Download or read book Solitons in Macromolecular Systems written by Leonid Isaakovich Manevich and published by Nova Publishers. This book was released on 2008 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses the issue of non-linear problems that have dominated the forefront of physics. To analyse these problems, it is necessary to develop mathematical methods to match new concepts. In this connection, for the first time in a long time, the same key notions have attracted the attention of physicists and mathematicians. This book discusses how the role of such excitations in essentially non-linear systems is similar to that of harmonic oscillations and waves in linear physical models.
Download or read book Solitons in Molecular Systems written by Davydov and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approach your problems from the It isn't that they can't see the end and begin with the answers. solution. It is that they can't Then one day, perhaps you will see the problem. find the final question. G.K. Chesterton. The Scandal of 'The Hermit Clad in Crane Father Brown 'The Point of a Pin'. Feathers' in R. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of mono graphs and textbooks on increasingly topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical pro gramming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electric engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "complete integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classifica tion schemes. The draw upon widely different sections of mathematics.
Download or read book Solitons in Molecular Systems written by Davydov and published by Springer. This book was released on 1990-11-30 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Et moi, ..., si j'avait su comment en revenir, One service mathematics has rendered the je n'y serais point alle.' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non The series is divergent; therefore we may be sense'. able to do something with it. Eric T. Bell O. Heaviside Mathematicsis a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics seIVe as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One seIVice topology has rendered mathematical physics ...'; 'One service logic has rendered com puter science ...'; 'One service category theory has rendered mathematics ...'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.
Download or read book Soliton Management in Periodic Systems written by Boris A. Malomed and published by Springer Science & Business Media. This book was released on 2006-07-06 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the past ten years, there has been intensive development in theoretical and experimental research of solitons in periodic media. This book provides a unique and informative account of the state-of-the-art in the field. The volume opens with a review of the existence of robust solitary pulses in systems built as a periodic concatenation of very different elements. Among the most famous examples of this type of systems are the dispersion management in fiber-optic telecommunication links, and (more recently) photonic crystals. A number of other systems belonging to the same broad class of spatially periodic strongly inhomogeneous media (such as the split-step and tandem models) have recently been identified in nonlinear optics, and transmission of solitary pulses in them was investigated in detail. Similar soliton dynamics occurs in temporal-domain counterparts of such systems, where they are subject to strong time-periodic modulation (for instance, the Feshbach-resonance management in Bose-Einstein condensates). Basis results obtained for all these systems are reviewed in the book. This timely work will serve as a useful resource for the soliton community.
Download or read book Dissipative Solitons From Optics to Biology and Medicine written by Nail Akhmediev and published by Springer Science & Business Media. This book was released on 2008-08-26 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: The dissipative soliton concept is a fundamental extension of the concept of solitons in conservative and integrable systems. It includes ideas from three major sources, namely standard soliton theory developed since the 1960s; nonlinear dynamics theory; and Prigogine's ideas of systems far from equilibrium. These three sources also correspond to the three component parts of this novel paradigm. This book explains the above principles in detail and gives the reader various examples.
Download or read book Macromolecular Systems Microscopic Interactions and Macroscopic Properties written by Deutsche Forschungsgemeinschaft and published by Wiley-VCH. This book was released on 2000-10-10 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Deutsche Forschungsgemeinschaft (DFG) has funded the work of an interdisciplinary group of researchers from 1984-1995 to promote basic research in chemistry and physics of macromolecular systems. This final report documents the results in form of reviews and original publications. It covers the fields of photoelectric, thermal, optical, and magnetic properties of macromolecular solids (polymers and polymer crystals), micellar structures, liquid crystals, and biopolymers and surfactant systems.
