Holmes, Philip 1945
Overview
Works:  41 works in 217 publications in 3 languages and 4,174 library holdings 

Genres:  Conference proceedings Biography 
Roles:  Author, Editor, Author of introduction 
Classifications:  QA1, 006.6 
Publication Timeline
.
Most widely held works by
Philip Holmes
Nonlinear oscillations, dynamical systems, and bifurcations of vector fields by
John Guckenheimer(
Book
)
73 editions published between 1983 and 2002 in English and Undetermined and held by 1,201 WorldCat member libraries worldwide
Suggestions for further reading
73 editions published between 1983 and 2002 in English and Undetermined and held by 1,201 WorldCat member libraries worldwide
Suggestions for further reading
Celestial encounters : the origins of chaos and stability by
Florin Diacu(
Book
)
12 editions published between 1996 and 1999 in English and held by 723 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
12 editions published between 1996 and 1999 in English and held by 723 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
)
28 editions published between 1996 and 2012 in English and held by 534 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
28 editions published between 1996 and 2012 in English and held by 534 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 338 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 338 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
Geometry, mechanics, and dynamics : volume in honor of the 60th birthday of J.E. Marsden(
Book
)
13 editions published between 1899 and 2005 in English and held by 159 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
13 editions published between 1899 and 2005 in English and held by 159 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 100 WorldCat member libraries worldwide
4 editions published in 1986 in English and held by 100 WorldCat member libraries worldwide
A place to stand : poems 196976 by
Philip Holmes(
Book
)
4 editions published in 1977 in English and held by 93 WorldCat member libraries worldwide
4 editions published in 1977 in English and held by 93 WorldCat member libraries worldwide
Lighting the steps : poems, 19852001 by
Philip Holmes(
Book
)
2 editions published in 2002 in English and held by 58 WorldCat member libraries worldwide
2 editions published in 2002 in English and held by 58 WorldCat member libraries worldwide
New approaches to nonlinear problems in dynamics by Conference on New Approaches to Nonlinear Problems in Dynamics(
Book
)
10 editions published in 1980 in English and held by 25 WorldCat member libraries worldwide
10 editions published in 1980 in English and held by 25 WorldCat member libraries worldwide
Low dimensional models of coherent structures in turbulence(
Book
)
4 editions published in 1997 in English and held by 10 WorldCat member libraries worldwide
4 editions published in 1997 in English and held by 10 WorldCat member libraries worldwide
Stable and random motions in dynamical systems: with special emphasis on celestial mechanics by
Jrgen Moser(
Book
)
3 editions published in 2001 in English and held by 7 WorldCat member libraries worldwide
3 editions published in 2001 in English and held by 7 WorldCat member libraries worldwide
Models for Individual DecisionMaking with Social Feedback by Andrea Nedic(
Book
)
1 edition published in 2011 in English and held by 2 WorldCat member libraries worldwide
To investigate the influence of input from fellow group members in a constrained decisionmaking context, we develop four 2armed bandit tasks in which subjects freely select one of two options (A or B) and are informed of the resulting reward following each choice. Rewards are determined by the fraction x of past A choices by two functions fA(x), fB(x) (unknown to the subject) which intersect at a matching point x & tilde; that does not generally represent globallyoptimal behavior. Each task is designed to probe a different type of behavior, and subjects work in groups of five with feedback of other group members' choices, of their rewards, of both, or with no knowledge of others' behavior. We employ a softmax choice model that emerges from a driftdiffusion process, commonly used to model perceptual decision making with noisy stimuli. Here the stimuli are replaced by estimates of expected rewards produced by a temporaldifference reinforcementlearning algorithm, augmented to include appropriate feedback terms. Models are fitted for each task and feedback condition, and we use them to compare choice allocations averaged across subjects and individual choice sequences to highlight differences between tasks and intersubject differences. The most complex model, involving both choice and reward feedback, contains only four parameters, but nonetheless reveals significant differences in individual strategies. Strikingly, we find that rewards feedback can be either detrimental or advantageous to performance, depending upon the task
1 edition published in 2011 in English and held by 2 WorldCat member libraries worldwide
