Author: Iuliana Oprea
Publisher: World Scientific
ISBN: 9814482099
Category : Science
Languages : en
Pages : 405
Book Description
Understanding the spontaneous formation and dynamics of spatiotemporal patterns in dissipative nonequilibrium systems is one of the major challenges in nonlinear science. This collection of expository papers and advanced research articles, written by leading experts, provides an overview of the state of the art. The topics include new approaches to the mathematical characterization of spatiotemporal complexity, with special emphasis on the role of symmetry, as well as analysis and experiments of patterns in a remarkable variety of applied fields such as magnetoconvection, liquid crystals, granular media, Faraday waves, multiscale biological patterns, visual hallucinations, and biological pacemakers. The unitary presentations, guiding the reader from basic fundamental concepts to the most recent research results on each of the themes, make the book suitable for a wide audience.
Dynamics And Bifurcation Of Patterns In Dissipative Systems
Author: Iuliana Oprea
Publisher: World Scientific
ISBN: 9814482099
Category : Science
Languages : en
Pages : 405
Book Description
Understanding the spontaneous formation and dynamics of spatiotemporal patterns in dissipative nonequilibrium systems is one of the major challenges in nonlinear science. This collection of expository papers and advanced research articles, written by leading experts, provides an overview of the state of the art. The topics include new approaches to the mathematical characterization of spatiotemporal complexity, with special emphasis on the role of symmetry, as well as analysis and experiments of patterns in a remarkable variety of applied fields such as magnetoconvection, liquid crystals, granular media, Faraday waves, multiscale biological patterns, visual hallucinations, and biological pacemakers. The unitary presentations, guiding the reader from basic fundamental concepts to the most recent research results on each of the themes, make the book suitable for a wide audience.
Publisher: World Scientific
ISBN: 9814482099
Category : Science
Languages : en
Pages : 405
Book Description
Understanding the spontaneous formation and dynamics of spatiotemporal patterns in dissipative nonequilibrium systems is one of the major challenges in nonlinear science. This collection of expository papers and advanced research articles, written by leading experts, provides an overview of the state of the art. The topics include new approaches to the mathematical characterization of spatiotemporal complexity, with special emphasis on the role of symmetry, as well as analysis and experiments of patterns in a remarkable variety of applied fields such as magnetoconvection, liquid crystals, granular media, Faraday waves, multiscale biological patterns, visual hallucinations, and biological pacemakers. The unitary presentations, guiding the reader from basic fundamental concepts to the most recent research results on each of the themes, make the book suitable for a wide audience.
Thinking in Complexity
Author: Klaus Mainzer
Publisher: Springer Science & Business Media
ISBN: 3540722289
Category : Science
Languages : en
Pages : 491
Book Description
This new edition also treats smart materials and artificial life. A new chapter on information and computational dynamics takes up many recent discussions in the community.
Publisher: Springer Science & Business Media
ISBN: 3540722289
Category : Science
Languages : en
Pages : 491
Book Description
This new edition also treats smart materials and artificial life. A new chapter on information and computational dynamics takes up many recent discussions in the community.
Pattern Formation and Dynamics in Nonequilibrium Systems
Author: Michael Cross
Publisher: Cambridge University Press
ISBN: 0521770505
Category : Mathematics
Languages : en
Pages : 547
Book Description
An account of how complex patterns form in sustained nonequilibrium systems; for graduate students in biology, chemistry, engineering, mathematics, and physics.
Publisher: Cambridge University Press
ISBN: 0521770505
Category : Mathematics
Languages : en
Pages : 547
Book Description
An account of how complex patterns form in sustained nonequilibrium systems; for graduate students in biology, chemistry, engineering, mathematics, and physics.
Numerical Bifurcation Analysis for Reaction-Diffusion Equations
Author: Zhen Mei
Publisher: Springer Science & Business Media
ISBN: 3662041774
Category : Mathematics
Languages : en
Pages : 422
Book Description
This monograph is the first to provide readers with numerical tools for a systematic analysis of bifurcation problems in reaction-diffusion equations. Many examples and figures illustrate analysis of bifurcation scenario and implementation of numerical schemes. Readers will gain a thorough understanding of numerical bifurcation analysis and the necessary tools for investigating nonlinear phenomena in reaction-diffusion equations.
