Holmes, Philip 1945
Overview
Works:  44 works in 277 publications in 5 languages and 4,548 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Author of introduction 
Publication Timeline
.
Most widely held works by
Philip Holmes
Nonlinear oscillations, dynamical systems, and bifurcations of vector fields by
John Guckenheimer(
Book
)
84 editions published between 1983 and 2002 in English and Undetermined and held by 1,279 WorldCat member libraries worldwide
Suggestions for further reading
84 editions published between 1983 and 2002 in English and Undetermined and held by 1,279 WorldCat member libraries worldwide
Suggestions for further reading
Celestial encounters : the origins of chaos and stability by
Florin Diacu(
Book
)
16 editions published between 1993 and 2005 in English and Chinese and held by 731 WorldCat member libraries worldwide
Celestial Encounters is for anyone who has ever wondered about the foundations of chaos. In 1888, the 34yearold Henri Poincare submitted a paper that was to change the course of science, but not before it underwent significant changes itself. "The ThreeBody Problem and the Equations of Dynamics" won a prize sponsored by King Oscar II of Sweden and Norway and the journal Acta Mathematica, but after accepting the prize, Poincare found a serious mistake in his work. While correcting it, he discovered the phenomenon of chaos. Starting with the story of Poincare's work, Florin Diacu and Philip Holmes trace the history of attempts to solve the problems of celestial mechanics first posed in Isaac Newton's Principia in 1686. In describing how mathematical rigor was brought to bear on one of our oldest fascinationsthe motions of the heavensthey introduce the people whose ideas led to the flourishing field now called nonlinear dynamics. In presenting the modern theory of dynamical systems, the models underlying much of modern science are described pictorially, using the geometrical language invented by Poincare
16 editions published between 1993 and 2005 in English and Chinese and held by 731 WorldCat member libraries worldwide
Celestial Encounters is for anyone who has ever wondered about the foundations of chaos. In 1888, the 34yearold Henri Poincare submitted a paper that was to change the course of science, but not before it underwent significant changes itself. "The ThreeBody Problem and the Equations of Dynamics" won a prize sponsored by King Oscar II of Sweden and Norway and the journal Acta Mathematica, but after accepting the prize, Poincare found a serious mistake in his work. While correcting it, he discovered the phenomenon of chaos. Starting with the story of Poincare's work, Florin Diacu and Philip Holmes trace the history of attempts to solve the problems of celestial mechanics first posed in Isaac Newton's Principia in 1686. In describing how mathematical rigor was brought to bear on one of our oldest fascinationsthe motions of the heavensthey introduce the people whose ideas led to the flourishing field now called nonlinear dynamics. In presenting the modern theory of dynamical systems, the models underlying much of modern science are described pictorially, using the geometrical language invented by Poincare
Turbulence, coherent structures, dynamical systems, and symmetry by
Philip Holmes(
Book
)
34 editions published between 1996 and 2012 in English and held by 574 WorldCat member libraries worldwide
This book introduces these developments and describes how they may be combined to create lowdimensional models of turbulence, resolving only by the coherent structures. This book will interest engineers, especially in the aerospace, chemical, civil, environmental, and geophysical areas, as well as physicists and applied mathematicians concerned with turbulence
34 editions published between 1996 and 2012 in English and held by 574 WorldCat member libraries worldwide
This book introduces these developments and describes how they may be combined to create lowdimensional models of turbulence, resolving only by the coherent structures. This book will interest engineers, especially in the aerospace, chemical, civil, environmental, and geophysical areas, as well as physicists and applied mathematicians concerned with turbulence
Knots and links in threedimensional flows by
Robert W Ghrist(
Book
)
21 editions published in 1997 in 3 languages and held by 345 WorldCat member libraries worldwide
The closed orbits of threedimensional flows form knots and links. This book develops the tools  template theory and symbolic dynamics  needed for studying knotted orbits. This theory is applied to the problems of understanding local and global bifurcations, as well as the embedding data of orbits in Morsesmale, Smale, and integrable Hamiltonian flows. The necesssary background theory is sketched; however, some familiarity with lowdimensional topology and differential equations is assumed
21 editions published in 1997 in 3 languages and held by 345 WorldCat member libraries worldwide
