Nonautonomous Dynamical Systems in the Life Sciences

Download Nonautonomous Dynamical Systems in the Life Sciences PDF Online Free

Author :
Publisher : Springer
ISBN 13 : 3319030809
Total Pages : 326 pages
Book Rating : 4.3/5 (19 download)

DOWNLOAD NOW!


Book Synopsis Nonautonomous Dynamical Systems in the Life Sciences by : Peter E. Kloeden

Download or read book Nonautonomous Dynamical Systems in the Life Sciences written by Peter E. Kloeden and published by Springer. This book was released on 2014-01-22 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonautonomous dynamics describes the qualitative behavior of evolutionary differential and difference equations, whose right-hand side is explicitly time dependent. Over recent years, the theory of such systems has developed into a highly active field related to, yet recognizably distinct from that of classical autonomous dynamical systems. This development was motivated by problems of applied mathematics, in particular in the life sciences where genuinely nonautonomous systems abound. The purpose of this monograph is to indicate through selected, representative examples how often nonautonomous systems occur in the life sciences and to outline the new concepts and tools from the theory of nonautonomous dynamical systems that are now available for their investigation.

Nonautonomous Dynamical Systems

Download Nonautonomous Dynamical Systems PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821868713
Total Pages : 274 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!


Book Synopsis Nonautonomous Dynamical Systems by : Peter E. Kloeden

Download or read book Nonautonomous Dynamical Systems written by Peter E. Kloeden and published by American Mathematical Soc.. This book was released on 2011-08-17 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of nonautonomous dynamical systems in both of its formulations as processes and skew product flows is developed systematically in this book. The focus is on dissipative systems and nonautonomous attractors, in particular the recently introduced concept of pullback attractors. Linearization theory, invariant manifolds, Lyapunov functions, Morse decompositions and bifurcations for nonautonomous systems and set-valued generalizations are also considered as well as applications to numerical approximations, switching systems and synchronization. Parallels with corresponding theories of control and random dynamical systems are briefly sketched. With its clear and systematic exposition, many examples and exercises, as well as its interesting applications, this book can serve as a text at the beginning graduate level. It is also useful for those who wish to begin their own independent research in this rapidly developing area.

An Introduction To Nonautonomous Dynamical Systems And Their Attractors

Download An Introduction To Nonautonomous Dynamical Systems And Their Attractors PDF Online Free

Author :
Publisher : World Scientific
ISBN 13 : 9811228671
Total Pages : 157 pages
Book Rating : 4.8/5 (112 download)

DOWNLOAD NOW!


Book Synopsis An Introduction To Nonautonomous Dynamical Systems And Their Attractors by : Peter Kloeden

Download or read book An Introduction To Nonautonomous Dynamical Systems And Their Attractors written by Peter Kloeden and published by World Scientific. This book was released on 2020-11-25 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt: The nature of time in a nonautonomous dynamical system is very different from that in autonomous systems, which depend only on the time that has elapsed since starting rather than on the actual time itself. Consequently, limiting objects may not exist in actual time as in autonomous systems. New concepts of attractors in nonautonomous dynamical system are thus required.In addition, the definition of a dynamical system itself needs to be generalised to the nonautonomous context. Here two possibilities are considered: two-parameter semigroups or processes and the skew product flows. Their attractors are defined in terms of families of sets that are mapped onto each other under the dynamics rather than a single set as in autonomous systems. Two types of attraction are now possible: pullback attraction, which depends on the behaviour from the system in the distant past, and forward attraction, which depends on the behaviour of the system in the distant future. These are generally independent of each other.The component subsets of pullback and forward attractors exist in actual time. The asymptotic behaviour in the future limit is characterised by omega-limit sets, in terms of which form what are called forward attracting sets. They are generally not invariant in the conventional sense, but are asymptotically invariant in general and, if the future dynamics is appropriately uniform, also asymptotically negatively invariant.Much of this book is based on lectures given by the authors in Frankfurt and Wuhan. It was written mainly when the first author held a 'Thousand Expert' Professorship at the Huazhong University of Science and Technology in Wuhan.

