Sattinger, David H.
Overview
Works:  29 works in 177 publications in 3 languages and 3,219 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Other 
Classifications:  QA3, 510.8 S 
Publication Timeline
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Most widely held works by
David H Sattinger
Nonlinear problems in the physical sciences and biology; proceedings of a Battelle Summer Institute, Seattle, July 328, 1972 by
Ivar Stakgold(
Book
)
23 editions published between 1973 and 2008 in English and German and held by 480 WorldCat member libraries worldwide
23 editions published between 1973 and 2008 in English and German and held by 480 WorldCat member libraries worldwide
Group theoretic methods in bifurcation theory by
David H Sattinger(
Book
)
25 editions published between 1978 and 1979 in 3 languages and held by 466 WorldCat member libraries worldwide
25 editions published between 1978 and 1979 in 3 languages and held by 466 WorldCat member libraries worldwide
Topics in stability and bifurcation theory by
David H Sattinger(
Book
)
28 editions published between 1972 and 2008 in 3 languages and held by 440 WorldCat member libraries worldwide
28 editions published between 1972 and 2008 in 3 languages and held by 440 WorldCat member libraries worldwide
Branching in the presence of symmetry by
David H Sattinger(
Book
)
18 editions published between 1983 and 1988 in English and Undetermined and held by 312 WorldCat member libraries worldwide
A discussion of developments in the field of bifurcation theory, with emphasis on symmetry breaking and its interrelationship with singularity theory. The notions of universal solutions, symmetry breaking, and unfolding of singularities are discussed in detail. The book not only reviews recent mathematical developments but also provides a stimulus for further research in the field
18 editions published between 1983 and 1988 in English and Undetermined and held by 312 WorldCat member libraries worldwide
A discussion of developments in the field of bifurcation theory, with emphasis on symmetry breaking and its interrelationship with singularity theory. The notions of universal solutions, symmetry breaking, and unfolding of singularities are discussed in detail. The book not only reviews recent mathematical developments but also provides a stimulus for further research in the field
Solitons in physics, mathematics, and nonlinear optics by
Peter J Olver(
Book
)
13 editions published in 1990 in English and held by 258 WorldCat member libraries worldwide
This volume includes some of the lectures given at two workshops, "Solitons in Physics and Mathematics" and "Solitons in Nonlinear Optics and Plasma Physics" held during the 198889 IMA year on Nonlinear Waves. Since their discovery by Kruskal and Zabusky in the early 1960's, solitons have had a profound impact on many fields, ranging from engineering and physics to algebraic geometry. The present contributions represent only a fraction of these areas, but give the reader a good overview of several current research directions, including optics, fluid dynamics, inverse scattering, cellular automata, Bäcklund equations, symmetries and Hamiltonian systems
13 editions published in 1990 in English and held by 258 WorldCat member libraries worldwide
This volume includes some of the lectures given at two workshops, "Solitons in Physics and Mathematics" and "Solitons in Nonlinear Optics and Plasma Physics" held during the 198889 IMA year on Nonlinear Waves. Since their discovery by Kruskal and Zabusky in the early 1960's, solitons have had a profound impact on many fields, ranging from engineering and physics to algebraic geometry. The present contributions represent only a fraction of these areas, but give the reader a good overview of several current research directions, including optics, fluid dynamics, inverse scattering, cellular automata, Bäcklund equations, symmetries and Hamiltonian systems
Inverse scattering and applications by Conference on inverse scattering on the line(
Book
)
15 editions published in 1991 in English and held by 223 WorldCat member libraries worldwide
15 editions published in 1991 in English and held by 223 WorldCat member libraries worldwide
Scaling limits and models in physical processes by
Carlo Cercignani(
Book
)
14 editions published in 1998 in English and German and held by 198 WorldCat member libraries worldwide
This is an introductory text, in two parts, on scaling limits and modelling in equations of mathematical physics. The first part is concerned with basic concepts of the kinetic theory of gases which is not only important in its own right but also as a prototype of a mathematical construct central to the theory of nonequilibrium phenomena in large systems. It also features a very readable historic survey of the field. The second part dwells on the role of integrable systems for modelling weakly nonlinear equations which contain the effects of both dispersion and nonlinearity. Starting with a historical introduction to the subject and a description of numerical techniques, it proceeds to a discussion of the derivation of the Korteweg de Vries and nonlinear Schrödinger equations, followed by a careful treatment of the inverse scattering theory for the Schrödinger operator. The book provides an uptodate and detailed overview to this very active area of research and is intended as an accessible introduction for nonspecialists and graduate students in mathematics, physics and engineering
14 editions published in 1998 in English and German and held by 198 WorldCat member libraries worldwide
This is an introductory text, in two parts, on scaling limits and modelling in equations of mathematical physics. The first part is concerned with basic concepts of the kinetic theory of gases which is not only important in its own right but also as a prototype of a mathematical construct central to the theory of nonequilibrium phenomena in large systems. It also features a very readable historic survey of the field. The second part dwells on the role of integrable systems for modelling weakly nonlinear equations which contain the effects of both dispersion and nonlinearity. Starting with a historical introduction to the subject and a description of numerical techniques, it proceeds to a discussion of the derivation of the Korteweg de Vries and nonlinear Schrödinger equations, followed by a careful treatment of the inverse scattering theory for the Schrödinger operator. The book provides an uptodate and detailed overview to this very active area of research and is intended as an accessible introduction for nonspecialists and graduate students in mathematics, physics and engineering
