Nonlinear Dynamics with Polymers

Nonlinear Dynamics with Polymers PDF Author: John A. Pojman
Publisher: John Wiley & Sons
ISBN: 352763262X
Category : Science
Languages : en
Pages : 391

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Book Description
Closing a gap in the literature, this is the first comprehensive handbook on this modern and important polymer topic. Edited by highly experienced and top scientists in the field, this ready reference covers all aspects, including material science, biopolymers, gels, phase separating systems, frontal polymerization and much more. The introductory chapter offers the perfect starting point for the non-expert.

Nonlinear Dynamics with Polymers

Nonlinear Dynamics with Polymers PDF Author: John A. Pojman
Publisher: John Wiley & Sons
ISBN: 352763262X
Category : Science
Languages : en
Pages : 391

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Book Description
Closing a gap in the literature, this is the first comprehensive handbook on this modern and important polymer topic. Edited by highly experienced and top scientists in the field, this ready reference covers all aspects, including material science, biopolymers, gels, phase separating systems, frontal polymerization and much more. The introductory chapter offers the perfect starting point for the non-expert.

Nonlinear Dynamics in Polymer Science

Nonlinear Dynamics in Polymer Science PDF Author: Alexei R. Khokhlov
Publisher: Wiley-VCH
ISBN: 9783527301393
Category : Technology & Engineering
Languages : en
Pages : 0

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Book Description
Bringing together scientists working in different fields, the International Conference POLYNON 99 held in Moscow celebrated the "marriage" between polymer science and nonlinear dynamics to be one of the most important topics of the 21st century. This Volume of Macromolecular Symposia features selected contributions with respect to physics and chemistry of polymers, nonlinear chemistry and physics in non-polymeric systems, and cross-disciplinary studies attempting to bridge these two fields.

Nonlinear Dynamics in Polymer Science

Nonlinear Dynamics in Polymer Science PDF Author: Alexei R. Khokhlov
Publisher: Wiley-VCH
ISBN: 9783527301393
Category : Technology & Engineering
Languages : en
Pages : 296

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Book Description
Bringing together scientists working in different fields, the International Conference POLYNON 99 held in Moscow celebrated the "marriage" between polymer science and nonlinear dynamics to be one of the most important topics of the 21st century. This Volume of Macromolecular Symposia features selected contributions with respect to physics and chemistry of polymers, nonlinear chemistry and physics in non-polymeric systems, and cross-disciplinary studies attempting to bridge these two fields.

An Introduction to Nonlinear Chemical Dynamics

An Introduction to Nonlinear Chemical Dynamics PDF Author: Irving R. Epstein
Publisher: Oxford University Press
ISBN: 0198025661
Category : Science
Languages : en
Pages : 407

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Book Description
Just a few decades ago, chemical oscillations were thought to be exotic reactions of only theoretical interest. Now known to govern an array of physical and biological processes, including the regulation of the heart, these oscillations are being studied by a diverse group across the sciences. This book is the first introduction to nonlinear chemical dynamics written specifically for chemists. It covers oscillating reactions, chaos, and chemical pattern formation, and includes numerous practical suggestions on reactor design, data analysis, and computer simulations. Assuming only an undergraduate knowledge of chemistry, the book is an ideal starting point for research in the field. The book begins with a brief history of nonlinear chemical dynamics and a review of the basic mathematics and chemistry. The authors then provide an extensive overview of nonlinear dynamics, starting with the flow reactor and moving on to a detailed discussion of chemical oscillators. Throughout the authors emphasize the chemical mechanistic basis for self-organization. The overview is followed by a series of chapters on more advanced topics, including complex oscillations, biological systems, polymers, interactions between fields and waves, and Turing patterns. Underscoring the hands-on nature of the material, the book concludes with a series of classroom-tested demonstrations and experiments appropriate for an undergraduate laboratory.

Nonlinear Dynamics in Polymeric Systems

Nonlinear Dynamics in Polymeric Systems PDF Author: John Anthony Pojman
Publisher:
ISBN:
Category : Language Arts & Disciplines
Languages : en
Pages : 374

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Book Description
This book discusses nonlinear dynamics in polymeric systems with a special emphasis on systems of potential utility, including gels, fronts, phase separation, interfacial phenomena, and oscillating reactions.

