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Author : Serban Dan Cartianu
Publisher : Unknown
Page : 294 pages
File Size : 53,5 Mb
Release : 1986
Category : Belousov-Zhabotinskii reaction
ISBN : CORNELL:31924059079263
Author : Igor Chueshov,Björn Schmalfuß
Publisher : Springer Nature
Page : 346 pages
File Size : 46,8 Mb
Release : 2020-07-29
Category : Mathematics
ISBN : 9783030470913
The main goal of this book is to systematically address the mathematical methods that are applied in the study of synchronization of infinite-dimensional evolutionary dissipative or partially dissipative systems. It bases its unique monograph presentation on both general and abstract models and covers several important classes of coupled nonlinear deterministic and stochastic PDEs which generate infinite-dimensional dissipative systems. This text, which adapts readily to advanced graduate coursework in dissipative dynamics, requires some background knowledge in evolutionary equations and introductory functional analysis as well as a basic understanding of PDEs and the theory of random processes. Suitable for researchers in synchronization theory, the book is also relevant to physicists and engineers interested in both the mathematical background and the methods for the asymptotic analysis of coupled infinite-dimensional dissipative systems that arise in continuum mechanics.
Author : Hemen Dutta
Publisher : CRC Press
Page : 237 pages
File Size : 44,9 Mb
Release : 2020-01-03
Category : Technology & Engineering
ISBN : 9781000764970
This book covers tools and techniques used for developing mathematical methods and modelling related to real-life situations. It brings forward significant aspects of mathematical research by using different mathematical methods such as analytical, computational, and numerical with relevance or applications in engineering and applied sciences. Presents theory, methods, and applications in a balanced manner Includes the basic developments with full details Contains the most recent advances and offers enough references for further study Written in a self-contained style and provides proof of necessary results Offers research problems to help early career researchers prepare research proposals Mathematical Methods in Engineering and Applied Sciences makes available for the audience, several relevant topics in one place necessary for crucial understanding of research problems of an applied nature. This should attract the attention of general readers, mathematicians, and engineers interested in new tools and techniques required for developing more accurate mathematical methods and modelling corresponding to real-life situations.
Author : Y. Kuramoto
Publisher : Springer Science & Business Media
Page : 165 pages
File Size : 41,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642696893
Tbis book is intended to provide a few asymptotic methods which can be applied to the dynamics of self-oscillating fields of the reaction-diffusion type and of some related systems. Such systems, forming cooperative fields of a large num of interacting similar subunits, are considered as typical synergetic systems. ber Because each local subunit itself represents an active dynamical system function ing only in far-from-equilibrium situations, the entire system is capable of showing a variety of curious pattern formations and turbulencelike behaviors quite unfamiliar in thermodynamic cooperative fields. I personally believe that the nonlinear dynamics, deterministic or statistical, of fields composed of similar active (Le., non-equilibrium) elements will form an extremely attractive branch of physics in the near future. For the study of non-equilibrium cooperative systems, some theoretical guid ing principle would be highly desirable. In this connection, this book pushes for ward a particular physical viewpoint based on the slaving principle. The dis covery of tbis principle in non-equilibrium phase transitions, especially in lasers, was due to Hermann Haken. The great utility of this concept will again be dem onstrated in tbis book for the fields of coupled nonlinear oscillators.