Publisher: Springer Science & Business Media
ISBN: 3662041774
Category : Mathematics
Languages : en
Pages : 422
Book Description
This monograph is the first to provide readers with numerical tools for a systematic analysis of bifurcation problems in reaction-diffusion equations. Many examples and figures illustrate analysis of bifurcation scenario and implementation of numerical schemes. Readers will gain a thorough understanding of numerical bifurcation analysis and the necessary tools for investigating nonlinear phenomena in reaction-diffusion equations.
Generalized Synchronization And Generalized Consensus Of System Arrays
Author: Lequan Min
Publisher: World Scientific
ISBN: 9811214298
Category : Science
Languages : en
Pages : 161
Book Description
What is synchronization? This book will show how the concept of closeness of states or frequencies between two dynamical systems has evolved from synchronization to consensus. Part 1 introduces the concepts and mathematical descriptions of Generalized Synchronization (GS) while Part 2 covers Generalized Consensus (GC).It is suitable for researchers and practitioners undertaking the studies of synchronization and consensus of multi-agent systems, graduate students and senior undergraduate students with the backgrounds in calculus, linear algebra and ordinary differential equations, equipped with computer programming skills, in mathematics, physics, engineering and even social sciences.
Publisher: World Scientific
ISBN: 9811214298
Category : Science
Languages : en
Pages : 161
Book Description
What is synchronization? This book will show how the concept of closeness of states or frequencies between two dynamical systems has evolved from synchronization to consensus. Part 1 introduces the concepts and mathematical descriptions of Generalized Synchronization (GS) while Part 2 covers Generalized Consensus (GC).It is suitable for researchers and practitioners undertaking the studies of synchronization and consensus of multi-agent systems, graduate students and senior undergraduate students with the backgrounds in calculus, linear algebra and ordinary differential equations, equipped with computer programming skills, in mathematics, physics, engineering and even social sciences.
Multiscale Modeling of Developmental Systems
Author:
Publisher: Academic Press
ISBN: 0080556531
Category : Science
Languages : en
Pages : 605
Book Description
Mathematical and computational biology is playing an increasingly important role in the biological sciences. This science brings forward unique challenges, many of which are, at the moment, beyond the theoretical techniques available. Developmental biology, due to its complexity, has lagged somewhat behind its sister disciplines (such as molecular biology and population biology) in making use of quantitative modeling to further biological understanding. This volume comprises work that is among the best developmental modeling available and we feel it will do much to remedy this situation.This book is aimed at all those with an interest in the interdisciplinary field of computer and mathematical modeling of multi-cellular and developmental systems. It is also a goal of the Editors to attract more developmental biologists to consider integrating modeling components into their research. Most importantly, this book is intended to serve as a portal into this research area for younger scientists – especially graduate students and post-docs, from both biological and quantitative backgrounds.* Articles written by leading exponents in the field* Provides techniques to address multiscale modeling* Coverage includes a wide spectrum of modeling approaches* Includes descriptions of the most recent advances in the field
Publisher: Academic Press
ISBN: 0080556531
Category : Science
Languages : en
Pages : 605
Book Description
Mathematical and computational biology is playing an increasingly important role in the biological sciences. This science brings forward unique challenges, many of which are, at the moment, beyond the theoretical techniques available. Developmental biology, due to its complexity, has lagged somewhat behind its sister disciplines (such as molecular biology and population biology) in making use of quantitative modeling to further biological understanding. This volume comprises work that is among the best developmental modeling available and we feel it will do much to remedy this situation.This book is aimed at all those with an interest in the interdisciplinary field of computer and mathematical modeling of multi-cellular and developmental systems. It is also a goal of the Editors to attract more developmental biologists to consider integrating modeling components into their research. Most importantly, this book is intended to serve as a portal into this research area for younger scientists – especially graduate students and post-docs, from both biological and quantitative backgrounds.* Articles written by leading exponents in the field* Provides techniques to address multiscale modeling* Coverage includes a wide spectrum of modeling approaches* Includes descriptions of the most recent advances in the field