Applied Nonautonomous and Random Dynamical Systems

Download Applied Nonautonomous and Random Dynamical Systems PDF Online Free

Author :
Publisher : Springer
ISBN 13 : 3319492470
Total Pages : 115 pages
Book Rating : 4.3/5 (194 download)

DOWNLOAD NOW!


Book Synopsis Applied Nonautonomous and Random Dynamical Systems by : Tomás Caraballo

Download or read book Applied Nonautonomous and Random Dynamical Systems written by Tomás Caraballo and published by Springer. This book was released on 2017-01-31 with total page 115 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an introduction to the theory of non-autonomous and stochastic dynamical systems, with a focus on the importance of the theory in the Applied Sciences. It starts by discussing the basic concepts from the theory of autonomous dynamical systems, which are easier to understand and can be used as the motivation for the non-autonomous and stochastic situations. The book subsequently establishes a framework for non-autonomous dynamical systems, and in particular describes the various approaches currently available for analysing the long-term behaviour of non-autonomous problems. Here, the major focus is on the novel theory of pullback attractors, which is still under development. In turn, the third part represents the main body of the book, introducing the theory of random dynamical systems and random attractors and revealing how it may be a suitable candidate for handling realistic models with stochasticity. A discussion of future research directions serves to round out the coverage.

Physics of Biological Oscillators

Download Physics of Biological Oscillators PDF Online Free

Author :
Publisher : Springer Nature
ISBN 13 : 3030598055
Total Pages : 431 pages
Book Rating : 4.0/5 (35 download)

DOWNLOAD NOW!


Book Synopsis Physics of Biological Oscillators by : Aneta Stefanovska

Download or read book Physics of Biological Oscillators written by Aneta Stefanovska and published by Springer Nature. This book was released on 2021-05-05 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, based on a selection of invited presentations from a topical workshop, focusses on time-variable oscillations and their interactions. The problem is challenging, because the origin of the time variability is usually unknown. In mathematical terms, the oscillations are non-autonomous, reflecting the physics of open systems where the function of each oscillator is affected by its environment. Time-frequency analysis being essential, recent advances in this area, including wavelet phase coherence analysis and nonlinear mode decomposition, are discussed. Some applications to biology and physiology are described. Although the most important manifestation of time-variable oscillations is arguably in biology, they also crop up in, e.g. astrophysics, or for electrons on superfluid helium. The book brings together the research of the best international experts in seemingly very different disciplinary areas.

Tackling the Inverse Problem for Non-Autonomous Systems

Download Tackling the Inverse Problem for Non-Autonomous Systems PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 331900753X
Total Pages : 145 pages
Book Rating : 4.3/5 (19 download)

DOWNLOAD NOW!


Book Synopsis Tackling the Inverse Problem for Non-Autonomous Systems by : Tomislav Stankovski

Download or read book Tackling the Inverse Problem for Non-Autonomous Systems written by Tomislav Stankovski and published by Springer Science & Business Media. This book was released on 2013-08-27 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis presents a new method for following evolving interactions between coupled oscillatory systems of the kind that abound in nature. Examples range from the subcellular level, to ecosystems, through climate dynamics, to the movements of planets and stars. Such systems mutually interact, adjusting their internal clocks, and may correspondingly move between synchronized and non-synchronized states. The thesis describes a way of using Bayesian inference to exploit the presence of random fluctuations, thus analyzing these processes in unprecedented detail. It first develops the basic theory of interacting oscillators whose frequencies are non-constant, and then applies it to the human heart and lungs as an example. Their coupling function can be used to follow with great precision the transitions into and out of synchronization. The method described has the potential to illuminate the ageing process as well as to improve diagnostics in cardiology, anesthesiology and neuroscience, and yields insights into a wide diversity of natural processes.

Dynamical Systems in Population Biology

Download Dynamical Systems in Population Biology PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 0387217614
Total Pages : 285 pages
Book Rating : 4.3/5 (872 download)

DOWNLOAD NOW!