The closed orbits of threedimensional flows form knots and links. This book develops the tools  template theory and symbolic dynamics  needed for studying knotted orbits. This theory is applied to the problems of understanding local and global bifurcations, as well as the embedding data of orbits in Morsesmale, Smale, and integrable Hamiltonian flows. The necesssary background theory is sketched; however, some familiarity with lowdimensional topology and differential equations is assumed
New approaches to nonlinear problems in dynamics by
Philip Holmes(
Book
)
19 editions published in 1980 in English and held by 259 WorldCat member libraries worldwide
19 editions published in 1980 in English and held by 259 WorldCat member libraries worldwide
Geometry, mechanics, and dynamics : volume in honor of the 60th birthday of J.E. Marsden by
Paul K Newton(
Book
)
21 editions published between 1899 and 2005 in English and held by 176 WorldCat member libraries worldwide
This volume aims to acknowledge J.E. Marsden's influence as a teacher, propagator of new ideas, and mentor of young talent. It presents both survey articles and research articles in the fields that represent the main themes of his work, including elesticity and analysis, fluid mechanics, dynamical systems theory, geometric mechanics, geometric control theory, and relativity and quantum mechanics. The common thread throughout is the use of geometric methods that serve to unify diverse disciplines and bring a wide variety of scientists and mathematicians together in a way that enhances dialogue and encourages cooperation. This book may serve as a guide to rapidly evolving areas as well as a resource both for students who want to work in one of these fields and practitioners who seek a broader view
21 editions published between 1899 and 2005 in English and held by 176 WorldCat member libraries worldwide
This volume aims to acknowledge J.E. Marsden's influence as a teacher, propagator of new ideas, and mentor of young talent. It presents both survey articles and research articles in the fields that represent the main themes of his work, including elesticity and analysis, fluid mechanics, dynamical systems theory, geometric mechanics, geometric control theory, and relativity and quantum mechanics. The common thread throughout is the use of geometric methods that serve to unify diverse disciplines and bring a wide variety of scientists and mathematicians together in a way that enhances dialogue and encourages cooperation. This book may serve as a guide to rapidly evolving areas as well as a resource both for students who want to work in one of these fields and practitioners who seek a broader view
3 sections of poems by
Philip Holmes(
Book
)
5 editions published in 1971 in English and held by 101 WorldCat member libraries worldwide
5 editions published in 1971 in English and held by 101 WorldCat member libraries worldwide
The green road : poems, 19771985 by
Philip Holmes(
Book
)
4 editions published in 1986 in English and held by 99 WorldCat member libraries worldwide
4 editions published in 1986 in English and held by 99 WorldCat member libraries worldwide
A place to stand : poems 196976 by
Philip Holmes(
Book
)
6 editions published in 1977 in English and held by 97 WorldCat member libraries worldwide
6 editions published in 1977 in English and held by 97 WorldCat member libraries worldwide
Lighting the steps : poems, 19852001 by
Philip Holmes(
Book
)
2 editions published in 2002 in English and held by 60 WorldCat member libraries worldwide
2 editions published in 2002 in English and held by 60 WorldCat member libraries worldwide
Low dimensional models of coherent structures in turbulence(
Book
)
5 editions published in 1997 in English and held by 11 WorldCat member libraries worldwide
5 editions published in 1997 in English and held by 11 WorldCat member libraries worldwide
Stable and random motions in dynamical systems: with special emphasis on celestial mechanics by
Jürgen Moser(
Book
)
6 editions published in 2001 in English and held by 11 WorldCat member libraries worldwide
For centuries, astronomers have been interested in the motions of the planets and in methods to calculate their orbits. Since Newton, mathematicians have been fascinated by the related Nbody problem. They seek to find solutions to the equations of motion for N masspoints interacting with an inversesquarelaw force and to determine whether there are quasiperiodic orbits or not. Attempts to answer such questions have led to the techniques of nonlinear dynamics and chaos theory. In this book, a classic work of modern applied mathematics, Jürgen Moser presents a succinct account of two pillars of the theory: stable and chaotic behavior. He discusses cases in which Nbody motions are stable, covering topics such as Hamiltonian systems, the (Moser) twist theorem, and aspects of KolmogorovArnoldMoser theory. He then explores chaotic orbits, exemplified in a restricted threebody problem, and describes the existence and importance of homoclinic points. This book is indispensable for mathematicians, physicists, and astronomers interested in the dynamics of few and manybody systems and in fundamental ideas and methods for their analysis. After thirty years, Moser's lectures are still one of the best entrées to the fascinating worlds of order and chaos in dynamics