Nonlinear Dynamics of Interacting Populations

Nonlinear Dynamics of Interacting Populations PDF Author: A. D. Bazykin
Publisher: World Scientific
ISBN: 9789810216856
Category : Science
Languages : en
Pages : 224

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Book Description
This book contains a systematic study of ecological communities of two or three interacting populations. Starting from the Lotka-Volterra system, various regulating factors are considered, such as rates of birth and death, predation and competition. The different factors can have a stabilizing or a destabilizing effect on the community, and their interplay leads to increasingly complicated behavior. Studying and understanding this path to greater dynamical complexity of ecological systems constitutes the backbone of this book. On the mathematical side, the tool of choice is the qualitative theory of dynamical systems — most importantly bifurcation theory, which describes the dependence of a system on the parameters. This approach allows one to find general patterns of behavior that are expected to be observed in ecological models. Of special interest is the reaction of a given model to disturbances of its present state, as well as to changes in the external conditions. This leads to the general idea of “dangerous boundaries” in the state and parameter space of an ecological system. The study of these boundaries allows one to analyze and predict qualitative and often sudden changes of the dynamics — a much-needed tool, given the increasing antropogenic load on the biosphere.As a spin-off from this approach, the book can be used as a guided tour of bifurcation theory from the viewpoint of application. The interested reader will find a wealth of intriguing examples of how known bifurcations occur in applications. The book can in fact be seen as bridging the gap between mathematical biology and bifurcation theory.

The Theory of Polymer Dynamics

The Theory of Polymer Dynamics PDF Author: Masao Doi
Publisher: Oxford University Press
ISBN: 9780198520337
Category : Science
Languages : en
Pages : 420

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Book Description
This book provides a comprehensive account of the modern theory for the dynamical properties of polymer solutions. The theory has undergone dramatic evolution over the last two decades due to the introduction of new methods and concepts that have extended the frontier of theory from dilute solutions in which polymers move independently to concentrated solutions where many polymers converge. Among the properties examined are viscoelasticity, diffusion, dynamic light scattering, and electric birefringence. Nonlinear viscoelasticity is discussed in detail on the basis of molecular dynamical models. The book bridges the gap between classical theory and new developments, creating a consistent picture of polymer solution dynamics over the entire concentration range.

Nonlinear Dynamics

Nonlinear Dynamics PDF Author: H.G Solari
Publisher: Routledge
ISBN: 1351428306
Category : Mathematics
Languages : en
Pages : 369

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Book Description
Nonlinear Dynamics: A Two-Way Trip from Physics to Math provides readers with the mathematical tools of nonlinear dynamics to tackle problems in all areas of physics. The selection of topics emphasizes bifurcation theory and topological analysis of dynamical systems. The book includes real-life problems and experiments as well as exercises and work

Problems of Nonlinear Mechanics and Physics of Materials

Problems of Nonlinear Mechanics and Physics of Materials PDF Author: Igor V. Andrianov
Publisher: Springer
ISBN: 3319922343
Category : Science
Languages : en
Pages : 530

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Book Description
This book presents contributions on the current problems in a number of topical areas of nonlinear dynamics and physics, written by experts from Russia, Ukraine, Israel, Germany, Poland, Italy, the Netherlands, the USA, and France. The book is dedicated to Professor Leonid I. Manevitch, an outstanding scholar in the fields of Mechanics of Solids, Nonlinear Dynamics, and Polymer Physics, on the occasion of his 80th birthday.

A Nonlinear Dynamics Perspective of Wolfram's New Kind of Science

A Nonlinear Dynamics Perspective of Wolfram's New Kind of Science PDF Author: Leon O. Chua
Publisher: World Scientific Publishing Company
ISBN: 9789814390514
Category : Cellular automata
Languages : en
Pages : 0

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Book Description
When not immersed in science, he relaxes by searching for Wagner's leitmotifs, musing over Kandinsky's chaos, and contemplating Wittgenstein's inner thoughts.This penultimate volume contains numerous original, elegant, and surprising results in 1-dimensional cellular automata. Perhaps the most exciting, if not shocking, new result is the discovery that only 82 local rules, out of 256, suffice to predict the time evolution of any of the remaining 174 local rules from an arbitrary initial bit-string configuration. This is contrary to the well-known folklore that 256 local rules are necessary, leading to the new concept of quasi-global equivalence.Another surprising result is the introduction of a simple, yet explicit, infinite bit string called the super string S, which contains all random bit strings of finite length as sub-strings. As an illustration of the mathematical subtlety of this amazing discrete testing signal, the super string S is used to prove mathematically, in a trivial and transparent way, that rule 170 is as chaotic as a coin toss.Yet another unexpected new result, among many others, is the derivation of an explicit basin tree generation formula which provides an analytical relationship between the basin trees of globally-equivalent local rules. This formula allows the symbolic, rather than numerical, generation of the time evolution of any local rule corresponding to any initial bit-string configuration, from one of the 88 globally-equivalent local rules.But perhaps the most provocative idea is the proposal for adopting rule 137, over its three globally-equivalent siblings, including the heretofore more well-known rule 110, as the prototypical universal Turing machine.