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Author : I. Stakgold
Publisher : Springer
ISBN 13 : 3540385584
Total Pages : 368 pages
Book Rating : 4.5/5 (43 download)
Download or read book Nonlinear Problems in the Physical Sciences and Biology written by I. Stakgold and published by Springer. This book was released on 2006-11-15 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : I. Stakgold
Publisher :
ISBN 13 : 9783662182024
Total Pages : 372 pages
Book Rating : 4.1/5 (82 download)
Download or read book Nonlinear Problems in the Physical Sciences and Biology written by I. Stakgold and published by . This book was released on 2014-01-15 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : BATELLE SUMMER INSTITUTE.
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (846 download)
Download or read book NONLINEAR PROBLEMS IN THE PHYSICAL SCIENCES AND BIOLOGY- PROCEEDINGS OF A BATTELLE SUMMER INSTITUTE. written by BATELLE SUMMER INSTITUTE. and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Battelle Seattle Research Center
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (959 download)
Download or read book Nonlinear Problems in the Physical Sciences and Biology written by Battelle Seattle Research Center and published by . This book was released on 1973 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Richard H. Enns
Publisher : Springer Science & Business Media
ISBN 13 : 146844106X
Total Pages : 609 pages
Book Rating : 4.4/5 (684 download)
Download or read book Nonlinear Phenomena in Physics and Biology written by Richard H. Enns and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 609 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Advanced Study Institute (ASI) on Nonlinear Phenomena-in Physics and Biology was held at the Banff Centre, Banff, Alberta, Canada, from 17 - 29 August, 1980. The Institute was made possible through funding by the North Atlantic Treaty Organization (who sup plied the major portion of the financial aid), the National Research and Engineering Council of Canada, and Simon Fraser University. The availability of the Banff Centre was made possible through the co sponsorship (with NATO) of the ASI by the Canadian Association of Physicists. 12 invited lecturers and 82 other participants attended the Institute. Except for two lectures on nonlinear waves by Norman Zabusky, which were omitted because it was felt that they already had been exhaustively treated in the available literature, this volume contains the entire text of the invited lectures. In addition, short reports on some of the contributed talks have also been included. The rationale for the ASI and this resulting volume was that many of the hardest problems and most interesting phenomena being studied by scientists today ar.e nonlinear in nature. The nonlinear models involved often span several different disciplines, °a simple example being the Volterra-type model in population dynamics which has its analogue in nonlinear optics and plasma physics (the 3-wave problem), in the discussion of the social behavior of animals, and in biological competition and selection at the molecular level.
Author : G. Nicolis
Publisher : Cambridge University Press
ISBN 13 : 9780521467827
Total Pages : 274 pages
Book Rating : 4.4/5 (678 download)
Download or read book Introduction to Nonlinear Science written by G. Nicolis and published by Cambridge University Press. This book was released on 1995-06-22 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to develop a unified approach to nonlinear science, which does justice to its multiple facets and to the diversity and richness of the concepts and tools developed in this field over the years. Nonlinear science emerged in its present form following a series of closely related and decisive analytic, numerical and experimental developments that took place over the past three decades. It appeals to an extremely large variety of subject areas, but, at the same time, introduces into science a new way of thinking based on a subtle interplay between qualitative and quantitative techniques, topological and metric considerations and deterministic and statistical views. Special effort has been made throughout the book to illustrate both the development of the subject and the mathematical techniques, by reference to simple models. Each chapter concludes with a set of problems. This book will be of great value to graduate students in physics, applied mathematics, chemistry, engineering and biology taking courses in nonlinear science and its applications.
Author : Steven H Strogatz
Publisher : CRC Press
ISBN 13 : 042967628X
Total Pages : 616 pages
Book Rating : 4.4/5 (296 download)
Download or read book Nonlinear Dynamics and Chaos written by Steven H Strogatz and published by CRC Press. This book was released on 2024-01-16 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of this third edition of Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering is the same as previous editions: to provide a good foundation - and a joyful experience - for anyone who’d like to learn about nonlinear dynamics and chaos from an applied perspective. 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. The prerequisites are comfort with multivariable calculus and linear algebra, as well as a first course in physics. Ideas from probability, complex analysis, and Fourier analysis are invoked, but they're either worked out from scratch or can be safely skipped (or accepted on faith). Changes to this edition include substantial exercises about conceptual models of climate change, an updated treatment of the SIR model of epidemics, and amendments (based on recent research) about the Selkov model of oscillatory glycolysis. Equations, diagrams, and every word has been reconsidered and often revised. There are also about 50 new references, many of them from the recent literature. The most notable change is a new chapter. Chapter 13 is about the Kuramoto model. The Kuramoto model is an icon of nonlinear dynamics. Introduced in 1975 by the Japanese physicist Yoshiki Kuramoto, his elegant model is one of the rare examples of a high-dimensional nonlinear system that can be solved by elementary means. Students and teachers have embraced the book in the past, its general approach and framework continue to be sound.
Author : Steven H. Strogatz
Publisher : CRC Press
ISBN 13 : 0429680163
Total Pages : 935 pages
Book Rating : 4.4/5 (296 download)
Download or read book Nonlinear Dynamics and Chaos with Student Solutions Manual written by Steven H. Strogatz and published by CRC Press. This book was released on 2018-09-21 with total page 935 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : K.H. Spatschek
Publisher : Springer Science & Business Media
ISBN 13 : 1489913432
Total Pages : 476 pages
Book Rating : 4.4/5 (899 download)
Download or read book Nonlinear Coherent Structures in Physics and Biology written by K.H. Spatschek and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the Proceedings of the NATO Advanced Research Workshop (ARW) and Emil-Warburg-Symposium (EWS) "Nonlinear Coherent Structures in Phy sics and Biology" held at the University of Bayreuth from June 1 -4, 1993. Director of the ARW was K. H. Spatschek, while F.G. Mertens acted as the co-director, host, and organizer of the EWS. The other members of the scientific organizing committee were A.R. Bishop (Los Alamos), J.C. Eilbeck (Edinburgh), and M. Remoissenet (Dijon). This was the eighth meeting in a series of interdisciplinary workshops founded by our French colleagues who had organized all the previous workshops, e.g. 1989 in Montpel lier and 1991 in Dijon. We were asked to organize the meeting this time in Germany. Of course, we wanted to keep the character defined by the previous meetings, which were always characterized by an open and friendly atmosphere, being not too large in quantity, but high in quality. This time altogether 103 participants attended the workshop. During the past years most of the participants met several times and discussed problems connected with the generation of nonlinear coherent structures in physics and biology.
Author : Alwyn Scott
Publisher : Routledge
ISBN 13 : 1135455589
Total Pages : 1107 pages
Book Rating : 4.1/5 (354 download)
Download or read book Encyclopedia of Nonlinear Science written by Alwyn Scott and published by Routledge. This book was released on 2006-05-17 with total page 1107 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 438 alphabetically-arranged essays, this work provides a useful overview of the core mathematical background for nonlinear science, as well as its applications to key problems in ecology and biological systems, chemical reaction-diffusion problems, geophysics, economics, electrical and mechanical oscillations in engineering systems, lasers and nonlinear optics, fluid mechanics and turbulence, and condensed matter physics, among others.
Author : Aziz Belmiloudi
Publisher : Springer Science & Business Media
ISBN 13 : 1848003447
Total Pages : 509 pages
Book Rating : 4.8/5 (48 download)
Download or read book Stabilization, Optimal and Robust Control written by Aziz Belmiloudi and published by Springer Science & Business Media. This book was released on 2008-08-17 with total page 509 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stabilization, Optimal and Robust Control develops robust control of infinite-dimensional dynamical systems derived from time-dependent coupled PDEs associated with boundary-value problems. Rigorous analysis takes into account nonlinear system dynamics, evolutionary and coupled PDE behaviour and the selection of function spaces in terms of solvability and model quality. Mathematical foundations are provided so that the book remains accessible to the non-control-specialist. Following chapters giving a general view of convex analysis and optimization and robust and optimal control, problems arising in fluid mechanical, biological and materials scientific systems are laid out in detail. The combination of mathematical fundamentals with application of current interest will make this book of much interest to researchers and graduate students looking at complex problems in mathematics, physics and biology as well as to control theorists.
Author : Erik Mosekilde
Publisher : World Scientific
ISBN 13 : 9789812382771
Total Pages : 396 pages
Book Rating : 4.3/5 (827 download)
Download or read book Topics in Nonlinear Dynamics written by Erik Mosekilde and published by World Scientific. This book was released on 2003-03-20 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: Through a series of examples from physics, engineering, biology and economics, this book illustrates the enormous potential for application of ideas and concepts from nonlinear dynamics and chaos theory. The overlap with examples published in other books is virtually equal to zero. The book takes the reader from detailed studies of bifurcation structures of relativity simple models to pattern formation in spatially extended systems. The book also discusses the different perspectives that nonlinear dynamics brings to different fields of science.
Author : S. K. Malik
Publisher :
ISBN 13 :
Total Pages : 1114 pages
Book Rating : 4.3/5 (91 download)
Download or read book Nonlinear Phenomena in Biological & Physical Sciences written by S. K. Malik and published by . This book was released on 2000 with total page 1114 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contributed articles on nonlinear mathematical applications published as an offshoot of a seminar held at Amritsar in 1998.
Author : P.L. Sachdev
Publisher : CRC Press
ISBN 13 : 1000611418
Total Pages : 172 pages
Book Rating : 4.0/5 (6 download)
Download or read book Self-Similarity and Beyond written by P.L. Sachdev and published by CRC Press. This book was released on 2019-06-13 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinearity plays a major role in the understanding of most physical, chemical, biological, and engineering sciences. Nonlinear problems fascinate scientists and engineers, but often elude exact treatment. However elusive they may be, the solutions do exist-if only one perseveres in seeking them out. Self-Similarity and Beyond presents
Author : L. Schimansky-Geier
Publisher : World Scientific
ISBN 13 : 9812706917
Total Pages : 454 pages
Book Rating : 4.8/5 (127 download)
Download or read book Analysis and Control of Complex Nonlinear Processes in Physics, Chemistry and Biology written by L. Schimansky-Geier and published by World Scientific. This book was released on 2007 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear dynamics of complex processes is an active research field with large numbers of publications in basic research, and broad applications from diverse fields of science. Nonlinear dynamics as manifested by deterministic and stochastic evolution models of complex behavior has entered statistical physics, physical chemistry, biophysics, geophysics, astrophysics, theoretical ecology, semiconductor physics and -optics, etc. This field of research has induced a new terminology in science connected with new questions, problems, solutions and methods. New scenarios have emerged for spatio-temporal structures in dynamical systems far from equilibrium. Their analysis and possible control are intriguing and challenging aspects of the current research. The duality of fundamental and applied research is a focal point of its main attractivity and fascination. Basic topics and foundations are always linked to concrete and precise examples. Models and measurements of complex nonlinear processes evoke and provoke new fundamental questions that diversify and broaden the mathematical concepts and tools. In return, new mathematical approaches to modeling and analysis enlarge the scope and efficiency of applied research.
Author : Erik Mosekilde
Publisher : Springer Science & Business Media
ISBN 13 : 3642792901
Total Pages : 300 pages
Book Rating : 4.6/5 (427 download)
Download or read book Modelling the Dynamics of Biological Systems written by Erik Mosekilde and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: The development of a proper description of the living world today stands as one of the most significant challenges to physics. A variety of new experimental techniques in molecular biology, microbiol ogy, physiology and other fields of biological research constantly expand our knowledge and enable us to make increasingly more detailed functional and structural descriptions. Over the past decades, the amount and complexity of available information have multiplied dramatically, while at the same time our basic understanding of the nature of regulation, behavior, morphogenesis and evolution in the living world has made only modest progress. A key obstacle is clearly the proper handling of the available data. This requires a stronger emphasis on mathematical modeling through which the consistency of the adopted explanations can be checked, and general princi ples may be extracted. As an even more serious problem, however, it appears that the proper physical concepts for the development of a theoretically oriented biology have not hitherto been available. Classical mechanics and equilibrium thermody namics, for instance, are inappropriate and useless in some of the most essen tial biological contexts. Fortunately, there is now convincing evidence that the concepts and methods of the newly developed fields of nonlinear dynam ics and complex systems theory, combined with irreversible thermodynamics and far-from-equilibrium statistical mechanics will enable us to move ahead with many of these problems.
Author : Jürgen Parisi
Publisher : Springer Science & Business Media
ISBN 13 : 9783540639954
Total Pages : 394 pages
Book Rating : 4.6/5 (399 download)
Download or read book A Perspective Look at Nonlinear Media written by Jürgen Parisi and published by Springer Science & Business Media. This book was released on 1998-02-26 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concepts of nonlinear physics are applied to an increasing number of research disciplines. With this volume, the editors offer a selection of articles on nonlinear topics in progress, ranging from physics and chemistry to biology and some applications of social science. The book covers quantum optics, electron crystallization, cellular or flow patterns in fluids and in granular media, biological systems, and the control of brain structures via neuronal excitation. Chemical patterns are looked at both in bulk solutions and on surfaces in heterogeneous systems. From regular structures, the authors turn to the more complex behavior in biology and physics, such as hydrodynamical turbulence, low-dimensional dynamics in solid-state physics, and gravity.
