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Author : Robert Rosen
Publisher : John Wiley & Sons
ISBN 13 :
Total Pages : 330 pages
Book Rating : 4.:/5 (318 download)
Download or read book Dynamical System Theory in Biology: Stability theory and its applications written by Robert Rosen and published by John Wiley & Sons. This book was released on 1970 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robert Rosen
Publisher : John Wiley & Sons
ISBN 13 :
Total Pages : 328 pages
Book Rating : 4.:/5 (25 download)
Download or read book Dynamical System Theory in Biology: Stability theory and its applications written by Robert Rosen and published by John Wiley & Sons. This book was released on 1970 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jan C. Willems
Publisher : Springer Science & Business Media
ISBN 13 : 3540939172
Total Pages : 391 pages
Book Rating : 4.5/5 (49 download)
Download or read book Perspectives in Mathematical System Theory, Control, and Signal Processing written by Jan C. Willems and published by Springer Science & Business Media. This book was released on 2010-02-28 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Festschrift, published on the occasion of the sixtieth birthday of Yutaka - mamoto (‘YY’ as he is occasionally casually referred to), contains a collection of articles by friends, colleagues, and former Ph.D. students of YY. They are a tribute to his friendship and his scienti?c vision and oeuvre, which has been a source of inspiration to the authors. Yutaka Yamamoto was born in Kyoto, Japan, on March 29, 1950. He studied applied mathematics and general engineering science at the Department of Applied Mathematics and Physics of Kyoto University, obtaining the B.S. and M.Sc. degrees in 1972 and 1974. His M.Sc. work was done under the supervision of Professor Yoshikazu Sawaragi. In 1974, he went to the Center for Mathematical System T- ory of the University of Florida in Gainesville. He obtained the M.Sc. and Ph.D. degrees, both in Mathematics, in 1976 and 1978, under the direction of Professor Rudolf Kalman.
Author : Nam P. Bhatia
Publisher :
ISBN 13 : 9783662181393
Total Pages : 428 pages
Book Rating : 4.1/5 (813 download)
Download or read book Dynamical Systems written by Nam P. Bhatia and published by . This book was released on 2014-01-15 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Anatoly A. Martynyuk
Publisher : Birkhäuser
ISBN 13 : 3319422138
Total Pages : 223 pages
Book Rating : 4.3/5 (194 download)
Download or read book Stability Theory for Dynamic Equations on Time Scales written by Anatoly A. Martynyuk and published by Birkhäuser. This book was released on 2016-09-22 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is a first in the world to present three approaches for stability analysis of solutions of dynamic equations. The first approach is based on the application of dynamic integral inequalities and the fundamental matrix of solutions of linear approximation of dynamic equations. The second is based on the generalization of the direct Lyapunovs method for equations on time scales, using scalar, vector and matrix-valued auxiliary functions. The third approach is the application of auxiliary functions (scalar, vector, or matrix-valued ones) in combination with differential dynamic inequalities. This is an alternative comparison method, developed for time continuous and time discrete systems.In recent decades, automatic control theory in the study of air- and spacecraft dynamics and in other areas of modern applied mathematics has encountered problems in the analysis of the behavior of solutions of time continuous-discrete linear and/or nonlinear equations of perturbed motion. In the book “Men of Mathematics,” 1937, E.T.Bell wrote: “A major task of mathematics today is to harmonize the continuous and the discrete, to include them in one comprehensive mathematics, and to eliminate obscurity from both.”Mathematical analysis on time scales accomplishes exactly this. This research has potential applications in such areas as theoretical and applied mechanics, neurodynamics, mathematical biology and finance among others.
Author : Robert Rosen
Publisher :
ISBN 13 :
Total Pages : 328 pages
Book Rating : 4.3/5 (91 download)
Download or read book Dynamical System Theory in Biology written by Robert Rosen and published by . This book was released on 1970 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Nam Parshad Bhatia
Publisher :
ISBN 13 :
Total Pages : 416 pages
Book Rating : 4.:/5 (67 download)
Download or read book Dynamical Systems written by Nam Parshad Bhatia and published by . This book was released on 1967 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Norman MacDonald
Publisher : Cambridge University Press
ISBN 13 : 9780521048163
Total Pages : 256 pages
Book Rating : 4.0/5 (481 download)
Download or read book Biological Delay Systems written by Norman MacDonald and published by Cambridge University Press. This book was released on 2008-01-03 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: In studying the dynamics of populations, whether of animals, plants or cells, it is crucial to allow for delays such as those due to gestation, maturation or transport. This book deals with a fundamental question in the analysis of the effects of delays, namely whether they affect the stability of steady states.