Book Synopsis Dynamical Systems in Population Biology by : Xiao-Qiang Zhao

Download or read book Dynamical Systems in Population Biology written by Xiao-Qiang Zhao and published by Springer Science & Business Media. This book was released on 2013-06-05 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: Population dynamics is an important subject in mathematical biology. A cen tral problem is to study the long-term behavior of modeling systems. Most of these systems are governed by various evolutionary equations such as difference, ordinary, functional, and partial differential equations (see, e. g. , [165, 142, 218, 119, 55]). As we know, interactive populations often live in a fluctuating environment. For example, physical environmental conditions such as temperature and humidity and the availability of food, water, and other resources usually vary in time with seasonal or daily variations. Therefore, more realistic models should be nonautonomous systems. In particular, if the data in a model are periodic functions of time with commensurate period, a periodic system arises; if these periodic functions have different (minimal) periods, we get an almost periodic system. The existing reference books, from the dynamical systems point of view, mainly focus on autonomous biological systems. The book of Hess [106J is an excellent reference for periodic parabolic boundary value problems with applications to population dynamics. Since the publication of this book there have been extensive investigations on periodic, asymptotically periodic, almost periodic, and even general nonautonomous biological systems, which in turn have motivated further development of the theory of dynamical systems. In order to explain the dynamical systems approach to periodic population problems, let us consider, as an illustration, two species periodic competitive systems dUI dt = !I(t,Ul,U2), (0.

Computational Methods in Systems Biology

Download Computational Methods in Systems Biology PDF Online Free

Author :
Publisher : Springer
ISBN 13 : 3319451774
Total Pages : 361 pages
Book Rating : 4.3/5 (194 download)

DOWNLOAD NOW!


Book Synopsis Computational Methods in Systems Biology by : Ezio Bartocci

Download or read book Computational Methods in Systems Biology written by Ezio Bartocci and published by Springer. This book was released on 2016-09-03 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 14th International Conference on Computational Methods in Systems Biology, CMSB 2016, held in Cambridge, UK, in September 2016. The 20 full papers, 3 tool papers and 9 posters presented were carefully reviewed and selected from 37 regular paper submissions. The topics include formalisms for modeling biological processes; models and their biological applications; frameworks for model verification, validation, analysis, and simulation of biological systems; high-performance computational systems biology and parallel implementations; model inference from experimental data; model integration from biological databases; multi-scale modeling and analysis methods; and computational approaches for synthetic biology.

Operators, Semigroups, Algebras and Function Theory

Download Operators, Semigroups, Algebras and Function Theory PDF Online Free

Author :
Publisher : Springer Nature
ISBN 13 : 3031380207
Total Pages : 262 pages
Book Rating : 4.0/5 (313 download)

DOWNLOAD NOW!


Book Synopsis Operators, Semigroups, Algebras and Function Theory by : Yemon Choi

Download or read book Operators, Semigroups, Algebras and Function Theory written by Yemon Choi and published by Springer Nature. This book was released on 2023-12-06 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects contributions from participants in the IWOTA conference held virtually at Lancaster, UK, originally scheduled in 2020 but postponed to August 2021. It includes both survey articles and original research papers covering some of the main themes of the meeting.

Positive Dynamical Systems in Discrete Time

Download Positive Dynamical Systems in Discrete Time PDF Online Free

Author :
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110365693
Total Pages : 366 pages
Book Rating : 4.1/5 (13 download)

DOWNLOAD NOW!


Book Synopsis Positive Dynamical Systems in Discrete Time by : Ulrich Krause

Download or read book Positive Dynamical Systems in Discrete Time written by Ulrich Krause and published by Walter de Gruyter GmbH & Co KG. This book was released on 2015-03-10 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a systematic, rigorous and self-contained treatment of positive dynamical systems. A dynamical system is positive when all relevant variables of a system are nonnegative in a natural way. This is in biology, demography or economics, where the levels of populations or prices of goods are positive. The principle also finds application in electrical engineering, physics and computer sciences. "The author has greatly expanded the field of positive systems in surprising ways." - Prof. Dr. David G. Luenberger, Stanford University(USA)

Infinite Dimensional Dynamical Systems

Download Infinite Dimensional Dynamical Systems PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 146144523X
Total Pages : 495 pages
Book Rating : 4.4/5 (614 download)

DOWNLOAD NOW!


