Golubitsky, Martin 1945
Overview
Works:  72 works in 335 publications in 7 languages and 5,515 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Other 
Classifications:  Q172.5.S95, 500 
Publication Timeline
.
Most widely held works by
Martin Golubitsky
Symmetry in chaos : a search for pattern in mathematics, art and nature by
Mike Field(
Book
)
52 editions published between 1992 and 2009 in 4 languages and held by 1,490 WorldCat member libraries worldwide
Chaotic dynamics (known popularity as chaos theory or, more simply, chaos) is among the most fascinating new fields in modern science, revolutionizing our understanding of order and pattern in nature. Symmetry, a traditional and highly developed area of mathematics, would seem to lie at the opposite end of the spectrum. From the branching of trees to the rose windows of great cathedrals, symmetric patterns seem the antithesis of such chaotic systems as weather patterns. And yet, scientists are now finding connections which could have profound consequences for our understanding of the physical world. In Symmetry in Chaos, mathematicians Michael Field and Martin Golubitsky offer an engaging look at where these two fields meet. In the process, they have generated mathematically a series of stunning computer images linking symmetry and chaos. Field and Golubitsky describe how a chaotic process eventually can lead to symmetric patterns (in a river, for instance, photographs of the turbulent movement of eddies, taken over time, often reveal patterns on average) and they provide clear explanations of the science that lies behind the computer images that link symmetry and chaos. And the images they generate are spectacular. Because of the symmetry, these fullcolor and blackandwhite images  some chaotic and some fractal  have a surprisingly classical appearance. Indeed, through comparisons with pictures from nature, such as sea shells and flowers, and decorative designs ranging from Islamic motifs to contemporary graphic lotos to ceramic tiles, the authors highlight the familiar yet unusual nature of these mysterious pictures. Finally, the book features an appendix containing several BASIC programs, which will enable home computer owners to experiment with similar images. This lavishly illustrated, oversized volume offers both a fascinating glimpse of the frontier of modern science and a stunning collection of remarkable images. Symmetry in Chaos will intrigue science buffs as well as anyone interested in decorative art and pattern design.  from dust jacket
52 editions published between 1992 and 2009 in 4 languages and held by 1,490 WorldCat member libraries worldwide
Chaotic dynamics (known popularity as chaos theory or, more simply, chaos) is among the most fascinating new fields in modern science, revolutionizing our understanding of order and pattern in nature. Symmetry, a traditional and highly developed area of mathematics, would seem to lie at the opposite end of the spectrum. From the branching of trees to the rose windows of great cathedrals, symmetric patterns seem the antithesis of such chaotic systems as weather patterns. And yet, scientists are now finding connections which could have profound consequences for our understanding of the physical world. In Symmetry in Chaos, mathematicians Michael Field and Martin Golubitsky offer an engaging look at where these two fields meet. In the process, they have generated mathematically a series of stunning computer images linking symmetry and chaos. Field and Golubitsky describe how a chaotic process eventually can lead to symmetric patterns (in a river, for instance, photographs of the turbulent movement of eddies, taken over time, often reveal patterns on average) and they provide clear explanations of the science that lies behind the computer images that link symmetry and chaos. And the images they generate are spectacular. Because of the symmetry, these fullcolor and blackandwhite images  some chaotic and some fractal  have a surprisingly classical appearance. Indeed, through comparisons with pictures from nature, such as sea shells and flowers, and decorative designs ranging from Islamic motifs to contemporary graphic lotos to ceramic tiles, the authors highlight the familiar yet unusual nature of these mysterious pictures. Finally, the book features an appendix containing several BASIC programs, which will enable home computer owners to experiment with similar images. This lavishly illustrated, oversized volume offers both a fascinating glimpse of the frontier of modern science and a stunning collection of remarkable images. Symmetry in Chaos will intrigue science buffs as well as anyone interested in decorative art and pattern design.  from dust jacket
Fearful symmetry : is God a geometer? by
Ian Stewart(
Book
)
27 editions published between 1992 and 2011 in 5 languages and held by 942 WorldCat member libraries worldwide
Starting with an analysis of the different forms of symmetry, the authors show how a few key principles can help us undrstand everything from cats' movements, corn circles and snow crystals to subatomic particles and the overall structure of the cosmos
27 editions published between 1992 and 2011 in 5 languages and held by 942 WorldCat member libraries worldwide
Starting with an analysis of the different forms of symmetry, the authors show how a few key principles can help us undrstand everything from cats' movements, corn circles and snow crystals to subatomic particles and the overall structure of the cosmos
Stable mappings and their singularities by
Martin Golubitsky(
Book
)
