپايان، دو مولد اعداد شبه رندومي را پيشنهاد مي¬كنيم و همچنين گراف پديداري دودويي(BVG) كه مدل جديدي از گراف پديداري است را معرفي مي¬كنيم.
Supervisor:
SupervisorE-mail
Ahadpour Kalkhoran, SodeifUNSPECIFIED
Advisor:
AdvisorE-mail
Manzouri, DavoudUNSPECIFIED
Subjects: Faculty of Basic Sciences > Department of Physics
Divisions > Faculty of Basic Sciences > Department of Physics
Divisions: Subjects > Faculty of Basic Sciences > Department of Physics
Faculty of Basic Sciences > Department of Physics
Date Deposited: 13 Jul 2019 08:24
Last Modified: 13 Jul 2019 08:24
URI: http://repository.uma.ac.ir/id/eprint/7826

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