Author :
Publisher : Springer Science & Business Media
ISBN 13 : 0817644865
Total Pages : 516 pages
Book Rating : 4.8/5 (176 download)
Download or read book Stability of Dynamical Systems written by and published by Springer Science & Business Media. This book was released on 2008 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the analysis and synthesis of contemporary systems, engineers and scientists are frequently confronted with increasingly complex models that may simultaneously include components whose states evolve along continuous time and discrete instants; components whose descriptions may exhibit nonlinearities, time lags, transportation delays, hysteresis effects, and uncertainties in parameters; and components that cannot be described by various classical equations, as in the case of discrete-event systems, logic commands, and Petri nets. The qualitative analysis of such systems requires results for finite-dimensional and infinite-dimensional systems; continuous-time and discrete-time systems; continuous continuous-time and discontinuous continuous-time systems; and hybrid systems involving a mixture of continuous and discrete dynamics. Filling a gap in the literature, this textbook presents the first comprehensive stability analysis of all the major types of system models described above. Throughout the book, the applicability of the developed theory is demonstrated by means of many specific examples and applications to important classes of systems, including digital control systems, nonlinear regulator systems, pulse-width-modulated feedback control systems, artificial neural networks (with and without time delays), digital signal processing, a class of discrete-event systems (with applications to manufacturing and computer load balancing problems) and a multicore nuclear reactor model. The book covers the following four general topics: * Representation and modeling of dynamical systems of the types described above * Presentation of Lyapunov and Lagrange stability theory for dynamical systems defined on general metric spaces * Specialization of this stability theory to finite-dimensional dynamical systems * Specialization of this stability theory to infinite-dimensional dynamical systems Replete with exercises and requiring basic knowledge of linear algebra, analysis, and differential equations, the work may be used as a textbook for graduate courses in stability theory of dynamical systems. The book may also serve as a self-study reference for graduate students, researchers, and practitioners in applied mathematics, engineering, computer science, physics, chemistry, biology, and economics.
Author : Bjarne S. Jensen
Publisher : Springer Science & Business Media
ISBN 13 : 9401110360
Total Pages : 358 pages
Book Rating : 4.4/5 (11 download)
Download or read book The Dynamic Systems of Basic Economic Growth Models written by Bjarne S. Jensen and published by Springer Science & Business Media. This book was released on 2012-02-02 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two central problems in the pure theory of economic growth are analysed in this monograph: 1) the dynamic laws governing the economic growth processes, 2) the kinematic and geometric properties of the set of solutions to the dynamic systems. With allegiance to rigor and the emphasis on the theoretical fundamentals of prototype mathematical growth models, the treatise is written in the theorem-proof style. To keep the exposition orderly and as smooth as possible, the economic analysis has been separated from the purely mathematical issues, and hence the monograph is organized in two books. Regarding the scope and content of the two books, an "Introduction and Over view" has been prepared to offer both motivation and a brief account. The introduc tion is especially designed to give a recapitulation of the mathematical theory and results presented in Book II, which are used as the unifying mathematical framework in the analysis and exposition of the different economic growth models in Book I. Economists would probably prefer to go directly to Book I and proceed by consult ing the mathematical theorems of Book II in confirming the economic theorems in Book I. Thereby, both the independence and interdependence of the economic and mathematical argumentations are respected.
Author : Ivan Maly
Publisher : Springer Nature
ISBN 13 : 3030791467
Total Pages : 200 pages
Book Rating : 4.0/5 (37 download)
Download or read book Quantitative Elements of General Biology written by Ivan Maly and published by Springer Nature. This book was released on 2021-08-28 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph sketches out a broad spectrum of problems (from evolution and metabolism to morphogenesis and biogeographical dynamics) whose solution has been impacted by mathematical models. Each of the selected examples has led to the recognition—and set direction to further study—of certain fundamental but unintuitive properties of biological systems, such as the making and breaking of specific symmetries that underlie morphogenesis. Whether they are long-established or only recently accepted, these models are selected for being thought-provoking and illuminating both the achievements and the gaps in our current understanding of the given area of biology. The selection of models is also meant to bring to the fore the existing degree of unity in the quantitative approach to diverse general-biological questions and in the systems-level properties that are discovered across the levels of biological organization. It is the thesis of this book that further cultivation of such unity is a way forward as we progress toward a general theory of living matter. This is an ideal book for students (in the broadest sense) of biology who wish to learn from this attempt to present the exemplary models, their methodological lessons, and the outline of a unified theory of living matter that is now beginning to emerge. In addition to a doctoral student preparing for quantitative biology research, this reader could also be an interdisciplinary scientist transitioning to biology. The latter—for example, a physicist or an engineer—may be comfortable with the mathematical apparatus and prepared to quickly enter the intended area of work, but desires a broader foundation in biology from the quantitative perspective.