Book Synopsis Infinite Dimensional Dynamical Systems by : John Mallet-Paret

Download or read book Infinite Dimensional Dynamical Systems written by John Mallet-Paret and published by Springer Science & Business Media. This book was released on 2012-10-11 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: ​This collection covers a wide range of topics of infinite dimensional dynamical systems generated by parabolic partial differential equations, hyperbolic partial differential equations, solitary equations, lattice differential equations, delay differential equations, and stochastic differential equations. Infinite dimensional dynamical systems are generated by evolutionary equations describing the evolutions in time of systems whose status must be depicted in infinite dimensional phase spaces. Studying the long-term behaviors of such systems is important in our understanding of their spatiotemporal pattern formation and global continuation, and has been among major sources of motivation and applications of new developments of nonlinear analysis and other mathematical theories. Theories of the infinite dimensional dynamical systems have also found more and more important applications in physical, chemical, and life sciences. This book collects 19 papers from 48 invited lecturers to the International Conference on Infinite Dimensional Dynamical Systems held at York University, Toronto, in September of 2008. As the conference was dedicated to Professor George Sell from University of Minnesota on the occasion of his 70th birthday, this collection reflects the pioneering work and influence of Professor Sell in a few core areas of dynamical systems, including non-autonomous dynamical systems, skew-product flows, invariant manifolds theory, infinite dimensional dynamical systems, approximation dynamics, and fluid flows.​

Insights in Obstetric and Pediatric Pharmacology: 2021

Download Insights in Obstetric and Pediatric Pharmacology: 2021 PDF Online Free

Author :
Publisher : Frontiers Media SA
ISBN 13 : 283250311X
Total Pages : 179 pages
Book Rating : 4.8/5 (325 download)

DOWNLOAD NOW!


Book Synopsis Insights in Obstetric and Pediatric Pharmacology: 2021 by : Jeffrey Scott Barrett

Download or read book Insights in Obstetric and Pediatric Pharmacology: 2021 written by Jeffrey Scott Barrett and published by Frontiers Media SA. This book was released on 2022-10-21 with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Time and Methods in Environmental Interfaces Modelling

Download Time and Methods in Environmental Interfaces Modelling PDF Online Free

Author :
Publisher : Elsevier
ISBN 13 : 0444639233
Total Pages : 414 pages
Book Rating : 4.4/5 (446 download)

DOWNLOAD NOW!


Book Synopsis Time and Methods in Environmental Interfaces Modelling by : Dragutin T Mihailovic

Download or read book Time and Methods in Environmental Interfaces Modelling written by Dragutin T Mihailovic and published by Elsevier. This book was released on 2016-10-31 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: Time and Methods in Environmental Interfaces Modelling: Personal Insights considers the use of time in environmental interfaces modeling and introduce new methods, from the global scale (e.g. climate modeling) to the micro scale (e.g. cell and nanotubes modeling), which primarily arise from the personal research insights of the authors. As the field of environmental science requires the application of new fundamental approaches that can lead to a better understanding of environmental phenomena, this book helps necessitate new approaches in modeling, including category theory, that follow new achievements in physics, mathematics, biology, and chemistry. Includes the use of new mathematical tools, such as category theory, mathematical theory of general systems and formal concept analysis, matrix theory tools, stability analysis, and pseudospectra Presents new content related to time in relation to physics and biology Combines the word of an experienced author team with over 35 papers of collective experience

Geometric Singular Perturbation Theory Beyond the Standard Form

Download Geometric Singular Perturbation Theory Beyond the Standard Form PDF Online Free

Author :
Publisher : Springer Nature
ISBN 13 : 3030363996
Total Pages : 143 pages
Book Rating : 4.0/5 (33 download)

DOWNLOAD NOW!