45 editions published between 1973 and 1986 in 4 languages and held by 624 WorldCat member libraries worldwide
45 editions published between 1973 and 1986 in 4 languages and held by 624 WorldCat member libraries worldwide
Singularities and groups in bifurcation theory by
Martin Golubitsky(
Book
)
10 editions published in 1984 in English and held by 425 WorldCat member libraries worldwide
Singularities and groups bifurcat.../Golubitsky.v.2
10 editions published in 1984 in English and held by 425 WorldCat member libraries worldwide
Singularities and groups bifurcat.../Golubitsky.v.2
The symmetry perspective : from equilibrium to chaos in phase space and physical space by
Martin Golubitsky(
Book
)
27 editions published between 2001 and 2004 in English and Undetermined and held by 374 WorldCat member libraries worldwide
Pattern formation in physical systems is one of the major research frontiers of mathematics. A central theme of this book is that many instances of pattern formation can be understood within a single framework: symmetry. The book applies symmetry methods to increasingly complex kinds of dynamic behavior: equilibria, perioddoubling, timeperiodic states, homoclinic and heteroclinic orbits, and chaos. Examples are drawn from both ODEs and PDEs. In each case the type of dynamical behavior being studied is motivated through applications, drawn from a wide variety of scientific disciplines ranging from theoretical physics to evolutionary biology. An extensive bibliography is provided
27 editions published between 2001 and 2004 in English and Undetermined and held by 374 WorldCat member libraries worldwide
Pattern formation in physical systems is one of the major research frontiers of mathematics. A central theme of this book is that many instances of pattern formation can be understood within a single framework: symmetry. The book applies symmetry methods to increasingly complex kinds of dynamic behavior: equilibria, perioddoubling, timeperiodic states, homoclinic and heteroclinic orbits, and chaos. Examples are drawn from both ODEs and PDEs. In each case the type of dynamical behavior being studied is motivated through applications, drawn from a wide variety of scientific disciplines ranging from theoretical physics to evolutionary biology. An extensive bibliography is provided
Multiparameter bifurcation theory : proceedings of the AMSIMSSIAM joint summer research conference held July 1420, 1985,
with support from the National Science Foundation by AMSIMSSIAM Joint Summer Research Conference in the Mathematical Sciences on Multiparameter Bifurcation Theory(
Book
)
15 editions published in 1986 in English and held by 275 WorldCat member libraries worldwide
15 editions published in 1986 in English and held by 275 WorldCat member libraries worldwide
Bifurcation and symmetry : cross influence between mathematics and applications by
E. L Allgower(
Book
)
8 editions published between 1991 and 1992 in English and held by 175 WorldCat member libraries worldwide
Symmetry is a property which occurs throughout nature and it is therefore natural that symmetry should be considered when attempting to model nature. In many cases, these models are also nonlinear and it is the study of nonlinear symmetric models that has been the basis of much recent work. Although systematic studies of nonlinear problems may be traced back at least to the pioneering contributions of Poincare, this remains an area with challenging problems for mathematicians and scientists. Phenomena whose models exhibit both symmetry and nonlinearity lead to problems which are challenging and rich in complexity, beauty and utility. In recent years, the tools provided by group theory and representation theory have proven to be highly effective in treating nonlinear problems involving symmetry. By these means, highly complex situations may be decomposed into a number of simpler ones which are already understood or are at least easier to handle. In the realm of numerical approximations, the systematic exploitation of symmetry via group repre sentation theory is even more recent. In the hope of stimulating interaction and acquaintance with results and problems in the various fields of applications, bifurcation theory and numerical analysis, we organized the conference and workshop Bifurcation and Symmetry: Cross Influences between Mathematics and Applications during June 27,814, 1991 at the Philipps University of Marburg, Germany
8 editions published between 1991 and 1992 in English and held by 175 WorldCat member libraries worldwide
Symmetry is a property which occurs throughout nature and it is therefore natural that symmetry should be considered when attempting to model nature. In many cases, these models are also nonlinear and it is the study of nonlinear symmetric models that has been the basis of much recent work. Although systematic studies of nonlinear problems may be traced back at least to the pioneering contributions of Poincare, this remains an area with challenging problems for mathematicians and scientists. Phenomena whose models exhibit both symmetry and nonlinearity lead to problems which are challenging and rich in complexity, beauty and utility. In recent years, the tools provided by group theory and representation theory have proven to be highly effective in treating nonlinear problems involving symmetry. By these means, highly complex situations may be decomposed into a number of simpler ones which are already understood or are at least easier to handle. In the realm of numerical approximations, the systematic exploitation of symmetry via group repre sentation theory is even more recent. In the hope of stimulating interaction and acquaintance with results and problems in the various fields of applications, bifurcation theory and numerical analysis, we organized the conference and workshop Bifurcation and Symmetry: Cross Influences between Mathematics and Applications during June 27,814, 1991 at the Philipps University of Marburg, Germany
