Biological Systems: Nonlinear Dynamics Approach, Jorge Carballido-Landeira; Bruno Escribano
Автор: Carballido-Landeira Название: Nonlinear Dynamics in Biological Systems ISBN: 3319330535 ISBN-13(EAN): 9783319330532 Издательство: Springer Рейтинг: Цена: 14365.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents recent researchresults relating to applications of nonlinear dynamics, focusing specificallyon four topics of wide interest: heart dynamics, DNA/RNA, cell mobility, andproteins. The book derives from the First BCAM Workshop on Nonlinear Dynamicsin Biological Systems, held in June 2014 at the Basque Center of AppliedMathematics (BCAM). At this international meeting, researchers from differentbut complementary backgrounds, including molecular dynamics, physical chemistry,bio-informatics and biophysics, presented their most recent results anddiscussed the future direction of their studies using theoretical, mathematicalmodeling and experimental approaches. Such was the level of interest stimulatedthat the decision was taken to produce this publication, with the organizers ofthe event acting as editors. All of the contributing authors are researchers workingon diverse biological problems that can be approached using nonlinear dynamics.The book will appeal especially to applied mathematicians, biophysicists, andcomputational biologists.
Автор: Strogatz Steven Название: Nonlinear Dynamics and Chaos ISBN: 0813349109 ISBN-13(EAN): 9780813349107 Издательство: Taylor&Francis Рейтинг: Цена: 10564.00 р. Наличие на складе: Поставка под заказ.
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 .
Описание: This book collects recent developments in nonlinear and complex systems. It provides up-to-date theoretic developments and new techniques based on a nonlinear dynamical systems approach that can be used to model and understand complex behavior in nonlinear dynamical systems. It covers symmetry groups, conservation laws, risk reduction management, barriers in Hamiltonian systems, and synchronization and chaotic transient. Illustrating mathematical modeling applications to nonlinear physics and nonlinear engineering, the book is ideal for academic and industrial researchers concerned with machinery and controls, manufacturing, and controls.· Introduces new concepts for understanding and modeling complex systems;· Explains risk reduction management in complex systems;· Examines the symmetry group approach to understanding complex systems;· Illustrates the relation between transient chaos and crises.
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.
Описание: Treats the dynamics of both iteration of functions and solutions of ordinary differential equations. This book introduces various concepts for iteration of functions where the geometry is simpler, but results are interpreted for differential equations. It concentrates on properties of the whole system or subsets of the system.
Автор: Arianna Bianchi; Thomas Hillen; Mark A. Lewis; Yin Название: The Dynamics of Biological Systems ISBN: 3030225828 ISBN-13(EAN): 9783030225827 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The book presents nine mini-courses from a summer school, Dynamics of Biological Systems, held at the University of Alberta in 2016, as part of the prestigious seminar series: S?minaire de Math?matiques Sup?rieures (SMS). It includes new and significant contributions in the field of Dynamical Systems and their applications in Biology, Ecology, and Medicine.The chapters of this book cover a wide range of mathematical methods and biological applications. They - explain the process of mathematical modelling of biological systems with many examples, - introduce advanced methods from dynamical systems theory, - present many examples of the use of mathematical modelling to gain biological insight- discuss innovative methods for the analysis of biological processes,- contain extensive lists of references, which allow interested readers to continue the research on their own. Integrating the theory of dynamical systems with biological modelling, the book will appeal to researchers and graduate students in Applied Mathematics and Life Sciences.
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