Book Synopsis Geometric Singular Perturbation Theory Beyond the Standard Form by : Martin Wechselberger

Download or read book Geometric Singular Perturbation Theory Beyond the Standard Form written by Martin Wechselberger and published by Springer Nature. This book was released on 2020-02-21 with total page 143 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides a comprehensive review of multiple-scale dynamical systems. Mathematical models of such multiple-scale systems are considered singular perturbation problems, and this volume focuses on the geometric approach known as Geometric Singular Perturbation Theory (GSPT). It is the first of its kind that introduces the GSPT in a coordinate-independent manner. This is motivated by specific examples of biochemical reaction networks, electronic circuit and mechanic oscillator models and advection-reaction-diffusion models, all with an inherent non-uniform scale splitting, which identifies these examples as singular perturbation problems beyond the standard form. The contents cover a general framework for this GSPT beyond the standard form including canard theory, concrete applications, and instructive qualitative models. It contains many illustrations and key pointers to the existing literature. The target audience are senior undergraduates, graduate students and researchers interested in using the GSPT toolbox in nonlinear science, either from a theoretical or an application point of view. Martin Wechselberger is Professor at the School of Mathematics & Statistics, University of Sydney, Australia. He received the J.D. Crawford Prize in 2017 by the Society for Industrial and Applied Mathematics (SIAM) for achievements in the field of dynamical systems with multiple time-scales.

Nonlinear Dynamics in the Life and Social Sciences

Download Nonlinear Dynamics in the Life and Social Sciences PDF Online Free

Author :
Publisher : IOS Press
ISBN 13 : 9781586030209
Total Pages : 436 pages
Book Rating : 4.0/5 (32 download)

DOWNLOAD NOW!


Book Synopsis Nonlinear Dynamics in the Life and Social Sciences by : William H. Sulis

Download or read book Nonlinear Dynamics in the Life and Social Sciences written by William H. Sulis and published by IOS Press. This book was released on 2001 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: Incorporating chaos theory into psychology and the life sciences, this text includes empirical studies of neural encoding, memory, eye movements, warfare, business cycles and selection of time series analysis algorithms. There are theoretical chapters on emergence and social dynamics, and clinical contributions dealing with: the measurement of quality of life for psychiatric patients; psychosis; the organization of self; and the role of love in family dynamics. Finally ideas from non-linear dynamics are applied to understanding the creative process.

Infinite Dimensional Dynamical Systems

Download Infinite Dimensional Dynamical Systems PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1461445221
Total Pages : 495 pages
Book Rating : 4.4/5 (614 download)

DOWNLOAD NOW!


Book Synopsis Infinite Dimensional Dynamical Systems by : John Mallet-Paret

Download or read book Infinite Dimensional Dynamical Systems written by John Mallet-Paret and published by Springer Science & Business Media. This book was released on 2012-10-11 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: ​This collection covers a wide range of topics of infinite dimensional dynamical systems generated by parabolic partial differential equations, hyperbolic partial differential equations, solitary equations, lattice differential equations, delay differential equations, and stochastic differential equations. Infinite dimensional dynamical systems are generated by evolutionary equations describing the evolutions in time of systems whose status must be depicted in infinite dimensional phase spaces. Studying the long-term behaviors of such systems is important in our understanding of their spatiotemporal pattern formation and global continuation, and has been among major sources of motivation and applications of new developments of nonlinear analysis and other mathematical theories. Theories of the infinite dimensional dynamical systems have also found more and more important applications in physical, chemical, and life sciences. This book collects 19 papers from 48 invited lecturers to the International Conference on Infinite Dimensional Dynamical Systems held at York University, Toronto, in September of 2008. As the conference was dedicated to Professor George Sell from University of Minnesota on the occasion of his 70th birthday, this collection reflects the pioneering work and influence of Professor Sell in a few core areas of dynamical systems, including non-autonomous dynamical systems, skew-product flows, invariant manifolds theory, infinite dimensional dynamical systems, approximation dynamics, and fluid flows.​

Cardiorespiratory Coupling - Novel Insights for Integrative Biomedicine

Download Cardiorespiratory Coupling - Novel Insights for Integrative Biomedicine PDF Online Free

Author :
Publisher : Frontiers Media SA
ISBN 13 : 2889667936
Total Pages : 162 pages
Book Rating : 4.8/5 (896 download)

DOWNLOAD NOW!


Book Synopsis Cardiorespiratory Coupling - Novel Insights for Integrative Biomedicine by : Tijana Bojić

Download or read book Cardiorespiratory Coupling - Novel Insights for Integrative Biomedicine written by Tijana Bojić and published by Frontiers Media SA. This book was released on 2021-06-01 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: