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Unstable Singularities And Randomness
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Book Synopsis Unstable Singularities and Randomness by : Joseph P. Zbilut
Download or read book Unstable Singularities and Randomness written by Joseph P. Zbilut and published by Elsevier. This book was released on 2004-06-18 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: Traditionally, randomness and determinism have been viewed as being diametrically opposed, based on the idea that causality and determinism is complicated by "noise. Although recent research has suggested that noise can have a productive role, it still views noise as a separate entity. This work suggests that this not need to be so. In an informal presentation, instead, the problem is traced to traditional assumptions regarding dynamical equations and their need for unique solutions. If this requirement is relaxed, the equations admit for instability and stochasticity evolving from the dynamics itself. This allows for a decoupling from the "burden of the past and provides insights into concepts such as predictability, irreversibility, adaptability, creativity and multi-choice behaviour. This reformulation is especially relevant for biological and social sciences whose need for flexibility a propos of environmental demands is important to understand: this suggests that many system models are based on randomness and nondeterminism complicated with a little bit of determinism to ultimately achieve concurrent flexibility and stability. As a result, the statistical perception of reality is seen as being a more productive tool than classical determinism. The book addresses scientists of all disciplines, with special emphasis at making the ideas more accessible to scientists and students not traditionally involved in the formal mathematics of the physical sciences. The implications may be of interest also to specialists in the philosophy of science.·Presents the ideas in an informal language.·Provides tools for exploring data for singularities.
Book Synopsis Mathematics as a Laboratory Tool by : John Milton
Download or read book Mathematics as a Laboratory Tool written by John Milton and published by Springer Nature. This book was released on 2021-08-11 with total page 650 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition of Mathematics as a Laboratory Tool reflects the growing impact that computational science is having on the career choices made by undergraduate science and engineering students. The focus is on dynamics and the effects of time delays and stochastic perturbations (“noise”) on the regulation provided by feedback control systems. The concepts are illustrated with applications to gene regulatory networks, motor control, neuroscience and population biology. The presentation in the first edition has been extended to include discussions of neuronal excitability and bursting, multistability, microchaos, Bayesian inference, second-order delay differential equations, and the semi-discretization method for the numerical integration of delay differential equations. Every effort has been made to ensure that the material is accessible to those with a background in calculus. The text provides advanced mathematical concepts such as the Laplace and Fourier integral transforms in the form of Tools. Bayesian inference is introduced using a number of detective-type scenarios including the Monty Hall problem.
Book Synopsis Nonlinear Dynamics in Physiology by : Mark Shelhamer
Download or read book Nonlinear Dynamics in Physiology written by Mark Shelhamer and published by World Scientific. This book was released on 2007 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a compilation of mathematical-computational tools that are used to analyze experimental data. The techniques presented are those that have been most widely and successfully applied to the analysis of physiological systems, and address issues such as randomness, determinism, dimension, and nonlinearity. In addition to bringing together the most useful methods, sufficient mathematical background is provided to enable non-specialists to understand and apply the computational techniques. Thus, the material will be useful to life-science investigators on several levels, from physiologists to bioengineer.Initial chapters present background material on dynamic systems, statistics, and linear system analysis. Each computational technique is demonstrated with examples drawn from physiology, and several chapters present case studies from oculomotor control, neuroscience, cardiology, psychology, and epidemiology. Throughout the text, historical notes give a sense of the development of the field and provide a perspective on how the techniques were developed and where they might lead. The overall approach is based largely on the analysis of trajectories in the state space, with emphasis on time-delay reconstruction of state-space trajectories. The goal of the book is to enable readers to apply these methods to their own research.
Book Synopsis Informative Psychometric Filters by : Robert A. M. Gregson
Download or read book Informative Psychometric Filters written by Robert A. M. Gregson and published by ANU E Press. This book was released on 2006-08-01 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a series of case studies with a common theme. Some refer closely to previous work by the author, but contrast with how they have been treated before, and some are new. Comparisons are drawn using various sorts of psychological and psychophysiological data that characteristically are particularly nonlinear, non-stationary, far from equilibrium and even chaotic, exhibiting abrupt transitions that are both reversible and irreversible, and failing to meet metric properties. A core idea is that both the human organism and the data analysis procedures used are filters, that may variously preserve, transform, distort or even destroy information of significance.