Author : Anonim
Publisher : Unknown
Page : 472 pages
File Size : 53,8 Mb
Release : 1992
Category : Chemistry
ISBN : UOM:39015026402894
Author : Susanna C Manrubia,Alexander S Mikhailov,Damián H Zanette
Publisher : World Scientific
Page : 360 pages
File Size : 53,7 Mb
Release : 2004-04-14
Category : Science
ISBN : 9789814482950
' Synchronization processes bring about dynamical order and lead to spontaneous development of structural organization in complex systems of various origins, from chemical oscillators and biological cells to human societies and the brain. This book provides a review and a detailed theoretical analysis of synchronization phenomena in complex systems with different architectures, composed of elements with periodic or chaotic individual dynamics. Special attention is paid to statistical concepts, such as nonequilibrium phase transitions, order parameters and dynamical glasses. Contents:Synchronization and Clustering of Periodic Oscillators:Ensembles of Identical Phase OscillatorsHeterogeneous Ensembles and the Effects of NoiseOscillator NetworksArrays of Limit-Cycle OscillatorsSynchronization and Clustering in Chaotic Systems:Chaos and SynchronizationSynchronization in Populations of Chaotic ElementsClusteringDynamical GlassesSelected Applications:Chemical SystemsBiological CellsNeural Networks Readership: Graduate students and academics interested in complex systems. Keywords:Self-Organization;Nonlinear Dynamics;Chaos;Collective Synchronization;Dynamical Clustering;Hierarchical OrderReviews:“This book makes an additional contribution to the topic paying special attention to statistical concepts, such as nonequilibrium phase transitions, order parameters and dynamical glasses. Another distinguishing feature of the book is that it includes applications in chemistry, cell biology, and brain science.”Zentralblatt MATH '
Author : Werner Ebeling,Heinz Ulbricht
Publisher : Springer Science & Business Media
Page : 228 pages
File Size : 47,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642710049
These Proceedings contain invited lectures presented at the third Interna tional Conference on "Irreversible Processes and Dissipative Structures" in Kiihlungsborn (German Democratic Republic) in March, 1985. These con ferences, the first of which was held in Rostock in 1977 and the second in Berlin in 1982, are devoted to the study of irreversible processes far from thermal equilibrium and to the phenomena of selforganization. The meet ing in Kiihlungsborn brought together some 160 mathematicians, physicists, chemists and biologists from 10 countries, who are all interested in the inter disciplinary field of synergetics. The main topics of the conference were basic concepts of selforganization and evolution, such as entropy, instabilities, nucleation, dissipative struc tures, chaos and turbulence. The contributions cover methods from ther modynamics, the theory of dynamic systems, stochastic and statistic theory, the method of Green's functions, the fluctuation-dissipation theorem, etc. Several problems are studied in more detail, e.g., the kinetics of nucleation especially in finite systems, the dynamics of interfaces, reaction-diffusion sys tems, chemical and biochemical pattern formation and information process ing. Further, several contributions are devoted to the development of the concepts of chaos and turbulence. The editors hope that the contributions collected in this volume will pro vide some new information about the field of selforganization, which is in full development now.
Author : Anonim
Publisher : Unknown
Page : 304 pages
File Size : 52,7 Mb
Release : 1991
Category : Physics
ISBN : UCAL:B4011944
Author : Taylor & Francis Group
Publisher : CRC Press
Page : 308 pages
File Size : 45,7 Mb
Release : 2021-09-30
Category : Electronic
ISBN : 1032175915
This book covers tools and techniques used for developing mathematical methods and modelling related to real-life situations. It brings forward significant aspects of mathematical research by using different mathematical methods such as analytical, computational, and numerical with relevance or applications in engineering and applied sciences.
Author : Paul Bracken
Publisher : BoD – Books on Demand
Page : 138 pages
File Size : 48,8 Mb
Release : 2020-03-11
Category : Mathematics
ISBN : 9781789855432
The subject of chaos has invaded practically every area of the natural sciences. Weather patterns are referred to as chaotic. There are chemical reactions and chaotic evolution of insect populations. Atomic and molecular physics have also seen the emergence of the study of chaos in these microscopic domains. This book examines the issue of chaos in nonlinear and dynamical systems, quantum mechanics, biology, and economics.
Author : Fuchun Sun,Qinghu Meng,Zhumu Fu,Bin Fang
Publisher : Springer Nature
Page : 445 pages
File Size : 41,6 Mb
Release : 2023-12-06
Category : Computers
ISBN : 9789819980185
The two-volume set CCIS 1918 and 1919 constitutes the refereed post-conference proceedings of the 8th International Conference on Cognitive Systems and Information Processing, ICCSIP 2023, held in Luoyang, China, during August 10–12, 2023. The 52 full papers presented in these proceedings were carefully reviewed and selected from 136 submissions. The papers are organized in the following topical sections: Volume I : Award; Algorithm & Control; and Application. Volume II: Robotics & Bioinformatics; and Vision.
Author : Martin Ziegler
Publisher : Springer Nature
Page : 439 pages
File Size : 55,8 Mb
Release : 2024-06-29
Category : Electronic
ISBN : 9783031367052
Author : Anonim
Publisher : Unknown
Page : 1178 pages
File Size : 45,8 Mb
Release : 1987
Category : Physics
ISBN : UCLA:L0061079018
Author : Anonim
Publisher : Unknown
Page : 1014 pages
File Size : 48,8 Mb
Release : 1987
Category : Mathematics
ISBN : UVA:X002277294
Author : Anonim
Publisher : Unknown
Page : 532 pages
File Size : 55,9 Mb
Release : 1987
Category : Mathematics
ISBN : UOM:39015046581040
