Share

Discreteness and Continuity in Problems of Chaotic Dynamics

1997-01-01 Mathematics
Download Discreteness and Continuity in Problems of Chaotic Dynamics PDF Online Free

Author :
Release : 1997-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 751/5 ( reviews)

GET EBOOK


Book Synopsis Discreteness and Continuity in Problems of Chaotic Dynamics by : Michael L. Blank

Download or read book Discreteness and Continuity in Problems of Chaotic Dynamics written by Michael L. Blank. This book was released on 1997-01-01. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the study of ergodic properties of so-called chaotic dynamical systems. One of the central topics is the interplay between deterministic and quasi-stochastic behaviour in chaotic dynamics and between properties of continuous dynamical systems and those of their discrete approximations. Using simple examples, the author describes the main phenomena known in chaotic dynamical systems, studying topics such as the operator approach in chaotic dynamics, stochastic stability, and the so-called coupled systems. The last two chapters are devoted to problems of numerical modeling of chaotic dynamics.

Discreteness and Continuity in Problems of Chaotic Dynamics

1997 Chaotic behavior in systems
Download Discreteness and Continuity in Problems of Chaotic Dynamics PDF Online Free

Author :
Release : 1997
Genre : Chaotic behavior in systems
Kind : eBook
Book Rating : 768/5 ( reviews)

GET EBOOK


Book Synopsis Discreteness and Continuity in Problems of Chaotic Dynamics by : Michael L. Blank

Download or read book Discreteness and Continuity in Problems of Chaotic Dynamics written by Michael L. Blank. This book was released on 1997. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the study of ergodic properties of so-called chaotic dynamical systems. One of the central topics is the interplay between deterministic and quasi-stochastic behavior in chaotic dynamics and between properties of continuous dynamical systems and those of their discrete approximations. Using simple examples, the author describes the main phenomena known in chaotic dynamical systems, studying topics such as the operator approach in chaotic dynamics, stochastic stability, and the so-called coupled systems. The last two chapters are devoted to problems of numerical modelling of.

Frontiers in the Study of Chaotic Dynamical Systems with Open Problems

2011 Science
Download Frontiers in the Study of Chaotic Dynamical Systems with Open Problems PDF Online Free

Author :
Release : 2011
Genre : Science
Kind : eBook
Book Rating : 693/5 ( reviews)

GET EBOOK


Book Synopsis Frontiers in the Study of Chaotic Dynamical Systems with Open Problems by : Elhadj Zeraoulia

Download or read book Frontiers in the Study of Chaotic Dynamical Systems with Open Problems written by Elhadj Zeraoulia. This book was released on 2011. Available in PDF, EPUB and Kindle. Book excerpt: This collection of review articles is devoted to new developments in the study of chaotic dynamical systems with some open problems and challenges. The papers, written by many of the leading experts in the field, cover both the experimental and theoretical aspects of the subject. This edited volume presents a variety of fascinating topics of current interest and problems arising in the study of both discrete and continuous time chaotic dynamical systems. Exciting new techniques stemming from the area of nonlinear dynamical systems theory are currently being developed to meet these challenges. Presenting the state-of-the-art of the more advanced studies of chaotic dynamical systems, Frontiers in the Study of Chaotic Dynamical Systems with Open Problems is devoted to setting an agenda for future research in this exciting and challenging field.

Number-Theoretic Algorithms in Cryptography

2007 Language Arts & Disciplines
Download Number-Theoretic Algorithms in Cryptography PDF Online Free

Author :
Release : 2007
Genre : Language Arts & Disciplines
Kind : eBook
Book Rating : 900/5 ( reviews)

GET EBOOK


Book Synopsis Number-Theoretic Algorithms in Cryptography by : Oleg Nikolaevich Vasilenko

Download or read book Number-Theoretic Algorithms in Cryptography written by Oleg Nikolaevich Vasilenko. This book was released on 2007. Available in PDF, EPUB and Kindle. Book excerpt: Algorithmic number theory is a rapidly developing branch of number theory, which, in addition to its mathematical importance, has substantial applications in computer science and cryptography. Among the algorithms used in cryptography, the following are especially important: algorithms for primality testing; factorization algorithms for integers and for polynomials in one variable; applications of the theory of elliptic curves; algorithms for computation of discrete logarithms; algorithms for solving linear equations over finite fields; and, algorithms for performing arithmetic operations on large integers. The book describes the current state of these and some other algorithms. It also contains extensive bibliography. For this English translation, additional references were prepared and commented on by the author.

Local Properties of Distributions of Stochastic Functionals

1998-02-10 Mathematics
Download Local Properties of Distributions of Stochastic Functionals PDF Online Free

Author :
Release : 1998-02-10
Genre : Mathematics
Kind : eBook
Book Rating : 836/5 ( reviews)

GET EBOOK


Book Synopsis Local Properties of Distributions of Stochastic Functionals by : Yu. A. Davydov, M. A. Lifshits, andN. V. Smorodina

Download or read book Local Properties of Distributions of Stochastic Functionals written by Yu. A. Davydov, M. A. Lifshits, andN. V. Smorodina. This book was released on 1998-02-10. Available in PDF, EPUB and Kindle. Book excerpt: This book investigates the distributions of functionals defined on the sample paths of stochastic processes. It contains systematic exposition and applications of three general research methods developed by the authors. (i) The method of stratifications is used to study the problem of absolute continuity of distribution for different classes of functionals under very mild smoothness assumptions. It can be used also for evaluation of the distribution density of the functional. (ii) The method of differential operators is based on the abstract formalism of differential calculus and proves to be a powerful tool for the investigation of the smoothness properties of the distributions. (iii) The superstructure method, which is a later modification of the method of stratifications, is used to derive strong limit theorems (in the variation metric) for the distributions of stochastic functionals under weak convergence of the processes. Various application examples concern the functionals of Gaussian, Poisson and diffusion processes as well as partial sum processes from the Donsker-Prokhorov scheme. The research methods and basic results in this book are presented here in monograph form for the first time. The text would be suitable for a graduate course in the theory of stochastic processes and related topics.

You may also like...