WorldCat Identities

Holmes, Philip 1945-

Overview
Works: 51 works in 221 publications in 3 languages and 4,277 library holdings
Genres: Conference proceedings 
Roles: Author, Editor, Author of introduction
Classifications: QA1, 006.6
Publication Timeline
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Most widely held works by Philip Holmes
Nonlinear oscillations, dynamical systems, and bifurcations of vector fields by John Guckenheimer( Book )
70 editions published between 1983 and 2002 in English and Undetermined and held by 1,212 WorldCat member libraries worldwide
From the reviews: "This book is concerned with the application of methods from dynamical systems and bifurcation theories to the study of nonlinear oscillations. Chapter 1 provides a review of basic results in the theory of dynamical systems, covering both ordinary differential equations and discrete mappings. Chapter 2 presents 4 examples from nonlinear oscillations. Chapter 3 contains a discussion of the methods of local bifurcation theory for flows and maps, including center manifolds and normal forms. Chapter 4 develops analytical methods of averaging and perturbation theory. Close analysis of geometrically defined two-dimensional maps with complicated invariant sets is discussed in chapter 5. Chapter 6 covers global homoclinic and heteroclinic bifurcations. The final chapter shows how the global bifurcations reappear in degenerate local bifurcations and ends with several more models of physical problems which display these behaviors." #Book Review - Engineering Societies Library, New York#1 "An attempt to make research tools concerning `strange attractors' developed in the last 20 years available to applied scientists and to make clear to research mathematicians the needs in applied works. Emphasis on geometric and topological solutions of differential equations. Applications mainly drawn from nonlinear oscillations." #American Mathematical Monthly#2
Celestial encounters : the origins of chaos and stability by Florin Diacu( Book )
11 editions published between 1996 and 1999 in English and held by 722 WorldCat member libraries worldwide
Celestial Encounters is for anyone who has ever wondered about the foundations of chaos. In 1888, the 34-year-old Henri Poincare submitted a paper that was to change the course of science, but not before it underwent significant changes itself. "The Three-Body 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 fascinations--the motions of the heavens--they 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 608 WorldCat member libraries worldwide
This book introduces these developments and describes how they may be combined to create low-dimensional 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 three-dimensional flows by Robert W Ghrist( Book )
20 editions published in 1997 in 3 languages and held by 479 WorldCat member libraries worldwide
The closed orbits of three-dimensional 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 Morse-smale, Smale, and integrable Hamiltonian flows. The necesssary background theory is sketched; however, some familiarity with low-dimensional topology and differential equations is assumed
Geometry, mechanics, and dynamics volume in honor of the 60th birthday of J.E. Marsden ( )
13 editions published between 2002 and 2005 in English and held by 421 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
New approaches to nonlinear problems in dynamics by Conference on New Approaches to Nonlinear Problems in Dynamics( Book )
13 editions published in 1980 in English and held by 246 WorldCat member libraries worldwide
Geometry, mechanics, and dynamics by Paul Newton( )
2 editions published in 2002 in English and held by 142 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
The green road : poems, 1977-1985 by Philip Holmes( Book )
1 edition published in 1986 in English and held by 100 WorldCat member libraries worldwide
3 sections of poems by Philip Holmes( Book )
4 editions published in 1971 in English and held by 99 WorldCat member libraries worldwide
A place to stand : poems 1969-76 by Philip Holmes( Book )
3 editions published in 1977 in English and held by 94 WorldCat member libraries worldwide
Lighting the steps : poems, 1985-2001 by Philip Holmes( Book )
2 editions published in 2002 in English and held by 59 WorldCat member libraries worldwide
Chaos and fractals : the mathematics behind the computer graphics ( )
2 editions published in 1989 in English and held by 17 WorldCat member libraries worldwide
Vilhelm Moberg: Utvandrarna by Philip Holmes( Book )
2 editions published in 1976 in English and held by 8 WorldCat member libraries worldwide
Nonlinear stability of axisymmetric swirling flows by A. Z Szeri( Book )
1 edition published in 1988 in English and held by 7 WorldCat member libraries worldwide
Stable and random motions in dynamical systems: with special emphasis on celestial mechanics by Jürgen Moser( Book )
3 editions published in 2001 in English and held by 7 WorldCat member libraries worldwide
Low dimensional models of coherent structures in turbulence ( Book )
3 editions published in 1997 in English and held by 5 WorldCat member libraries worldwide
Heteroclinic cycles and modulated travelling waves in systems with 0(2) symmetry by Dieter Armburster( )
2 editions published in 1987 in English and held by 3 WorldCat member libraries worldwide
Spatially complex equilibria of buckled rods by Alexander Mielke( )
2 editions published in 1987 in English and held by 3 WorldCat member libraries worldwide
Kuramoto - Swashinsky dynamics on the center - unstable manifold by Dieter Armbruster( )
2 editions published in 1987 in English and held by 3 WorldCat member libraries worldwide
Cascades of homoclinic orbits to and chaos near, a Hamiltonian saddle-center by Alexander Mielke( )
2 editions published in 1990 in English and held by 3 WorldCat member libraries worldwide
 
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Audience Level
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  Kids General Special  
Audience level: 0.72 (from 0.39 for Geometry, ... to 0.95 for Lighting t ...)
Alternative Names
Holmes, P.
Holmes, P. J. 1945-
Holmes, Phil 1945-
Holmes, Philip.
Holmes, Philip J. 1945-
Holmes, Philip John 1945-
ホームズ, P
Languages
English (183)
German (1)
Italian (1)
Covers