A Mathematical Modeling Approach from Nonlinear Dynamics to Complex Systems, Elbert E. N. Macau

Автор: Albert C.J. Luo; H?seyin Merdan
Название: Mathematical Modeling and Applications in Nonlinear Dynamics
ISBN: 3319266284 ISBN-13(EAN): 9783319266282
Издательство: Springer
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Цена: 11179.00 р.
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Описание: The book covers nonlinear physical problems and mathematical modeling, including molecular biology, genetics, neurosciences, artificial intelligence with classical problems in mechanics and astronomy and physics.

Автор: Nicolis Gregoire
Название: Foundations of Complex Systems
ISBN: 9814366609 ISBN-13(EAN): 9789814366601
Издательство: World Scientific Publishing
Цена: 16632.00 р.
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Описание: This book provides a self-contained presentation of the physical and mathematical laws governing complex systems. Complex systems arising in natural, engineering, environmental, life and social sciences are approached from a unifying point of view using an array of methodologies such as microscopic and macroscopic level formulations, deterministic and probabilistic tools, modeling and simulation. The book can be used as a textbook by graduate students, researchers and teachers in science, as well as non-experts who wish to have an overview of one of the most open, markedly interdisciplinary and fast-growing branches of present-day science.

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: 21384.00 р.
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Описание:

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: 11880.00 р.
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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: Strogatz Steven
Название: Nonlinear Dynamics and Chaos
ISBN: 0813349109 ISBN-13(EAN): 9780813349107
Издательство: Taylor&Francis
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Цена: 10564.00 р.
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Описание: This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.A unique feature of the book is its emphasis on applications. These include mechanical vibrations, lasers, biological rhythms, superconducting circuits, insect outbreaks, chemical oscillators, genetic control systems, chaotic waterwheels, and even a technique for using chaos to send secret messages. In each case, the scientific background is explained at an elementary level and closely integrated with mathematical theory.In the twenty years since the first edition of this book appeared, the ideas and techniques of nonlinear dynamics and chaos have found application to such exciting new fields as systems biology, evolutionary game theory, and sociophysics. This second edition includes new exercises on these cutting-edge developments, on topics as varied as the curiosities of visual perception and the tumultuous love dynamics in Gone With the Wind .

Автор: Jorge Carballido-Landeira; Bruno Escribano
Название: Biological Systems: Nonlinear Dynamics Approach
ISBN: 3030165841 ISBN-13(EAN): 9783030165840
Издательство: Springer
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Цена: 6986.00 р.
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Описание: This book collects recent advances in the field of nonlinear dynamics in biological systems. Focusing on medical applications as well as more fundamental questions in biochemistry, it presents recent findings in areas such as control in chemically driven reaction-diffusion systems, electrical wave propagation through heart tissue, neural network growth, chiral symmetry breaking in polymers and mechanochemical pattern formation in the cytoplasm, particularly in the context of cardiac cells. It is a compilation of works, including contributions from international scientists who attended the “2nd BCAM Workshop on Nonlinear Dynamics in Biological Systems,” held at the Basque Center for Applied Mathematics, Bilbao in September 2016. Embracing diverse disciplines and using multidisciplinary approaches – including theoretical concepts, simulations and experiments – these contributions highlight the nonlinear nature of biological systems in order to be able to reproduce their complex behavior. Edited by the conference organizers and featuring results that represent recent findings and not necessarily those presented at the conference, the book appeals to applied mathematicians, biophysicists and computational biologists.

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: 18586.00 р.
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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