Pattern Formation in Continuous and Coupled Systems
Author: Martin Golubitsky
Publisher: Springer Science & Business Media
ISBN: 1461215587
Category : Mathematics
Languages : en
Pages : 324
Book Description
This IMA Volume in Mathematics and its Applications PATTERN FORMATION IN CONTINUOUS AND COUPLED SYSTEMS is based on the proceedings of a workshop with the same title, but goes be yond the proceedings by presenting a series of mini-review articles that sur vey, and provide an introduction to, interesting problems in the field. The workshop was an integral part of the 1997-98 IMA program on "EMERG ING APPLICATIONS OF DYNAMICAL SYSTEMS." I would like to thank Martin Golubitsky, University of Houston (Math ematics) Dan Luss, University of Houston (Chemical Engineering), and Steven H. Strogatz, Cornell University (Theoretical and Applied Mechan ics) for their excellent work as organizers of the meeting and for editing the proceedings. I also take this opportunity to thank the National Science Foundation (NSF), and the Army Research Office (ARO), whose financial support made the workshop possible. Willard Miller, Jr., Professor and Director v PREFACE Pattern formation has been studied intensively for most of this cen tury by both experimentalists and theoreticians, and there have been many workshops and conferences devoted to the subject. In the IMA workshop on Pattern Formation in Continuous and Coupled Systems held May 11-15, 1998 we attempted to focus on new directions in the patterns literature.
Publisher: Springer Science & Business Media
ISBN: 1461215587
Category : Mathematics
Languages : en
Pages : 324
Book Description
This IMA Volume in Mathematics and its Applications PATTERN FORMATION IN CONTINUOUS AND COUPLED SYSTEMS is based on the proceedings of a workshop with the same title, but goes be yond the proceedings by presenting a series of mini-review articles that sur vey, and provide an introduction to, interesting problems in the field. The workshop was an integral part of the 1997-98 IMA program on "EMERG ING APPLICATIONS OF DYNAMICAL SYSTEMS." I would like to thank Martin Golubitsky, University of Houston (Math ematics) Dan Luss, University of Houston (Chemical Engineering), and Steven H. Strogatz, Cornell University (Theoretical and Applied Mechan ics) for their excellent work as organizers of the meeting and for editing the proceedings. I also take this opportunity to thank the National Science Foundation (NSF), and the Army Research Office (ARO), whose financial support made the workshop possible. Willard Miller, Jr., Professor and Director v PREFACE Pattern formation has been studied intensively for most of this cen tury by both experimentalists and theoreticians, and there have been many workshops and conferences devoted to the subject. In the IMA workshop on Pattern Formation in Continuous and Coupled Systems held May 11-15, 1998 we attempted to focus on new directions in the patterns literature.
Waves, Bifurcations, and Pattern Formation in Dissipative Systems with Symmetry
Author: Adam Scott Landsberg
Publisher:
ISBN:
Category :
Languages : en
Pages : 538
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 538
Book Description
From Physics to Control Through an Emergent View
Author: Luigi Fortuna
Publisher: World Scientific
ISBN: 9814313157
Category : Science
Languages : en
Pages : 395
Book Description
Pt. F. Microfluidics : theory, methods and applications. Moving boundary problems for the BGK model of rarefied gas dynamics / G. Russo. Experimental investigation on parameters for the control of droplets dynamics / F. Sapuppo, F. Schembri and M. Bucolo. Rapid prototyping of Thiolene microfluidic chips / G. Mistura ... [et al.]. Development integrated inductive sensors for magnetic immunoassay in "lab on chip" devices / B. Ando ... [et al.] -- pt. G. Mathematical modelling of dynamic systems for volcano physics. Wavelet multi-resolution analysis for the local separation of microgravity anomalies at Etna volcano / F. Greco ... [et al.]. Integrated inversion of numerical geophysical models using artificial neural networks / A. Di Stefano ... [et al.]. SPH modeling of lava flows with GPU implementation / A. Herault ... [et al.]. 3D dynamic model for channeled model flows with nonlinear rheology / M. Filippucci, A. Tallarico and M. Dragoni. Clustering of infrasonic events as tool to detect and locate explosive activity at Mt. Etna volcano / P. Montalto ... [et al.]. Lava flow susceptibility map of Mt. Etna based on numerical simulations / A. Cappello, C. Del Negro and A. Vicari. Automated detection and analysis of volcanic thermal anomalies through the combined use of SEVIRI and MODIS / G. Ganci ... [et al.]. Modeling volcanomagnetic dynamics by recurrent least-square support vector machines / S. Jankowski ... [et al.] -- pt. H. Geometric control for quantum and classical models.
