0
Your cart

Your cart is empty

Browse All Departments
  • All Departments
Price
  • R2,500 - R5,000 (3)
  • -
Status
Brand

Showing 1 - 3 of 3 matches in All Departments

Cellular Automata: Analysis and Applications (Hardcover, 1st ed. 2017): Karl-Peter Hadeler, Johannes Muller Cellular Automata: Analysis and Applications (Hardcover, 1st ed. 2017)
Karl-Peter Hadeler, Johannes Muller
R3,814 R2,550 Discovery Miles 25 500 Save R1,264 (33%) Ships in 12 - 19 working days

This book provides an overview of the main approaches used to analyze the dynamics of cellular automata. Cellular automata are an indispensable tool in mathematical modeling. In contrast to classical modeling approaches like partial differential equations, cellular automata are relatively easy to simulate but difficult to analyze. In this book we present a review of approaches and theories that allow the reader to understand the behavior of cellular automata beyond simulations. The first part consists of an introduction to cellular automata on Cayley graphs, and their characterization via the fundamental Cutis-Hedlund-Lyndon theorems in the context of various topological concepts (Cantor, Besicovitch and Weyl topology). The second part focuses on classification results: What classification follows from topological concepts (Hurley classification), Lyapunov stability (Gilman classification), and the theory of formal languages and grammars (Kurka classification)? These classifications suggest that cellular automata be clustered, similar to the classification of partial differential equations into hyperbolic, parabolic and elliptic equations. This part of the book culminates in the question of whether the properties of cellular automata are decidable. Surjectivity and injectivity are examined, and the seminal Garden of Eden theorems are discussed. In turn, the third part focuses on the analysis of cellular automata that inherit distinct properties, often based on mathematical modeling of biological, physical or chemical systems. Linearity is a concept that allows us to define self-similar limit sets. Models for particle motion show how to bridge the gap between cellular automata and partial differential equations (HPP model and ultradiscrete limit). Pattern formation is related to linear cellular automata, to the Bar-Yam model for the Turing pattern, and Greenberg-Hastings automata for excitable media. In addition, models for sand piles, the dynamics of infectious d

Topics in Mathematical Biology (Paperback, 1st ed. 2017): Karl-Peter Hadeler Topics in Mathematical Biology (Paperback, 1st ed. 2017)
Karl-Peter Hadeler; Contributions by Michael C. Mackey, Angela Stevens
R3,670 Discovery Miles 36 700 Ships in 10 - 15 working days

This book analyzes the impact of quiescent phases on biological models. Quiescence arises, for example, when moving individuals stop moving, hunting predators take a rest, infected individuals are isolated, or cells enter the quiescent compartment of the cell cycle. In the first chapter of Topics in Mathematical Biology general principles about coupled and quiescent systems are derived, including results on shrinking periodic orbits and stabilization of oscillations via quiescence. In subsequent chapters classical biological models are presented in detail and challenged by the introduction of quiescence. These models include delay equations, demographic models, age structured models, Lotka-Volterra systems, replicator systems, genetic models, game theory, Nash equilibria, evolutionary stable strategies, ecological models, epidemiological models, random walks and reaction-diffusion models. In each case we find new and interesting results such as stability of fixed points and/or periodic orbits, excitability of steady states, epidemic outbreaks, survival of the fittest, and speeds of invading fronts. The textbook is intended for graduate students and researchers in mathematical biology who have a solid background in linear algebra, differential equations and dynamical systems. Readers can find gems of unexpected beauty within these pages, and those who knew K.P. (as he was often called) well will likely feel his presence and hear him speaking to them as they read.

Cellular Automata: Analysis and Applications (Paperback, Softcover reprint of the original 1st ed. 2017): Karl-Peter Hadeler,... Cellular Automata: Analysis and Applications (Paperback, Softcover reprint of the original 1st ed. 2017)
Karl-Peter Hadeler, Johannes Muller
R3,665 Discovery Miles 36 650 Ships in 10 - 15 working days

This book provides an overview of the main approaches used to analyze the dynamics of cellular automata. Cellular automata are an indispensable tool in mathematical modeling. In contrast to classical modeling approaches like partial differential equations, cellular automata are relatively easy to simulate but difficult to analyze. In this book we present a review of approaches and theories that allow the reader to understand the behavior of cellular automata beyond simulations. The first part consists of an introduction to cellular automata on Cayley graphs, and their characterization via the fundamental Cutis-Hedlund-Lyndon theorems in the context of various topological concepts (Cantor, Besicovitch and Weyl topology). The second part focuses on classification results: What classification follows from topological concepts (Hurley classification), Lyapunov stability (Gilman classification), and the theory of formal languages and grammars (Kurka classification)? These classifications suggest that cellular automata be clustered, similar to the classification of partial differential equations into hyperbolic, parabolic and elliptic equations. This part of the book culminates in the question of whether the properties of cellular automata are decidable. Surjectivity and injectivity are examined, and the seminal Garden of Eden theorems are discussed. In turn, the third part focuses on the analysis of cellular automata that inherit distinct properties, often based on mathematical modeling of biological, physical or chemical systems. Linearity is a concept that allows us to define self-similar limit sets. Models for particle motion show how to bridge the gap between cellular automata and partial differential equations (HPP model and ultradiscrete limit). Pattern formation is related to linear cellular automata, to the Bar-Yam model for the Turing pattern, and Greenberg-Hastings automata for excitable media. In addition, models for sand piles, the dynamics of infectious d

Free Delivery
Pinterest Twitter Facebook Google+
You may like...
Vusi - Business & Life Lessons From a…
Vusi Thembekwayo Paperback  (3)
R325 R305 Discovery Miles 3 050
Bear's Big Day Sticker Book
Stella Blackstone Paperback R294 Discovery Miles 2 940
Thabo The Space Dude - Logbook 3…
Lori-Ann Preston Paperback R190 R178 Discovery Miles 1 780
Bilingual Education and Minority…
Lubei Zhang, Linda Tsung Hardcover R1,521 Discovery Miles 15 210
Fearless - The Powerless Trilogy: Book 3
Lauren Roberts Hardcover R500 R399 Discovery Miles 3 990
Preschool Bilingual Education - Agency…
Mila Schwartz Hardcover R5,326 Discovery Miles 53 260
My Magical Owl
Campbell Books Board book R170 Discovery Miles 1 700
Toyota Camry 2007 Thru 2017 - Includes…
Editors Of Haynes Manuals Paperback R1,205 R800 Discovery Miles 8 000
Kringloop
Bets Smith Paperback R270 R253 Discovery Miles 2 530
Driveway Detailing Warrior - DIY…
S L Lucas Hardcover R1,086 Discovery Miles 10 860

 

Partners