Linear algebra and differential equations using MATLAB by
Martin Golubitsky(
Book
)
18 editions published between 1998 and 2001 in English and Spanish and held by 168 WorldCat member libraries worldwide
Solución de ecuaciones lineales  Matrices y linealidad  Solución de ecuaciones diferenciales ordinarias  Espacios vectoriales  Soluciones en forma cerrada para ecuaciones diferenciales ordinarias planares  Teoría cualitativa de las ecuaciones diferenciales ordinarias planares  Determinantes y eigenvalores  Mapeos lineales y cambios de coordenadas  Ortogonalidad  Sistemas autónomos planares no lineales  Teoría de la bifurcación  Matrices en forma normales  Sistemas de dimensión más alta  Ecuaciones diferenciales lineales  Transformadas de Laplace  Otras técnicas para resolver ecuaciones diferenciales ordinarias  Soluciones numéricas de ecuaciones diferenciales ordinarias
18 editions published between 1998 and 2001 in English and Spanish and held by 168 WorldCat member libraries worldwide
Solución de ecuaciones lineales  Matrices y linealidad  Solución de ecuaciones diferenciales ordinarias  Espacios vectoriales  Soluciones en forma cerrada para ecuaciones diferenciales ordinarias planares  Teoría cualitativa de las ecuaciones diferenciales ordinarias planares  Determinantes y eigenvalores  Mapeos lineales y cambios de coordenadas  Ortogonalidad  Sistemas autónomos planares no lineales  Teoría de la bifurcación  Matrices en forma normales  Sistemas de dimensión más alta  Ecuaciones diferenciales lineales  Transformadas de Laplace  Otras técnicas para resolver ecuaciones diferenciales ordinarias  Soluciones numéricas de ecuaciones diferenciales ordinarias
Pattern formation in continuous and coupled systems : a survey volume by
Martin Golubitsky(
Book
)
9 editions published in 1999 in English and held by 151 WorldCat member libraries worldwide
"This volume contains a number of minireview articles authored by speakers and attendees at the IMA workshop on pattern formation in continuous and coupled systems. Pattern formation has been studied intensively for most of this century by both experimentalists and theoreticians. This workshop focused on new directions in the patterns literature. Systems that generate new types of pattern such as discrete coupled systems, systems with global coupling, and combustion experiments were stressed, as were new types of pattern."Jacket
9 editions published in 1999 in English and held by 151 WorldCat member libraries worldwide
"This volume contains a number of minireview articles authored by speakers and attendees at the IMA workshop on pattern formation in continuous and coupled systems. Pattern formation has been studied intensively for most of this century by both experimentalists and theoreticians. This workshop focused on new directions in the patterns literature. Systems that generate new types of pattern such as discrete coupled systems, systems with global coupling, and combustion experiments were stressed, as were new types of pattern."Jacket
Singularities and groups in bifurcation theory by
Martin Golubitsky(
Book
)
25 editions published between 1985 and 2000 in English and held by 141 WorldCat member libraries worldwide
Bifurcation theory studies how the structure of solutions to equations changes as parameters are varied. The nature of these changes depends both on the number of parameters and on the symmetries of the equations. Volume I discusses how singularitytheoretic techniques aid the understanding of transitions in multiparameter systems. This volume focuses on bifurcation problems with symmetry and shows how grouptheoretic techniques aid the understanding of transitions in symmetric systems. Four broad topics are covered: group theory and steadystate bifurcation, equicariant singularity theory, Hopf bifurcation with symmetry, and mode interactions. The opening chapter provides an introduction to these subjects and motivates the study of systems with symmetry. Detailed case studies illustrate how grouptheoretic methods can be used to analyze specific problems arising in applications
25 editions published between 1985 and 2000 in English and held by 141 WorldCat member libraries worldwide
Bifurcation theory studies how the structure of solutions to equations changes as parameters are varied. The nature of these changes depends both on the number of parameters and on the symmetries of the equations. Volume I discusses how singularitytheoretic techniques aid the understanding of transitions in multiparameter systems. This volume focuses on bifurcation problems with symmetry and shows how grouptheoretic techniques aid the understanding of transitions in symmetric systems. Four broad topics are covered: group theory and steadystate bifurcation, equicariant singularity theory, Hopf bifurcation with symmetry, and mode interactions. The opening chapter provides an introduction to these subjects and motivates the study of systems with symmetry. Detailed case studies illustrate how grouptheoretic methods can be used to analyze specific problems arising in applications
Singularities and groups in bifurcation theory by
Martin Golubitsky(
Book
)
9 editions published in 1985 in English and German and held by 68 WorldCat member libraries worldwide