Book Synopsis Physics Of Emergence And Organization by : Ignazio Licata
Download or read book Physics Of Emergence And Organization written by Ignazio Licata and published by World Scientific. This book was released on 2008-06-09 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a state-of-the-art review on the Physics of Emergence. The challenge of complexity is to focus on the description levels of the observer in context-dependent situations. Emergence is not only an heuristic approach to complexity, but it also urges us to face a much deeper question — what do we think is fundamental in the physical world?This volume provides significant and pioneering contributions based on rigorous physical and mathematical approaches — with particular reference to the syntax of Quantum Physics and Quantum Field Theory — dealing with the bridge-laws and their limitations between Physics and Biology, without failing to discuss the involved epistemological features.Physics of Emergence and Organization is an interdisciplinary source of reference for students and experts whose interests cross over to complexity issues.
Book Synopsis The Latent Order of Complexity by : Joseph P. Zbilut
Download or read book The Latent Order of Complexity written by Joseph P. Zbilut and published by Nova Publishers. This book was released on 2008 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: The scope of public ignorance concerning how things work inevitably grows explosively. It is unreasonable to expect widespread or detailed understanding even of the many major support systems that make urban life possible (clean water, electrical supply, groceries in markets at all seasons, trash and sewage disposal....). What we don't understand seems 'complex' to us, at least until, with study or practice, we may achieve an occasional 'Ah-Ha!' moment when complexity suddenly reduces to simplicity, and part of our world view changes forever. In this welcome and appealing book the authors, who have achieved stature in both experimental and theoretical sciences, address the grandest 'how things work' issue of them all, viz., the methods and limitations of science itself. They do so in a conversational style accessible to any interested reader.
Download or read book Random Singularity written by P.J. Lawton and published by Lulu.com. This book was released on 2013-09-28 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Science Fiction and Space Short Story Anthology for the imaginative reader and more....
Book Synopsis Developments in Chaos and Complexity Research by : Nicoletta Sala
Download or read book Developments in Chaos and Complexity Research written by Nicoletta Sala and published by Nova Publishers. This book was released on 2008 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the latest leading-edge international research on artificial life, cellular automata, chaos theory, cognition, complexity theory, synchronisation, fractals, genetic algorithms, information systems, metaphors, neural networks, non-linear dynamics, parallel computation and synergetics. The unifying feature of this research is the tie to chaos and complexity.
Book Synopsis Singularities: Formation, Structure and Propagation by : J. Eggers
Download or read book Singularities: Formation, Structure and Propagation written by J. Eggers and published by Cambridge University Press. This book was released on 2015-09-10 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores a wide range of singular phenomena, providing mathematical tools for understanding them and highlighting their common features.
Book Synopsis Unstable And Turbulent Motion Of Fluid - Proceedings Of The Conference by : S Kida
Download or read book Unstable And Turbulent Motion Of Fluid - Proceedings Of The Conference written by S Kida and published by World Scientific. This book was released on 1993-10-29 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book represents a collection of papers presented at the 2015 International Conference on Advanced Material Engineering (AME 2015), held in Guangzhou, China. With the rapid development of industry and information technology, researchers across all fields began to discuss new ideas related to materials science and manufacturing technology. This proceedings provide a valuable insight from researchers and scientists who exchanged their ideas in the conference.
Book Synopsis Handbook of Dynamical Systems by : B. Hasselblatt
Download or read book Handbook of Dynamical Systems written by B. Hasselblatt and published by Elsevier. This book was released on 2002-08-20 with total page 1231 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volumes 1A and 1B.These volumes give a comprehensive survey of dynamics written by specialists in the various subfields of dynamical systems. The presentation attains coherence through a major introductory survey by the editors that organizes the entire subject, and by ample cross-references between individual surveys.The volumes are a valuable resource for dynamicists seeking to acquaint themselves with other specialties in the field, and to mathematicians active in other branches of mathematics who wish to learn about contemporary ideas and results dynamics. Assuming only general mathematical knowledge the surveys lead the reader towards the current state of research in dynamics.Volume 1B will appear 2005.
