Patterns And Interfaces In Dissipative Dynamics
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Patterns And Interfaces In Dissipative Dynamics
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Author : L.M. Pismen
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-07-07
Patterns And Interfaces In Dissipative Dynamics written by L.M. Pismen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-07-07 with Science categories.
Spontaneous pattern formation in nonlinear dissipative systems far from equilibrium is a paradigmatic case of emergent behaviour associated with complex systems. It is encountered in a great variety of settings, both in nature and technology, and has numerous applications ranging from nonlinear optics through solid and fluid mechanics, physical chemistry and chemical engineering to biology. Nature creates its variety of forms through spontaneous pattern formation and self-assembly, and this strategy is likely to be imitated by future biomorphic technologies. This book is a first-hand account by one of the leading players in this field, which gives in-depth descriptions of analytical methods elucidating the complex evolution of nonlinear dissipative systems, and brings the reader to the forefront of current research. The introductory chapter on the theory of dynamical systems is written with a view to applications of its powerful methods to spatial and spatio-temporal patterns. It is followed by two chapters treating moving interfaces, based largely on reaction-diffusion and phase-separating systems. The following two chapters on amplitude equations for patterns and waves describe universal phenomena generated by representative equations which can be derived for a variety of non-equilibrium systems originating in fluid mechanics, physical chemistry or nonlinear optics. This book addresses graduate students and non-specialists from the many related areas of applied mathematics, physical chemistry, chemical engineering and biology, as well as the seasoned scientist in search of a modern source of reference.
Patterns And Interfaces In Dissipative Dynamics
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Author : Len Pismen
language : en
Publisher: Springer Nature
Release Date : 2023-06-12
Patterns And Interfaces In Dissipative Dynamics written by Len Pismen and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-12 with Science categories.
Spontaneous pattern formation in nonlinear dissipative systems far from equilibrium occurs in a variety of settings in nature and technology, and has applications ranging from nonlinear optics through solid and fluid mechanics, physical chemistry and chemical engineering to biology. This book explores the forefront of current research, describing in-depth the analytical methods that elucidate the complex evolution of nonlinear dissipative systems.
Patterns And Interfaces In Dissipative Dynamics
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Author :
language : en
Publisher: Springer
Release Date : 2011-10-14
Patterns And Interfaces In Dissipative Dynamics written by and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-14 with categories.
Patterns And Interfaces In Dissipative Dynamics
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Author : Len M. Pismen
language : en
Publisher:
Release Date : 2023
Patterns And Interfaces In Dissipative Dynamics written by Len M. Pismen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023 with Dynamics categories.
Spontaneous pattern formation in nonlinear dissipative systems far from equilibrium is a paradigmatic case of emergent behaviour associated with complex systems. It is encountered in a great variety of settings, both in nature and technology, and has numerous applications ranging from nonlinear optics through solid and fluid mechanics, physical chemistry and chemical engineering to biology. This book is a first-hand account by one of the leading players in this field, which gives in-depth descriptions of analytical methods elucidating the complex evolution of nonlinear dissipative systems, and brings the reader to the forefront of current research. Since the publication of the first edition, applications of the theory of nonlinear dynamics have been substantially extended to the novel area of active systems, largely motivated by problems of biophysics and biomorphic technology. These problems typically involve media with internal orientation. This new edition incorporates a chapter discussing dynamics of liquids and soft solids with internal orientation, including special features of their instabilities and motion of topological defects, which form the background for various applications to the motion of cells, tissues, and activated soft materials. The contents of the first edition have also been substantially reworked, improving graphics, emphasizing more complex secondary instabilities, and dropping some material pertaining to dynamical systems. This book caters for graduate students and young researchers from many pertinent areas including applied mathematics, physical chemistry, chemical engineering and biophysics, as well as the seasoned scientist in search of a modern source of reference.
Pattern Formation At Interfaces
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Author : Pierre Colinet
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-03-26
Pattern Formation At Interfaces written by Pierre Colinet and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-03-26 with Technology & Engineering categories.
The book deals with modern methods of nonlinear stability theory applied to problems of continuous media mechanics in the presence of interfaces, with applications to materials science, chemical engineering, heat transfer technologies, as well as in combustion and other reaction-diffusion systems. Interfaces play a dominant role at small scales, and their correct modeling is therefore also crucial in the rapidly expanding fields of microfluidics and nanotechnologies. To this aim, the book combines contributions of eminent specialists in the field, with a special emphasis on rigorous and predictive approaches. Other goals of this volume are to allow the reader to identify key problems of high scientific value, and to see the similarity between a variety of seemingly different physical problems.
