Monotone Dynamical Systems
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Monotone Dynamical Systems An Introduction To The Theory Of Competitive And Cooperative Systems
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Author : Hal L. Smith
language : en
Publisher: American Mathematical Soc.
Release Date : 1995
Monotone Dynamical Systems An Introduction To The Theory Of Competitive And Cooperative Systems written by Hal L. Smith and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.
This book presents comprehensive treatment of a rapidly developing area with many potential applications: the theory of monotone dynamical systems and the theory of competitive and cooperative differential equations. The primary aim is to provide potential users of the theory with techniques, results, and ideas useful in applications, while at the same time providing rigorous proofs. Among the topics discussed in the book are continuous-time monotone dynamical systems, and quasimonotone and nonquasimonotone delay differential equations. The book closes with a discussion of applications to quasimonotone systems of reaction-diffusion type. Throughout the book, applications of the theory to many mathematical models arising in biology are discussed. Requiring a background in dynamical systems at the level of a first graduate course, this book is useful to graduate students and researchers working in the theory of dynamical systems and its applications.
Monotone Nonautonomous Dynamical Systems
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Author : David N. Cheban
language : en
Publisher: Springer Nature
Release Date : 2024-07-15
Monotone Nonautonomous Dynamical Systems written by David N. Cheban and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-15 with Mathematics categories.
The monograph present ideas and methods, developed by the author, to solve the problem of existence of Bohr/Levitan almost periodic (respectively, almost recurrent in the sense of Bebutov, almost authomorphic, Poisson stable) solutions and global attractors of monotone nonautonomous differential/difference equations. Namely, the text provides answers to the following problems: 1. Problem of existence of at least one Bohr/Levitan almost periodic solution for cooperative almost periodic differential/difference equations; 2. Problem of existence of at least one Bohr/Levitan almost periodic solution for uniformly stable and dissipative monotone differential equations (I. U. Bronshtein’s conjecture, 1975); 3. Problem of description of the structure of the global attractor for monotone nonautonomous dynamical systems; 4. The structure of the invariant/minimal sets and global attractors for one-dimensional monotone nonautonomous dynamical systems; 5. Asymptotic behavior of monotone nonautonomous dynamical systems with a first integral (Poisson stable motions, convergence, asymptotically Poisson stable motions and structure of the Levinson center (compact global attractor) of dissipative systems); 6. Existence and convergence to Poisson stable motions of monotone sub-linear nonautonomous dynamical systems. This book will be interesting to the mathematical community working in the field of nonautonomous dynamical systems and their applications (population dynamics, oscillation theory, ecology, epidemiology, economics, biochemistry etc). The book should be accessible to graduate and PhD students who took courses in real analysis (including the elements of functional analysis, general topology) and with general background in dynamical systems and qualitative theory of differential/difference equations.
A Survey Of Monotone Dynamical Systems
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Author : Lara Shannon Minock
language : en
Publisher:
Release Date : 2000
A Survey Of Monotone Dynamical Systems written by Lara Shannon Minock and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with categories.
Extremal Fuzzy Dynamic Systems
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Author : Gia Sirbiladze
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-09-25
Extremal Fuzzy Dynamic Systems written by Gia Sirbiladze and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-25 with Science categories.
In this book the author presents a new approach to the study of weakly structurable dynamic systems. It differs from other approaches by considering time as a source of fuzzy uncertainty in dynamic systems. It begins with a thorough introduction, where the general research domain, the problems, and ways of their solutions are discussed. The book then progresses systematically by first covering the theoretical aspects before tackling the applications. In the application section, a software library is described, which contains discrete EFDS identification methods elaborated during fundamental research of the book. Extremal Fuzzy Dynamic Systems will be of interest to theoreticians interested in modeling fuzzy processes, to researchers who use fuzzy statistics, as well as practitioners from different disciplines whose research interests include abnormal, extreme and monotone processes in nature and society. Graduate students could also find this book useful.
Monotone Dynamical Systems
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Author : Hal L. Smith
language : it
Publisher:
Release Date : 1995
Monotone Dynamical Systems written by Hal L. Smith and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with categories.
Applied Nonautonomous And Random Dynamical Systems
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Author : Tomás Caraballo
language : en
Publisher: Springer
Release Date : 2017-01-31
Applied Nonautonomous And Random Dynamical Systems written by Tomás Caraballo and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-31 with Mathematics categories.
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.
Monotone Dynamical Systems Graphs And Stability Of Large Scale Interconnected Systems
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Author : Björn Sebastian Rüffer
language : en
Publisher:
Release Date : 2007
Monotone Dynamical Systems Graphs And Stability Of Large Scale Interconnected Systems written by Björn Sebastian Rüffer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with categories.
Analysis And Design Of Hybrid Systems 2006
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Author : Christos Cassandras
language : en
Publisher: Elsevier
Release Date : 2006-11-21
Analysis And Design Of Hybrid Systems 2006 written by Christos Cassandras and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-21 with Technology & Engineering categories.
This volume contains the proceedings of Analysis and Design of Hybrid Systems 2006: the 2nd IFAC Conference on Analysis and Design of Hybrid Systems, organized in Alghero (Italy) on June 7-9, 2006. ADHS is a series of triennial meetings that aims to bring together researchers and practitioners with a background in control and computer science to provide a survey of the advances in the field of hybrid systems, and of their ability to take up the challenge of analysis, design and verification of efficient and reliable control systems. ADHS'06 is the second Conference of this series after ADHS'03 in Saint Malo. - 65 papers selected through careful reviewing process - Plenary lectures presented by three distinguished speakers - Featuring interesting new research topics
The Theory Of The Chemostat
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Author : Hal L. Smith
language : en
Publisher: Cambridge University Press
Release Date : 1995-01-27
The Theory Of The Chemostat written by Hal L. Smith and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-01-27 with Mathematics categories.
Basic modelling, analysis and simulation of systems that have proven effective in real ecological applications.
Dynamical Systems In Population Biology
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Author : Xiao-Qiang Zhao
language : en
Publisher: Springer
Release Date : 2017-04-11
Dynamical Systems In Population Biology written by Xiao-Qiang Zhao and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-11 with Mathematics categories.
This research monograph provides an introduction to the theory of nonautonomous semiflows with applications to population dynamics. It develops dynamical system approaches to various evolutionary equations such as difference, ordinary, functional, and partial differential equations, and pays more attention to periodic and almost periodic phenomena. The presentation includes persistence theory, monotone dynamics, periodic and almost periodic semiflows, basic reproduction ratios, traveling waves, and global analysis of prototypical population models in ecology and epidemiology. Research mathematicians working with nonlinear dynamics, particularly those interested in applications to biology, will find this book useful. It may also be used as a textbook or as supplementary reading for a graduate special topics course on the theory and applications of dynamical systems. Dr. Xiao-Qiang Zhao is a University Research Professor at Memorial University of Newfoundland, Canada. His main research interests involve applied dynamical systems, nonlinear differential equations, and mathematical biology. He is the author of more than 100 papers, and his research has played an important role in the development of the theory and applications of monotone dynamical systems, periodic and almost periodic semiflows, uniform persistence, and basic reproduction ratios.