Download or read book Progress in Optics written by and published by Elsevier. This book was released on 2009-06-20 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the forty-eight years that have gone by since the first volume of Progress in Optics was published, optics has become one of the most dynamic fields of science. The volumes in this series which have appeared up to now contain more than 300 review articles by distinguished research workers, which have become permanent records for many important developments. - 3D optical microscopy - Transformation optics and geometry of light - Photorefractive solitons - Stimulated scattering effects - Optical vortices and polarization singularities - Quantum feedforward control of light
Book Synopsis Singularities and Groups in Bifurcation Theory by : Martin Golubitsky
Download or read book Singularities and Groups in Bifurcation Theory written by Martin Golubitsky and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has been written in a frankly partisian spirit-we believe that singularity theory offers an extremely useful approach to bifurcation prob lems and we hope to convert the reader to this view. In this preface we will discuss what we feel are the strengths of the singularity theory approach. This discussion then Ieads naturally into a discussion of the contents of the book and the prerequisites for reading it. Let us emphasize that our principal contribution in this area has been to apply pre-existing techniques from singularity theory, especially unfolding theory and classification theory, to bifurcation problems. Many ofthe ideas in this part of singularity theory were originally proposed by Rene Thom; the subject was then developed rigorously by John Matherand extended by V. I. Arnold. In applying this material to bifurcation problems, we were greatly encouraged by how weil the mathematical ideas of singularity theory meshed with the questions addressed by bifurcation theory. Concerning our title, Singularities and Groups in Bifurcation Theory, it should be mentioned that the present text is the first volume in a two-volume sequence. In this volume our emphasis is on singularity theory, with group theory playing a subordinate role. In Volume II the emphasis will be more balanced. Having made these remarks, Iet us set the context for the discussion of the strengths of the singularity theory approach to bifurcation. As we use the term, bifurcation theory is the study of equations with multiple solutions.
Book Synopsis Random Perturbations of Dynamical Systems by : Yuri Kifer
Download or read book Random Perturbations of Dynamical Systems written by Yuri Kifer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematicians often face the question to which extent mathematical models describe processes of the real world. These models are derived from experimental data, hence they describe real phenomena only approximately. Thus a mathematical approach must begin with choosing properties which are not very sensitive to small changes in the model, and so may be viewed as properties of the real process. In particular, this concerns real processes which can be described by means of ordinary differential equations. By this reason different notions of stability played an important role in the qualitative theory of ordinary differential equations commonly known nowdays as the theory of dynamical systems. Since physical processes are usually affected by an enormous number of small external fluctuations whose resulting action would be natural to consider as random, the stability of dynamical systems with respect to random perturbations comes into the picture. There are differences between the study of stability properties of single trajectories, i. e. , the Lyapunov stability, and the global stability of dynamical systems. The stochastic Lyapunov stability was dealt with in Hasminskii [Has]. In this book we are concerned mainly with questions of global stability in the presence of noise which can be described as recovering parameters of dynamical systems from the study of their random perturbations. The parameters which is possible to obtain in this way can be considered as stable under random perturbations, and so having physical sense. -1- Our set up is the following.
Book Synopsis Applications of Random Matrices in Physics by : Édouard Brezin
Download or read book Applications of Random Matrices in Physics written by Édouard Brezin and published by Springer Science & Business Media. This book was released on 2006-03-03 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the NATO Advanced Study Institute on Applications of Random Matrices in Physics, Les Houches, France, 6-25 June 2004
Book Synopsis Systems, Models and Feedback: Theory and Applications by : A. Isidori
Download or read book Systems, Models and Feedback: Theory and Applications written by A. Isidori and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is a great honor and privilege to have this opportunity of celebrating the 65th birthday of Professor Antonio Ruberti by holding an International Conference on Systems, Models and Feedback. The conference, and this volume which contains its proceedings, is a tribute to Professor Ruberti in acknowledgement of his major contributions to System Theory, at a time in which this area was emerging and consolidat ing as an independent discipline, his role as a leader of the Italian academic community, his activity in promoting and fostering close scientific relations between Italian and U.S. scholars in Systems and Control. The format of this conference is inspired by a series of seminars initi ated exactly twenty years ago under the direction of Professor Ruberti, in Italy, and Professor R. R. Mohler, in the U.S. By bringing together many authoritative talents from both countries, these seminars were instrumental in promoting the expansion of System Theory in new areas, notably that of Nonlinear Control, and were the key to successful scientific careers for many of the younger attendants.
Book Synopsis Singularities of the Euler Equation and Hydrodynamic Stability by : Institute for Computer Applications in Science and Engineering
Download or read book Singularities of the Euler Equation and Hydrodynamic Stability written by Institute for Computer Applications in Science and Engineering and published by . This book was released on 1992 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