Analysis And Control Of Complex Nonlinear Processes In Physics Chemistry And Biology
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Author : Lutz Schimansky-geier
language : en
Publisher: World Scientific
Release Date : 2007-01-30
Analysis And Control Of Complex Nonlinear Processes In Physics Chemistry And Biology written by Lutz Schimansky-geier and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-30 with Science categories.
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.
Pattern Formation In Complex Dissipative Systems Fluid Patterns Liquid Crystals Chemical Reactions
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Author : S Kai
language : en
Publisher: World Scientific
Release Date : 1992-09-15
Pattern Formation In Complex Dissipative Systems Fluid Patterns Liquid Crystals Chemical Reactions written by S Kai and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-09-15 with categories.
In this volume, the problems of pattern formation in physics, chemistry and other related fields in complex and nonlinear dissipative systems are studied. Main subjects discussed are formation mechanisms, properties, statistics, characterization and dynamics of periodic and nonperiodic patterns in the electrohydrodynamics in liquid crystals, Rayleigh-Benard convection, crystallization, viscous fingering and Belouzov-Zhabotinsky chemical reaction. Recent developments in topological and defect-mediated chaos, chaos in systems with large degrees of freedom and turbulence-turbulence transitions are also discussed.
Nonlinear Pdes
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Author : Guido Schneider
language : en
Publisher: American Mathematical Soc.
Release Date : 2017-10-26
Nonlinear Pdes written by Guido Schneider and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-26 with Mathematics categories.
This is an introductory textbook about nonlinear dynamics of PDEs, with a focus on problems over unbounded domains and modulation equations. The presentation is example-oriented, and new mathematical tools are developed step by step, giving insight into some important classes of nonlinear PDEs and nonlinear dynamics phenomena which may occur in PDEs. The book consists of four parts. Parts I and II are introductions to finite- and infinite-dimensional dynamics defined by ODEs and by PDEs over bounded domains, respectively, including the basics of bifurcation and attractor theory. Part III introduces PDEs on the real line, including the Korteweg-de Vries equation, the Nonlinear Schrödinger equation and the Ginzburg-Landau equation. These examples often occur as simplest possible models, namely as amplitude or modulation equations, for some real world phenomena such as nonlinear waves and pattern formation. Part IV explores in more detail the connections between such complicated physical systems and the reduced models. For many models, a mathematically rigorous justification by approximation results is given. The parts of the book are kept as self-contained as possible. The book is suitable for self-study, and there are various possibilities to build one- or two-semester courses from the book.
Nonlinear Physics Of Ecosystems
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Author : Ehud Meron
language : en
Publisher: CRC Press
Release Date : 2015-04-15
Nonlinear Physics Of Ecosystems written by Ehud Meron and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-15 with Nature categories.
Nonlinear Physics of Ecosystems introduces the concepts and tools of pattern formation theory and demonstrates their utility in ecological research using problems from spatial ecology. Written in language understandable to both physicists and ecologists in most parts, the book reveals the mechanisms of pattern formation and pattern dynamics. It als
Families As Complex Systems
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Author : Ana Teixeira de Melo
language : en
Publisher: Taylor & Francis
Release Date : 2025-06-30
Families As Complex Systems written by Ana Teixeira de Melo and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-06-30 with Social Science categories.
This book presents an innovative framework for conceptualising families as complex systems and for understanding and supporting positive change, adaptation and resilience. The development of this framework was based on a qualitative and abductive research process targeting change and resilience processes in multi-challenged families. The theoretical novelty of this book is mostly expressed in the notion of Love-Force: a relational force emerging from the coupling processes between individuals with potential transformative effects on them, their interactions and environments. This book introduces a new vocabulary for understanding the complexity of families as complex systems and their change and resilience processes. Love-Force is presented as a supreme expression of the complexity of families and human bonds. It elaborates on the complexity of the family bonds, on the relation of Love-Force to change and resilience and its contributions to the conceptualisation of the Potential for Family Change. Raising important theoretical and methodological challenges and questions, it presents a guide for future interdisciplinary research in the domains of complexity and family sciences and advances in practice. As such, it will be of interest to anyone interested in the complexity of human relations and to complexity scientists as much as family theorists, researchers and practitioners.