Author : Marta Bertolaso
Publisher : Springer
ISBN 13 : 3030011984
Total Pages : 258 pages
Book Rating : 4.0/5 (3 download)
Download or read book Biological Robustness written by Marta Bertolaso and published by Springer. This book was released on 2019-01-04 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume reviews examples and notions of robustness at several levels of biological organization. It tackles many philosophical and conceptual issues and casts an outlook on the future challenges of robustness studies in the context of a practice-oriented philosophy of science. The focus of discussion is on concrete case studies. These highlight the necessity of a level-dependent description of robust biological behaviors.Experts from the neurosciences, biochemistry, ecology, biology, and the history and the philosophy of life sciences provide a multiplex perspective on the topic. Contributions span from protein folding, to cell-level robustness, to organismal and developmental robustness, to sensorimotor systems, up to the robustness of ecological systems.Several chapters detail neurobiological case-studies. The brain, the poster child of plasticity in biology, offers multiple examples of robustness. Neurobiology explores the importance of temporal organization and multiscalarity in making this robustness-with-plasticity possible. The discussion also includes structures well beyond the brain, such as muscles and the complex feedback loops involved in the peculiar robustness of music perception. Overall, the volume grounds general reflections upon concrete case studies, opening to all the life sciences but also to non-biological and bio-inspired fields such as post-modern engineering. It will appeal to researchers, students, as well as non-expert readers.
Author : Lev D. Beklemishev
Publisher : Elsevier
ISBN 13 : 9780080954844
Total Pages : 978 pages
Book Rating : 4.9/5 (548 download)
Download or read book Provability, Computability and Reflection written by Lev D. Beklemishev and published by Elsevier. This book was released on 2000-04-01 with total page 978 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provability, Computability and Reflection
Author : Firdaus E. Udwadia
Publisher : CRC Press
ISBN 13 : 0203694589
Total Pages : 450 pages
Book Rating : 4.2/5 (36 download)
Download or read book Dynamical Systems and Control written by Firdaus E. Udwadia and published by CRC Press. This book was released on 2004-05-10 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 11th International Workshop on Dynamics and Control brought together scientists and engineers from diverse fields and gave them a venue to develop a greater understanding of this discipline and how it relates to many areas in science, engineering, economics, and biology. The event gave researchers an opportunity to investigate ideas and techniq
Author : Joshua M. Epstein
Publisher : CRC Press
ISBN 13 : 0429973039
Total Pages : 134 pages
Book Rating : 4.4/5 (299 download)
Download or read book Nonlinear Dynamics, Mathematical Biology, And Social Science written by Joshua M. Epstein and published by CRC Press. This book was released on 2018-03-08 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on a series of lectures on mathematical biology, the essential dynamics of complex and crucially important social systems, and the unifying power of mathematics and nonlinear dynamical systems theory.
Author : A. D. Breck
Publisher : Springer Science & Business Media
ISBN 13 : 146841965X
Total Pages : 360 pages
Book Rating : 4.4/5 (684 download)
Download or read book Biology, History, and Natural Philosophy written by A. D. Breck and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a world that peers over the brink of disaster more often than not it is difficul t to find specific assignments for the scholarly community. One speaks of peace and brotherhood only to realize that for many the only real hope of making a contribution may seem to be in a field of scientific specialization seemingly irrelevant to social causes and problems. Yet the history of man since the beginnings of science in the days of the Greeks does not support this gloomy thesis. Time and again we have seen science precipitate social trends or changes in the humanistic beliefs that have a significant effect on. the scientific community. Not infrequently the theoretical scientist, triggered by society's changing goals and understandings, finds ultimate satisfaction in the work of his colleagues in engineering and the other applied fields. Thus the major debate in mid-nineteenth century in which the evidence of natural history and geology at variance with the Biblical feats provided not only courage to a timid Darwin but the kind of audience that was needed to fit his theories into the broad public dialogue on these topics. The impact of "Darwinism" was felt far beyond the scientific community. It affected social thought, upset religious certainties and greatly affected the teaching of science.
Author : James D. Meiss
Publisher : SIAM
ISBN 13 : 161197464X
Total Pages : 392 pages
Book Rating : 4.6/5 (119 download)
Download or read book Differential Dynamical Systems, Revised Edition written by James D. Meiss and published by SIAM. This book was released on 2017-01-24 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential equations are the basis for models of any physical systems that exhibit smooth change. This book combines much of the material found in a traditional course on ordinary differential equations with an introduction to the more modern theory of dynamical systems. Applications of this theory to physics, biology, chemistry, and engineering are shown through examples in such areas as population modeling, fluid dynamics, electronics, and mechanics.? Differential Dynamical Systems begins with coverage of linear systems, including matrix algebra; the focus then shifts to foundational material on nonlinear differential equations, making heavy use of the contraction-mapping theorem. Subsequent chapters deal specifically with dynamical systems concepts?flow, stability, invariant manifolds, the phase plane, bifurcation, chaos, and Hamiltonian dynamics. This new edition contains several important updates and revisions throughout the book. Throughout the book, the author includes exercises to help students develop an analytical and geometrical understanding of dynamics. Many of the exercises and examples are based on applications and some involve computation; an appendix offers simple codes written in Maple?, Mathematica?, and MATLAB? software to give students practice with computation applied to dynamical systems problems.
