Introduction to Mathematical Modeling and Chaotic Dynamics, Upadhyay, Ranjit Kumar , Iyengar, Satteluri R. K.

Автор: Rozikov Utkir a.
Название: An Introduction to Mathematical Billiards
ISBN: 9813276460 ISBN-13(EAN): 9789813276468
Издательство: Wiley
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Цена: 95040.00 T
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Описание: 'This book offers one of the few places where a collection of results from the literature can be found ... The book has an extensive bibliography ... It is very nice to have the compendium of results that is presented here.'zbMATHA mathematical billiard is a mechanical system consisting of a billiard ball on a table of any form (which can be planar or even a multidimensional domain) but without billiard pockets. The ball moves and its trajectory is defined by the ball's initial position and its initial speed vector. The ball's reflections from the boundary of the table are assumed to have the property that the reflection and incidence angles are the same. This book comprehensively presents known results on the behavior of a trajectory of a billiard ball on a planar table (having one of the following forms: circle, ellipse, triangle, rectangle, polygon and some general convex domains). It provides a systematic review of the theory of dynamical systems, with a concise presentation of billiards in elementary mathematics and simple billiards related to geometry and physics.The description of these trajectories leads to the solution of various questions in mathematics and mechanics: problems related to liquid transfusion, lighting of mirror rooms, crushing of stones in a kidney, collisions of gas particles, etc. The analysis of billiard trajectories can involve methods of geometry, dynamical systems, and ergodic theory, as well as methods of theoretical physics and mechanics, which has applications in the fields of biology, mathematics, medicine, and physics.

Автор: Bhimsen K. Shivamoggi
Название: Nonlinear Dynamics and Chaotic Phenomena: An Introduction
ISBN: 9400770936 ISBN-13(EAN): 9789400770935
Издательство: Springer
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Цена: 148020.00 T
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Описание: This book clearly details the basic concepts, language and results of nonlinear dynamical systems. It serves as an ideal reference to first-year graduate students and theoretically inclined researchers in the physical sciences and engineering.

Автор: Alexander B. Borisov, Vladimir V. Zverev
Название: Nonlinear Dynamics: Non-Integrable Systems and Chaotic Dynamics
ISBN: 3110439387 ISBN-13(EAN): 9783110439380
Издательство: Walter de Gruyter
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Цена: 123910.00 T
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Описание: The book provides a concise and rigor introduction to the fundamentals of methods for solving the principal problems of modern non-linear dynamics. This monograph covers the basic issues of the theory of integrable systems and the theory of dynamical chaos both in nonintegrable conservative and in dissipative systems. A distinguishing feature of the material exposition is to add some comments, historical information, brief biographies and portraits of the researchers who made the most significant contribution to science. This allows one to present the material as accessible and attractive to students to acquire indepth scientific knowledge of nonlinear mechanics, feel the atmosphere where those or other important discoveries were made. The book can be used as a textbook for advanced undergraduate and graduate students majoring in high-tech industries and high technology (the science based on high technology) to help them to develop lateral thinking in early stages of training. Contents: Nonlinear OscillationsIntegrable SystemsStability of Motion and Structural StabilityChaos in Conservative SystemsChaos and Fractal Attractors in Dissipative SystemsConclusionReferencesIndex

Автор: Rozikov Utkir A
Название: Population Dynamics: Algebraic And Probabilistic Approach
ISBN: 9811211221 ISBN-13(EAN): 9789811211225
Издательство: World Scientific Publishing
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Цена: 142560.00 T
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A population is a summation of all the organisms of the same group or species, which live in a particular geographical area, and have the capability of interbreeding. The main mathematical problem for a given population is to carefully examine the evolution (time dependent dynamics) of the population. The mathematical methods used in the study of this problem are based on probability theory, stochastic processes, dynamical systems, nonlinear differential and difference equations, and (non-)associative algebras.

A state of a population is a distribution of probabilities of the different types of organisms in every generation. Type partition is called differentiation (for example, sex differentiation which defines a bisexual population). This book systematically describes the recently developed theory of (bisexual) population, and mainly contains results obtained since 2010.

The book presents algebraic and probabilistic approaches in the theory of population dynamics. It also includes several dynamical systems of biological models such as dynamics generated by Markov processes of cubic stochastic matrices; dynamics of sex-linked population; dynamical systems generated by a gonosomal evolution operator; dynamical system and an evolution algebra of mosquito population; and ocean ecosystems.

The main aim of this book is to facilitate the reader's in-depth understanding by giving a systematic review of the theory of population dynamics which has wide applications in biology, mathematics, medicine, and physics.