Download or read book Solitons written by Matthew C. Williams and published by Nova Science Publishers. This book was released on 2013 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In mathematics and physics, a soliton is a self-reinforcing solitary wave (a wave packet or pulse) that maintains its shape while it travels at constant speed. Solitons are caused by a cancellation of non-linear and dispersive effects in the medium. In this book, the authors discuss the interactions and theoretical and experimental challenges of solitons. Topics include soliton motion of electrons and its physical properties in coupled electron-phonon systems and ionic crystals; soliton excitations and its experimental evidence in molecular crystals; shapes and dynamics of semi-discrete solitons in arrayed and stacked waveguiding systems; and more.
Download or read book Energy and Information Transfer in Biological Systems written by Larissa S. Brizhik and published by World Scientific. This book was released on 2003 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains papers based on the workshop OC Energy and Information Transfer in Biological Systems: How Physics Could Enrich Biological UnderstandingOCO, held in Italy in 2002. The meeting was a forum aimed at evaluating the potential and outlooks of a modern physics approach to understanding and describing biological processes, especially regarding the transition from the microscopic chemical scenario to the macroscopic functional configurations of living matter. In this frame some leading researchers presented and discussed several basic topics, such as the photon interaction with biological systems also from the viewpoint of photon information processes and of possible applications; the influence of electromagnetic fields on the self-organization of biosystems including the nonlinear mechanism for energy transfer and storage; and the influence of the structure of water on the properties of biological matter."
Download or read book Solitons in Molecular Systems written by Davydov and published by Springer. This book was released on 2012-10-02 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Et moi, ..., si j'avait su comment en revenir, One service mathematics has rendered the je n'y serais point alle.' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non The series is divergent; therefore we may be sense'. able to do something with it. Eric T. Bell O. Heaviside Mathematicsis a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics seIVe as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One seIVice topology has rendered mathematical physics ...'; 'One service logic has rendered com puter science ...'; 'One service category theory has rendered mathematics ...'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.
Download or read book Simulation Of Nonlinear Systems In Physics Proceedings Of The Enea Workshops On Nonlinear Dynamics Vol 3 written by M Pettini and published by World Scientific. This book was released on 1991-10-31 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: This workshop in nonlinear dynamics and mathematical physics, organized by the Italian Nuclear Energy Agency (ENEA) in Bologna, is intended to give an updated overview of modern trends in the field of nonlinear dynamics with emphasis on applications to physics, quantum theory, plasma physics and fluid dynamics, optics and electrodynamics, computer simulation and neural networks.
Download or read book Synergetics of Molecular Systems written by Lev N. Lupichev and published by Springer. This book was released on 2014-08-19 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Synergetics is the quantitative study of multicomponent systems that exhibit nonlinear dynamics and cooperativity. This book specifically considers basic models of the nonlinear dynamics of molecular systems and discusses relevant applications in biological physics and the polymer sciences. Emphasis is placed on specific solutions to the dynamical equations that correspond to the coherent formation of spatial-temporal structures, such as solitons, kinks and breathers, in particular. The emergence of these patterns in molecular structures provides a variety of information on their structural properties and plays a significant part in energy transfer processes, topological defects, dislocations, and related structure transitions. Real media, in which solitons take the form of solitary waves, are also considered. In this context, the formation of nonlinear waves in a continuous medium described by nonlinear equations is associated with spontaneous breaking of the local symmetry of the homogeneous system, which produces a range of interesting phenomena. A particular feature of this text is its combination of analytic and computational strategies to tackle difficult nonlinear problems at the molecular level of matter.
Download or read book Energy Transfer in Macromolecules written by Nikolaĭ Lazarevich Vekshin and published by SPIE Press. This book was released on 1997 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: A review of energy transfer mechanisms and luminescence measurements of efficiency of electronic excitation energy transfer in synthetic bichromophoric molecules, polymers and bio-polymers. It is devoted mainly to contradictions and alternative viewpoints.
Download or read book Dissipative Solitons From Optics to Biology and Medicine written by Nail Akhmediev and published by Springer. This book was released on 2009-08-29 with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt: The dissipative soliton concept is a fundamental extension of the concept of solitons in conservative and integrable systems. It includes ideas from three major sources, namely standard soliton theory developed since the 1960s; nonlinear dynamics theory; and Prigogine's ideas of systems far from equilibrium. These three sources also correspond to the three component parts of this novel paradigm. This book explains the above principles in detail and gives the reader various examples.