6 editions published in 2001 in English and held by 11 WorldCat member libraries worldwide
For centuries, astronomers have been interested in the motions of the planets and in methods to calculate their orbits. Since Newton, mathematicians have been fascinated by the related Nbody problem. They seek to find solutions to the equations of motion for N masspoints interacting with an inversesquarelaw force and to determine whether there are quasiperiodic orbits or not. Attempts to answer such questions have led to the techniques of nonlinear dynamics and chaos theory. In this book, a classic work of modern applied mathematics, Jürgen Moser presents a succinct account of two pillars of the theory: stable and chaotic behavior. He discusses cases in which Nbody motions are stable, covering topics such as Hamiltonian systems, the (Moser) twist theorem, and aspects of KolmogorovArnoldMoser theory. He then explores chaotic orbits, exemplified in a restricted threebody problem, and describes the existence and importance of homoclinic points. This book is indispensable for mathematicians, physicists, and astronomers interested in the dynamics of few and manybody systems and in fundamental ideas and methods for their analysis. After thirty years, Moser's lectures are still one of the best entrées to the fascinating worlds of order and chaos in dynamics
Nonlinear stability of axisymmetric swirling flows by
A. Z Szeri(
Book
)
2 editions published in 1988 in English and held by 9 WorldCat member libraries worldwide
2 editions published in 1988 in English and held by 9 WorldCat member libraries worldwide
Poincaré, celestial mechanics, dynamicalsystems theory and "chaos" by
Philip Holmes(
Book
)
3 editions published in 1990 in English and held by 9 WorldCat member libraries worldwide
3 editions published in 1990 in English and held by 9 WorldCat member libraries worldwide
Vilhelm Moberg: Utvandrarna by
Philip Holmes(
Book
)
3 editions published in 1976 in English and held by 8 WorldCat member libraries worldwide
3 editions published in 1976 in English and held by 8 WorldCat member libraries worldwide
Tentai rikigaku no paioniatachi(
Book
)
8 editions published in 2004 in Japanese and held by 6 WorldCat member libraries worldwide
8 editions published in 2004 in Japanese and held by 6 WorldCat member libraries worldwide
Chaos and fractals : the mathematics behind the computer graphics by
Robert L Devaney(
Book
)
2 editions published in 1989 in English and held by 1 WorldCat member library worldwide
The terms chaos and fractals have received widespread attention in recent years. The alluring computer graphics images associated with these terms have heightened interest among scientists in these ideas. This volume contains the introductory survey lectures delivered in the American Mathematical Society Short Course, Chaos and Fractals: The Mathematics Behind the Computer Graphics, on August 67, 1988, given in conjunction with the AMS Centennial Meeting in Providence, Rhode Island. In his overview, Robert L. Devaney introduces such key topics as hyperbolicity, the period doubling route to chaos, chaotic dynamics, symbolic dynamics and the horseshoe, and the appearance of fractals as the chaotic set for a dynamical system. Linda Keen and Bodil Branner discuss the Mandelbrot set and Julia sets associated to the complex quadratic family z > z² + c. Kathleen T. Alligood, James A. Yorke, and Philip J. Holmes discuss some of these topics in higher dimensional settings, including the Smale horseshoe and strange attractors. Jenny Harrison and Michael F. Barnsley give an overview of fractal geometry and its applications.  from dust jacket
2 editions published in 1989 in English and held by 1 WorldCat member library worldwide
The terms chaos and fractals have received widespread attention in recent years. The alluring computer graphics images associated with these terms have heightened interest among scientists in these ideas. This volume contains the introductory survey lectures delivered in the American Mathematical Society Short Course, Chaos and Fractals: The Mathematics Behind the Computer Graphics, on August 67, 1988, given in conjunction with the AMS Centennial Meeting in Providence, Rhode Island. In his overview, Robert L. Devaney introduces such key topics as hyperbolicity, the period doubling route to chaos, chaotic dynamics, symbolic dynamics and the horseshoe, and the appearance of fractals as the chaotic set for a dynamical system. Linda Keen and Bodil Branner discuss the Mandelbrot set and Julia sets associated to the complex quadratic family z > z² + c. Kathleen T. Alligood, James A. Yorke, and Philip J. Holmes discuss some of these topics in higher dimensional settings, including the Smale horseshoe and strange attractors. Jenny Harrison and Michael F. Barnsley give an overview of fractal geometry and its applications.  from dust jacket
Heteroclinic cycles and modulated travelling waves in systems with 0(2) symmetry by Dieter Armburster(
Book
)