Автор: Sibani Paolo
Название: Stochastic Dynamics of Complex Systems
ISBN: 1848169930 ISBN-13(EAN): 9781848169937
Издательство: World Scientific Publishing
Цена: 79200.00 T
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Описание: Dynamical evolution over long time scales is a prominent feature of all systems we intuitively think of as complex; for example, ecosystems, or the economy. This book focuses on stochastic processes which cause ageing, and surprising fact that the ageing dynamics of systems which are different at microscopic level can be treated in similar ways.

Автор: Leoncini Xavier Et Al
Название: Chaos, Complexity And Transport - Proceedings Of The Cct `11
ISBN: 9814405639 ISBN-13(EAN): 9789814405638
Издательство: World Scientific Publishing
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Цена: 105600.00 T
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Описание: Aims to offer readers a panorama of the progress in nonlinear physics, complexity and transport with chapters readable by a broad audience. This title collects a selection of contributions to the CCT11 conference (Marseille, 23-27 May 2011).

Автор: Stetz Albert W
Название: Lectures On Nonlinear Mechanics And Chaos Theory
ISBN: 9813143029 ISBN-13(EAN): 9789813143029
Издательство: World Scientific Publishing
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Цена: 30630.00 T
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Описание: This elegant book presents a rigorous introduction to the theory of nonlinear mechanics and chaos. It turns out that many simple mechanical systems suffer from a peculiar malady.

Автор: Bernard J. Geurts
Название: Direct and Large-Eddy Simulation
ISBN: 3110516217 ISBN-13(EAN): 9783110516210
Издательство: Walter de Gruyter
Цена: 173490.00 T
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The series is devoted to the publication of high-level monographs and specialized graduate texts which cover the modern mathematical foundations behind computational science and its applications in physical and life sciences, and in engineering.

Автор: Sidorov Denis, Sidorov Nikolay, Sinitsyn Alexander V
Название: Toward General Theory Of Differential-operator And Kinetic Models
ISBN: 9811213747 ISBN-13(EAN): 9789811213748
Издательство: World Scientific Publishing
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Цена: 142560.00 T
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Описание: This volume provides a comprehensive introduction to the modern theory of differential-operator and kinetic models including Vlasov-Maxwell, Fredholm, Lyapunov-Schmidt branching equations to name a few. This book will bridge the gap in the considerable body of existing academic literature on the analytical methods used in studies of complex behavior of differential-operator equations and kinetic models. This monograph will be of interest to mathematicians, physicists and engineers interested in the theory of such non-standard systems.

Автор: Stetz Albert W
Название: Lectures On Nonlinear Mechanics And Chaos Theory
ISBN: 9813141352 ISBN-13(EAN): 9789813141353
Издательство: World Scientific Publishing
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Цена: 61250.00 T
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Описание: This elegant book presents a rigorous introduction to the theory of nonlinear mechanics and chaos. It turns out that many simple mechanical systems suffer from a peculiar malady.

Автор: Lambiotte Renaud Et Al
Название: Guide To Temporal Networks, A
ISBN: 178634114X ISBN-13(EAN): 9781786341143
Издательство: World Scientific Publishing
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Цена: 85530.00 T
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Network science offers a powerful language to represent and study complex systems composed of interacting elements -- from the Internet to social and biological systems. In its standard formulation, this framework relies on the assumption that the underlying topology is static, or changing very slowly as compared to dynamical processes taking place on it, e.g., epidemic spreading or navigation. Fuelled by the increasing availability of longitudinal networked data, recent empirical observations have shown that this assumption is not valid in a variety of situations. Instead, often the network itself presents rich temporal properties and new tools are required to properly describe and analyse their behaviour.

A Guide to Temporal Networks presents recent theoretical and modelling progress in the emerging field of temporally varying networks, and provides connections between different areas of knowledge required to address this multi-disciplinary subject. After an introduction to key concepts on networks and stochastic dynamics, the authors guide the reader through a coherent selection of mathematical and computational tools for network dynamics. Perfect for students and professionals, this book is a gateway to an active field of research developing between the disciplines of applied mathematics, physics and computer science, with applications in others including social sciences, neuroscience and biology.

Автор: Bouchet Freddy Et Al
Название: Peyresq Lectures On Nonlinear Phenomena (Volume 3)
ISBN: 9814440582 ISBN-13(EAN): 9789814440585
Издательство: World Scientific Publishing
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Цена: 132000.00 T
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Описание: This book is the third volume of lecture notes from summer schools held in the small village of Peyresq (France). These lectures cover nonlinear physics in a broad sense. They were given over the period 2004 to 2008. The summer schools were organized by the Institut Non Lin aire de Nice (Nice, France), the Laboratoire de Physique Statistique (ENS Paris, France) and the Institut de Recherche de Physique Hors Equilibre (Marseilles, France). The goal of the book is to provide a high-quality overview on the state of the art in nonlinear sciences, and to promote the transfer of knowledge between the various domains in physics dealing with nonlinear phenomena.