Download or read book Energy And Information Transfer In Biological Systems How Physics Could Enrich Biological Understanding Proceedings Of The International Workshop written by Mae-wan Ho and published by World Scientific. This book was released on 2003-06-13 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains papers based on the workshop “Energy and Information Transfer in Biological Systems: How Physics Could Enrich Biological Understanding”, held in Italy in 2002. The meeting was a forum aimed at evaluating the potential and outlooks of a modern physics approach to understanding and describing biological processes, especially regarding the transition from the microscopic chemical scenario to the macroscopic functional configurations of living matter. In this frame some leading researchers presented and discussed several basic topics, such as the photon interaction with biological systems also from the viewpoint of photon information processes and of possible applications; the influence of electromagnetic fields on the self-organization of biosystems including the nonlinear mechanism for energy transfer and storage; and the influence of the structure of water on the properties of biological matter.
Download or read book Soliton Theory written by Allan P. Fordy and published by Manchester University Press. This book was released on 1990 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: A coherent introduction to the complete range of soliton theory including Hirota's method and Backlund transformations. Details physical applications of soliton theory with chapters on the peculiar wave patterns of the Andaman Sea, atmospheric phenomena, general relativity and Davydov solitons. Contains testing for full integrability, a discussion of the Painlevé technique, symmetries and conservation law.
Download or read book Solitons written by Mohamed Atef Helal and published by Springer Nature. This book was released on 2022-11-12 with total page 483 pages. Available in PDF, EPUB and Kindle. Book excerpt: This newly updated volume of the Encyclopedia of Complexity and Systems Science (ECSS) presents several mathematical models that describe this physical phenomenon, including the famous non-linear equation Korteweg-de-Vries (KdV) that represents the canonical form of solitons. Also, there exists a class of nonlinear partial differential equations that led to solitons, e.g., Kadomtsev-Petviashvili (KP), Klein-Gordon (KG), Sine-Gordon (SG), Non-Linear Schrödinger (NLS), Korteweg-de-Vries Burger’s (KdVB), etc. Different linear mathematical methods can be used to solve these models analytically, such as the Inverse Scattering Transformation (IST), Adomian Decomposition Method, Variational Iteration Method (VIM), Homotopy Analysis Method (HAM) and Homotopy Perturbation Method (HPM). Other non-analytic methods use the computational techniques available in such popular mathematical packages as Mathematica, Maple, and MATLAB. The main purpose of this volume is to provide physicists, engineers, and their students with the proper methods and tools to solve the soliton equations, and to discover the new possibilities of using solitons in multi-disciplinary areas ranging from telecommunications to biology, cosmology, and oceanographic studies.
Download or read book Modern Bioelectrochemistry written by F. Gutmann and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 639 pages. Available in PDF, EPUB and Kindle. Book excerpt: As stated by Buckminster Fuller in Operation Manual for Spaceship Earth, "Synergy is the behavior of whole systems unpredicted by separately observed behaviors of any of the system's separate parts". In a similar vein, one might define an intellectual synergy as "an improvement in our understanding of the behavior of a system unpredicted by separately acquired viewpoints of the activities of such a system". Such considerations underlie, and provide a motivation for, an interdisciplinary approach to the problem of unraveling the deeper mysteries of cellular metabolism and organization, and have led a number of pioneering spirits, many represen ted in the pages which follow, to consider biological systems from an elec trochemical standpoint. is itself, of course, an interdisciplinary branch of Now electrochemistry science, and there is no doubt that many were introduced to it via Bockris and Reddy's outstanding, wide-ranging and celebrated textbook Modern Electrochemistry. If I am to stick my neck out, and seek to define bioelec trochemistry, I would take it to refer to "the study of the mutual interac tions of electrical fields and biological materials, including living systems".