To investigate the influence of input from fellow group members in a constrained decisionmaking context, we develop four 2armed bandit tasks in which subjects freely select one of two options (A or B) and are informed of the resulting reward following each choice. Rewards are determined by the fraction x of past A choices by two functions fA(x), fB(x) (unknown to the subject) which intersect at a matching point x & tilde; that does not generally represent globallyoptimal behavior. Each task is designed to probe a different type of behavior, and subjects work in groups of five with feedback of other group members' choices, of their rewards, of both, or with no knowledge of others' behavior. We employ a softmax choice model that emerges from a driftdiffusion process, commonly used to model perceptual decision making with noisy stimuli. Here the stimuli are replaced by estimates of expected rewards produced by a temporaldifference reinforcementlearning algorithm, augmented to include appropriate feedback terms. Models are fitted for each task and feedback condition, and we use them to compare choice allocations averaged across subjects and individual choice sequences to highlight differences between tasks and intersubject differences. The most complex model, involving both choice and reward feedback, contains only four parameters, but nonetheless reveals significant differences in individual strategies. Strikingly, we find that rewards feedback can be either detrimental or advantageous to performance, depending upon the task
The evolution of cellular structures via curvature flow by Emanuel A Lazar(
Book
)
1 edition published in 2011 in English and held by 2 WorldCat member libraries worldwide
This dissertation explores cellular structures that evolve over time, primarily through curvature flow. This models coarsening in isotropic polycrystalline materials, an energyminimizing process in which small cells gradually disappear and the average cell size increases
1 edition published in 2011 in English and held by 2 WorldCat member libraries worldwide
This dissertation explores cellular structures that evolve over time, primarily through curvature flow. This models coarsening in isotropic polycrystalline materials, an energyminimizing process in which small cells gradually disappear and the average cell size increases
A place to stand by
Philip Holmes(
Book
)
2 editions published in 1977 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1977 in English and held by 2 WorldCat member libraries worldwide
Reluctant hero : the John Holmes story by
Philip Holmes(
Book
)
1 edition published in 2010 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2010 in English and held by 2 WorldCat member libraries worldwide
Unsteady aerodynamic models for agile flight at low Reynolds numbers by Steven L Brunton(
Book
)
1 edition published in 2012 in English and held by 2 WorldCat member libraries worldwide
A number of computational tools are developed throughout this work. Highly unsteady maneuvers are visualized using finitetime Lyapunov exponent fields, which highlight separated flows and wake structures. A new fast method of computing these fields is presented. In addition, we generalize the immersed boundary projection method computations to use a moving base flow, which allows for the simulation of complex geometries undergoing large motions with up to an order of magnitude speedup
1 edition published in 2012 in English and held by 2 WorldCat member libraries worldwide
A number of computational tools are developed throughout this work. Highly unsteady maneuvers are visualized using finitetime Lyapunov exponent fields, which highlight separated flows and wake structures. A new fast method of computing these fields is presented. In addition, we generalize the immersed boundary projection method computations to use a moving base flow, which allows for the simulation of complex geometries undergoing large motions with up to an order of magnitude speedup
Geometry, Mechanics, and Dynamics by
Paul K Newton(
Book
)
5 editions published in 2002 in English and held by 1 WorldCat member library 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
5 editions published in 2002 in English and held by 1 WorldCat member library 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
Chaos and fractals : the mathematics behind the computer graphics(
Book
)
2 editions published in 1989 in English and held by 1 WorldCat member library worldwide
2 editions published in 1989 in English and held by 1 WorldCat member library worldwide
Introduction to Hamiltonian dynamical systems and the nbody problem by
Kenneth R Meyer(
)
4 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
4 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
 Marsden, Jerrold E. Honoree
 Newton, Paul K. Author Editor
 Weinstein, Alan 1943 Editor
 Ghrist, Robert W. 1969 Author
 Sullivan, Michael C. 1959
 Lumley, John L. (John Leask) 1930
 Berkooz, Gal
 Keener, James
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Associated Subjects
Bifurcation theory Celestial mechanics Cell aggregationMathematics Chaotic behavior in systems Computer graphics Computer graphicsMathematics Differentiable dynamical systems Dynamics Engineering England English poetry Flows (Differentiable dynamical systems) Fractals Global analysis (Mathematics) Hamiltonian systems Knot theory Link theory Manybody problem Mathematical physics Mathematics Mechanics, Analytic Mechanics, Applied Nonlinear mechanics Nonlinear oscillations Nonlinear theories Nucleonnucleon scattering Physics Rugby League football players Thermodynamics Turbulence Vector fields
Alternative Names
Holmes, P.
Holmes, P. J. 1945
Holmes, Phil 1945
Holmes, Philip.
Holmes, Philip J. 1945
Holmes, Philip John 1945
Philip Holmes amerikansk ingenir og matematikar
Philip Holmes amerikansk ingenir og matematiker
Philip Holmes amerikansk ingenjr och matematiker
Philip Holmes mathmaticien amricain
Philip Holmes USamerikanischer Mathematiker
فيليب هولمز
فیلیپ هولمز ریاضیدان و مهندس آمریکایی
ホームズ, P
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