2 editions published in 1987 in English and held by 1 WorldCat member library worldwide
2 editions published in 1987 in English and held by 1 WorldCat member library worldwide
Turbulence, Coherent Structures, Symmetry and Dynamical Systems by
Philip Holmes(
)
1 edition published in 2010 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 2010 in English and held by 0 WorldCat member libraries worldwide
Introduction to Hamiltonian dynamical systems and the nbody problem by
Kenneth R Meyer(
)
2 editions published in 2009 in English and held by 0 WorldCat member libraries worldwide
This text grew out of graduate level courses in mathematics, engineering and physics given at several universities. The courses took students who had some background in differential equations and lead them through a systematic grounding in the theory of Hamiltonian mechanics from a dynamical systems point of view. Topics covered include a detailed discussion of linear Hamiltonian systems, an introduction to variational calculus and the Maslov index, the basics of the symplectic group, an introduction to reduction, applications of Poincaré's continuation to periodic solutions, the use of normal forms, applications of fixed point theorems and KAM theory. There is a special chapter devoted to finding symmetric periodic solutions by calculus of variations methods. The main examples treated in this text are the Nbody problem and various specialized problems like the restricted threebody problem. The theory of the Nbody problem is used to illustrate the general theory. Some of the topics covered are the classical integrals and reduction, central configurations, the existence of periodic solutions by continuation and variational methods, stability and instability of the Lagrange triangular point. Ken Meyer is an emeritus professor at the University of Cincinnati, Glen Hall is an associate professor at Boston University, and Dan Offin is a professor at Queen's University
2 editions published in 2009 in English and held by 0 WorldCat member libraries worldwide
This text grew out of graduate level courses in mathematics, engineering and physics given at several universities. The courses took students who had some background in differential equations and lead them through a systematic grounding in the theory of Hamiltonian mechanics from a dynamical systems point of view. Topics covered include a detailed discussion of linear Hamiltonian systems, an introduction to variational calculus and the Maslov index, the basics of the symplectic group, an introduction to reduction, applications of Poincaré's continuation to periodic solutions, the use of normal forms, applications of fixed point theorems and KAM theory. There is a special chapter devoted to finding symmetric periodic solutions by calculus of variations methods. The main examples treated in this text are the Nbody problem and various specialized problems like the restricted threebody problem. The theory of the Nbody problem is used to illustrate the general theory. Some of the topics covered are the classical integrals and reduction, central configurations, the existence of periodic solutions by continuation and variational methods, stability and instability of the Lagrange triangular point. Ken Meyer is an emeritus professor at the University of Cincinnati, Glen Hall is an associate professor at Boston University, and Dan Offin is a professor at Queen's University
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Related Identities
 Guckenheimer, John Author
 Diacu, Florin 1959 Author
 Ghrist, Robert W. 1969 Author
 Lumley, John L. (John Leask) 1930
 Sullivan, Michael C. 1959
 Berkooz, Gal
 Marsden, Jerrold E. Honoree
 Weinstein, Alan 1943 Editor
 Newton, Paul K. Author Editor
 Engineering Foundation (U.S.) Publisher
Useful Links
Associated Subjects
Bifurcation theory Celestial mechanics Cell aggregationMathematics Chaotic behavior in systems Coherent states Computer graphics Computer graphicsMathematics Differentiable dynamical systems Dynamics Engineering English poetry Ergodic theory Flows (Differentiable dynamical systems) Fluid dynamics Fractals Global analysis (Mathematics) Hamiltonian systems Knot theory Link theory Lyapunov functions Manybody problem Mathematical physics Mathematics Mechanics, Analytic Mechanics, Applied Nonlinear mechanics Nonlinear oscillations Nonlinear theories Physics Stability Thermodynamics Turbulence Utvandrarna (Moberg, Vilhelm) Vector fields Vibration Vortexmotion
Alternative Names
Holmes, P.
Holmes, P. J. 1945
Holmes, Phil 1945
Holmes, Philip.
Holmes, Philip J.
Holmes, Philip J. 1945
Holmes, Philip John 1945
Philip Holmes Amerikaans wiskundige
Philip Holmes amerikansk ingeniør og matematikar
Philip Holmes amerikansk ingeniør og matematiker
Philip Holmes amerikansk ingenjör och matematiker
Philip Holmes matemático estadounidense
Philip Holmes matematico statunitense
Philip Holmes mathématicien américain
Philip Holmes USamerikanischer Mathematiker
Филип Холмс
فيليب هولمز
فيليب هولمز رياضياتي أمريكي
فیلیپ هولمز ریاضیدان و مهندس آمریکایی
ホームズ, P
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