9 editions published in 1985 in English and German and held by 68 WorldCat member libraries worldwide
Singularities and groups in bifurcation theory by
Martin Golubitsky(
Book
)
7 editions published between 1985 and 2010 in English and held by 61 WorldCat member libraries worldwide
7 editions published between 1985 and 2010 in English and held by 61 WorldCat member libraries worldwide
Singularities and groups in bifurcation theory by
Martin Golubitsky(
Book
)
4 editions published in 1988 in English and Undetermined and held by 17 WorldCat member libraries worldwide
4 editions published in 1988 in English and Undetermined and held by 17 WorldCat member libraries worldwide
Turings tijger : het universum en de theorie van alles by
Ian Stewart(
Book
)
1 edition published in 1994 in Dutch and held by 13 WorldCat member libraries worldwide
Bespreking van theorieën die een rol spelen bij het zoeken naar verklaringen voor het optreden van regelmatigheden in de natuur
1 edition published in 1994 in Dutch and held by 13 WorldCat member libraries worldwide
Bespreking van theorieën die een rol spelen bij het zoeken naar verklaringen voor het optreden van regelmatigheden in de natuur
Introduction to partial differential equations : a computational approach by
Aslak Tveito(
)
6 editions published between 1998 and 2005 in English and held by 9 WorldCat member libraries worldwide
Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the cl sical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Ma ematical Sciences (AMS) series, which will focus on advanced textbooks and researchlevel monographs. Preface "It is impossible to exaggerate the extent to which modern applied mathematics has been shaped and fueled by the g eral availability of fast computers with large memories. Their impact on mathematics, both applied and pure, is comparable to the role of the telescopes in astronomy and microscopes in biology."  Peter Lax, Siam Rev. Vol. 31 No. 4 Congratulations! You have chosen to study partial differential equations
6 editions published between 1998 and 2005 in English and held by 9 WorldCat member libraries worldwide
Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the cl sical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Ma ematical Sciences (AMS) series, which will focus on advanced textbooks and researchlevel monographs. Preface "It is impossible to exaggerate the extent to which modern applied mathematics has been shaped and fueled by the g eral availability of fast computers with large memories. Their impact on mathematics, both applied and pure, is comparable to the role of the telescopes in astronomy and microscopes in biology."  Peter Lax, Siam Rev. Vol. 31 No. 4 Congratulations! You have chosen to study partial differential equations
Bifurcations, patterns and symmetry : selected papers dedicated to the memory of John David Crawford(
Book
)
4 editions published in 2000 in English and held by 9 WorldCat member libraries worldwide
4 editions published in 2000 in English and held by 9 WorldCat member libraries worldwide
Symmetry of attractors and the KarhunenLoève decomposition by
Michael Dellnitz(
Book
)
1 edition published in 1993 in German and held by 7 WorldCat member libraries worldwide
1 edition published in 1993 in German and held by 7 WorldCat member libraries worldwide
On the convergence of the age structure by
Martin Golubitsky(
Book
)
1 edition published in 1973 in English and held by 7 WorldCat member libraries worldwide
1 edition published in 1973 in English and held by 7 WorldCat member libraries worldwide
Detecting the symmetry of attractors by
Ernest Barany(
Book
)
1 edition published in 1992 in English and held by 7 WorldCat member libraries worldwide
1 edition published in 1992 in English and held by 7 WorldCat member libraries worldwide
Scientific Computing with Ordinary Differential Equations by
Jerrold E Marsden(
)
1 edition published in 2002 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 2002 in English and held by 0 WorldCat member libraries worldwide
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Related Identities
 Stewart, Ian 1945 Author
 Field, Mike Author
 Schaeffer, David G.
 Guillemin, Victor 1937 Author
 Society for Industrial and Applied Mathematics Other Editor
 Guckenheimer, John Other Editor
 American Mathematical Society Other Editor
 Institute of Mathematical Statistics Other Editor
 Böhmer, K. (Klaus) 1936 Other Editor
 Allgower, E. L. (Eugene L.) Other Author Editor
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Associated Subjects
Age distribution (Demography)Mathematical models Algebras, LinearData processing Arts Bifurcation theory Chaotic behavior in systems Computer science Differentiable dynamical systems Differentiable mappings Differential equations, Partial Differential equationsData processing Environmental sciences Functions of complex variables Geometry Global analysis (Mathematics) Group theory Humanities Manifolds (Mathematics) Mappings (Mathematics) Mathematical physics Mathematics MATLAB Numerical analysis Pattern formation (Physical sciences) Physics Singularities (Mathematics) Symmetry Symmetry (Mathematics)
Alternative Names
Golubickij, M.
Golubickij, M. 1945
Golubitsky, M.
Golubitsky, M. 1945
Golubitsky, M. (Martin)
Golubitsky, M. (Martin), 1945
Golubitsky, Martin
Golubitsky, Marty.
Golubitsky, Marty 1945
Martin Golubitsky USamerikanischer Mathematiker
Marty Golubitsky Amerikaans wiskundige
Marty Golubitsky mathématicien américain
Голубицкий, M.
ゴルビツキー, マーティン
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