Publisher: World Scientific
ISBN: 9814313157
Category : Science
Languages : en
Pages : 395
Book Description
Pt. F. Microfluidics : theory, methods and applications. Moving boundary problems for the BGK model of rarefied gas dynamics / G. Russo. Experimental investigation on parameters for the control of droplets dynamics / F. Sapuppo, F. Schembri and M. Bucolo. Rapid prototyping of Thiolene microfluidic chips / G. Mistura ... [et al.]. Development integrated inductive sensors for magnetic immunoassay in "lab on chip" devices / B. Ando ... [et al.] -- pt. G. Mathematical modelling of dynamic systems for volcano physics. Wavelet multi-resolution analysis for the local separation of microgravity anomalies at Etna volcano / F. Greco ... [et al.]. Integrated inversion of numerical geophysical models using artificial neural networks / A. Di Stefano ... [et al.]. SPH modeling of lava flows with GPU implementation / A. Herault ... [et al.]. 3D dynamic model for channeled model flows with nonlinear rheology / M. Filippucci, A. Tallarico and M. Dragoni. Clustering of infrasonic events as tool to detect and locate explosive activity at Mt. Etna volcano / P. Montalto ... [et al.]. Lava flow susceptibility map of Mt. Etna based on numerical simulations / A. Cappello, C. Del Negro and A. Vicari. Automated detection and analysis of volcanic thermal anomalies through the combined use of SEVIRI and MODIS / G. Ganci ... [et al.]. Modeling volcanomagnetic dynamics by recurrent least-square support vector machines / S. Jankowski ... [et al.] -- pt. H. Geometric control for quantum and classical models.
Dissipative Structures and Weak Turbulence
Author:
Publisher: Academic Press
ISBN: 008092445X
Category : Science
Languages : en
Pages : 505
Book Description
Dissipative Structure and Weak Turbulence provides an understanding of the emergence and evolution of structures in macroscopic systems. This book discusses the emergence of dissipative structures. Organized into 10 chapters, this book begins with an overview of the stability of a fluid layer with potentially unstable density stratification in the field of gravity. This text then explains the theoretical description of the dynamics of a given system at a formal level. Other chapters consider several examples of how such simplified models can be derived, complicating the picture progressively to account for other phenomena. This book discusses as well the theory and experiments on plain Rayleigh–Bénard convection by setting first the theoretical frame and deriving the analytical solution of the marginal stability problem. The final chapter deals with building a bridge between chaos as studied in weakly confined systems and more advanced turbulence in the most conventional sense. This book is a valuable resource for physicists.
Publisher: Academic Press
ISBN: 008092445X
Category : Science
Languages : en
Pages : 505
Book Description
Dissipative Structure and Weak Turbulence provides an understanding of the emergence and evolution of structures in macroscopic systems. This book discusses the emergence of dissipative structures. Organized into 10 chapters, this book begins with an overview of the stability of a fluid layer with potentially unstable density stratification in the field of gravity. This text then explains the theoretical description of the dynamics of a given system at a formal level. Other chapters consider several examples of how such simplified models can be derived, complicating the picture progressively to account for other phenomena. This book discusses as well the theory and experiments on plain Rayleigh–Bénard convection by setting first the theoretical frame and deriving the analytical solution of the marginal stability problem. The final chapter deals with building a bridge between chaos as studied in weakly confined systems and more advanced turbulence in the most conventional sense. This book is a valuable resource for physicists.