Selected papers of Norman Levinson by
Norman Levinson(
Book
)
7 editions published in 1998 in English and held by 101 WorldCat member libraries worldwide
7 editions published in 1998 in English and held by 101 WorldCat member libraries worldwide
Les symetries des equations et leurs applications dans la mecanique et la physique by
David H Sattinger(
Book
)
4 editions published between 1980 and 1982 in French and held by 23 WorldCat member libraries worldwide
4 editions published between 1980 and 1982 in French and held by 23 WorldCat member libraries worldwide
Inverse scattering and its applications by AMSIMSSIAM Joint Summer Research Conference in the Mathematical Sciences on Inverse Scattering on the Line(
Book
)
3 editions published in 1991 in English and held by 17 WorldCat member libraries worldwide
3 editions published in 1991 in English and held by 17 WorldCat member libraries worldwide
Selected papers of Norman Levinson by
Norman Levinson(
Book
)
4 editions published in 1998 in English and held by 6 WorldCat member libraries worldwide
4 editions published in 1998 in English and held by 6 WorldCat member libraries worldwide
Selected papers of Norman Levinson by
Norman Levinson(
Book
)
3 editions published in 1998 in English and held by 3 WorldCat member libraries worldwide
3 editions published in 1998 in English and held by 3 WorldCat member libraries worldwide
The YangBaxter equation for integrable systems by
University of Minnesota(
Book
)
2 editions published in 1989 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1989 in English and held by 2 WorldCat member libraries worldwide
Branching in the presence of symmetry : (notes given at a CBMS conference; Gainesville  Fla., December 1418, 1981)(
Book
)
2 editions published in 1983 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1983 in English and held by 2 WorldCat member libraries worldwide
Solitons and nonlinear dispersive waves: by
David H Sattinger(
)
1 edition published in 1998 in English and held by 1 WorldCat member library worldwide
Description of a mathematical model to describe solitons in matlab
1 edition published in 1998 in English and held by 1 WorldCat member library worldwide
Description of a mathematical model to describe solitons in matlab
Gauge Theories and Spontaneous Symmetry Breaking(
Book
)
1 edition published in 1980 in English and held by 1 WorldCat member library worldwide
This report summarizes attempts to understand in what way spontaneous symmetry breaking arose in the context of guage field theories of elementary particles. The main interest was in knowing whether techniques of bifurcation theory could be applied to the problem of spontaneous symmetry breaking in gauge field theories. It was felt that the symmetry breaking used by the physicists (a procedure known as the Higgs mechanism) is not precisely a bifurcation problem in the usual sense of the term, but more a matter of fixing a guage and thereby reducing the amount of symmetry of the problem. In other words, it is not really a matter of 'spontaneous' symmetry breaking
1 edition published in 1980 in English and held by 1 WorldCat member library worldwide
This report summarizes attempts to understand in what way spontaneous symmetry breaking arose in the context of guage field theories of elementary particles. The main interest was in knowing whether techniques of bifurcation theory could be applied to the problem of spontaneous symmetry breaking in gauge field theories. It was felt that the symmetry breaking used by the physicists (a procedure known as the Higgs mechanism) is not precisely a bifurcation problem in the usual sense of the term, but more a matter of fixing a guage and thereby reducing the amount of symmetry of the problem. In other words, it is not really a matter of 'spontaneous' symmetry breaking
Partial differential equations of applied mathematics : lecture notes, Math 713, Fall 2003 by
David H Sattinger(
Book
)
1 edition published in 2003 in English and held by 1 WorldCat member library worldwide
1 edition published in 2003 in English and held by 1 WorldCat member library worldwide
Nonlinear problems in the physical sciences and biology by
Ivar Stakgold(
)
1 edition published in 1973 in English and held by 1 WorldCat member library worldwide
1 edition published in 1973 in English and held by 1 WorldCat member library worldwide
Integrable systems by
David H Sattinger(
Book
)
2 editions published in 1985 in English and held by 1 WorldCat member library worldwide
2 editions published in 1985 in English and held by 1 WorldCat member library worldwide
Nonlinear problems in the physical sciences and biology : proceedings of a Battelle Summer Institute, Seattle, July 328,
1978 by Battelle Seattle Research Center(
Book
)
in English and held by 1 WorldCat member library worldwide
in English and held by 1 WorldCat member library worldwide
more
fewer
Audience Level
0 

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Kids  General  Special 
Related Identities
 Stakgold, Ivar Author Editor
 Joseph, Daniel D. Editor
 Battelle Seattle Research Center
 Olver, Peter J. Other Author Editor
 Society for Industrial and Applied Mathematics Other Editor
 Cercignani, Carlo Author
 American Mathematical Society Other Editor
 Venakides, S. (Stephanos) Other Editor
 Institute of Mathematical Statistics Other Editor
 Tracy, C. A. Editor
Associated Subjects
Bifurcation theory Differential equations Differential equations, Partial Differential equations, PartialNumerical solutions Evolution equations, Nonlinear Functional equations Inverse problems (Differential equations) Lie groups Mathematical analysis Mathematical physics Mathematicians Mathematics Maxima and minima Nonlinear optics Nonlinear theories Physics Representations of groups Scaling laws (Statistical physics) Scattering (Mathematics) Singularities (Mathematics) Solitons Stability Symmetry groups Transport theory United States