Holm, Darryl D.
Overview
Works:  56 works in 197 publications in 3 languages and 2,939 library holdings 

Genres:  Conference papers and proceedings Textbooks 
Roles:  Author, Editor, Honoree, Other 
Classifications:  QA377, 531.01516 
Publication Timeline
.
Most widely held works by
Darryl D Holm
Nonlinear systems of partial differential equations in applied mathematics by Summer Seminar on Systems of Nonlinear Partial Differential Equations in Applied Mathematics(
Book
)
6 editions published in 1986 in English and Undetermined and held by 280 WorldCat member libraries worldwide
6 editions published in 1986 in English and Undetermined and held by 280 WorldCat member libraries worldwide
Crossovertime in quantum boson and spin systems by
Gennady P Berman(
Book
)
13 editions published between 1994 and 2013 in English and held by 256 WorldCat member libraries worldwide
The authors compare classical and quantum dynamics in the quasiclassical region of parameters and under the condition of unstable (chaotic) classical behavior. They estimate the characteristic timescale at which classical and quantum solutions start to differ significantly. The method is based on exact equations for timedependent expectation values in boson and spin coherent states, and applies to rather general Hamiltonians with many degrees of freedom. The authors develop a consistent dynamical theory for quantum nonintegrable Hamiltonians and provide explicit examples of classicalquantum "crossovertime", a very common and fundamental phenomenon in quantum nonintegrable systems. This book can be recommended to graduate students and to specialists
13 editions published between 1994 and 2013 in English and held by 256 WorldCat member libraries worldwide
The authors compare classical and quantum dynamics in the quasiclassical region of parameters and under the condition of unstable (chaotic) classical behavior. They estimate the characteristic timescale at which classical and quantum solutions start to differ significantly. The method is based on exact equations for timedependent expectation values in boson and spin coherent states, and applies to rather general Hamiltonians with many degrees of freedom. The authors develop a consistent dynamical theory for quantum nonintegrable Hamiltonians and provide explicit examples of classicalquantum "crossovertime", a very common and fundamental phenomenon in quantum nonintegrable systems. This book can be recommended to graduate students and to specialists
Geometric mechanics and symmetry : from finite to infinite dimensions by
Darryl D Holm(
Book
)
19 editions published in 2009 in English and held by 193 WorldCat member libraries worldwide
After a summary of the necessary elements of calculus on smooth manifolds and basic Lie group threory, the main body of the text considers how symmetry reduction of Hamilton's principle allows one to derive and analyse the EulerPoincaré equations
19 editions published in 2009 in English and held by 193 WorldCat member libraries worldwide
After a summary of the necessary elements of calculus on smooth manifolds and basic Lie group threory, the main body of the text considers how symmetry reduction of Hamilton's principle allows one to derive and analyse the EulerPoincaré equations
Geometric mechanics by
Darryl D Holm(
Book
)
10 editions published in 2008 in English and held by 163 WorldCat member libraries worldwide
Advanced undergraduate and graduate students in mathematics, physics and engineering
10 editions published in 2008 in English and held by 163 WorldCat member libraries worldwide
Advanced undergraduate and graduate students in mathematics, physics and engineering
Hamiltonian structure and Lyapunov stability for ideal continuum dynamics by
Darryl D Holm(
Book
)
12 editions published in 1986 in English and held by 160 WorldCat member libraries worldwide
12 editions published in 1986 in English and held by 160 WorldCat member libraries worldwide
Geometric mechanics by
Darryl D Holm(
Book
)
5 editions published in 2011 in English and held by 84 WorldCat member libraries worldwide
Advanced undergraduate and graduate students in mathematics, physics and engineering
5 editions published in 2011 in English and held by 84 WorldCat member libraries worldwide
Advanced undergraduate and graduate students in mathematics, physics and engineering
Nonlinear evolution equations and dynamical systems : proceedings of the 6th international workshop, 1626 July 1990, Dubna,
USSR by
V. G Makhanʹkov(
Book
)
1 edition published in 1995 in English and held by 47 WorldCat member libraries worldwide
Nonlinear Evolution Equations and Dynamical Systems (NEEDS) provides a presentation of the state of the art. But for some exceptions, the contributions are intentionally brief to give only the gist of the methods, proofs, etc. including references to the relevant literature. This gives a handy overview of current research activities. Hence, the book should be equally useful to the senior researcher as well as the colleague just entering the field. Topics treated: One and multidimensional (integrable) models, geometric and algebraic methods, quantum field theory, applications to nonlinear optics, condensed matter physics, oceanography, and many others. Further keywords: Hirota bilinearity, Hamiltonians, Toda lattice, multidimensional inverse scattering, bifurcations, dromions, polynomial solutions, Ermakov systems, computer algebra, symplectic operators, (quantum) superalgebras, groups, Ising model
1 edition published in 1995 in English and held by 47 WorldCat member libraries worldwide
Nonlinear Evolution Equations and Dynamical Systems (NEEDS) provides a presentation of the state of the art. But for some exceptions, the contributions are intentionally brief to give only the gist of the methods, proofs, etc. including references to the relevant literature. This gives a handy overview of current research activities. Hence, the book should be equally useful to the senior researcher as well as the colleague just entering the field. Topics treated: One and multidimensional (integrable) models, geometric and algebraic methods, quantum field theory, applications to nonlinear optics, condensed matter physics, oceanography, and many others. Further keywords: Hirota bilinearity, Hamiltonians, Toda lattice, multidimensional inverse scattering, bifurcations, dromions, polynomial solutions, Ermakov systems, computer algebra, symplectic operators, (quantum) superalgebras, groups, Ising model
Geometric mechanics by
Darryl D Holm(
Book
)
16 editions published between 2008 and 2011 in English and German and held by 41 WorldCat member libraries worldwide
The authors treat the dynamics of ray optics, resonant oscillators and the elastic spherical pendulum from a unified geometric viewpoint, by formulating their solutions using reduction by Liegroup symmetries. The book includes an appendix, containing both introductory examples and enhanced coursework problems
16 editions published between 2008 and 2011 in English and German and held by 41 WorldCat member libraries worldwide
The authors treat the dynamics of ray optics, resonant oscillators and the elastic spherical pendulum from a unified geometric viewpoint, by formulating their solutions using reduction by Liegroup symmetries. The book includes an appendix, containing both introductory examples and enhanced coursework problems
Geometric mechanics by
Darryl D Holm(
Book
)
10 editions published between 2008 and 2011 in 3 languages and held by 30 WorldCat member libraries worldwide
This textbook introduces the tools and language of modern geometric mechanics to advanced undergraduate and beginning graduate students in mathematics, physics, and engineering. It treats the dynamics of rotating, spinning and rolling rigid bodies from a geometric viewpoint, by formulating their solutions as coadjoint motions generated by Lie groups. The only prerequisites are linear algebra, multivariable calculus and some familiarity with EulerLagrange variational principles and canonical Poisson brackets in classical mechanics at the beginning undergraduate level. Variational calculus on tangent spaces of Lie groups is explained in the context of familiar concrete examples. Through these examples, the student develops skills in performing computational manipulations, starting from vectors and matrices, working through the theory of quaternions to understand rotations, and then transferring these skills to the computation of more abstract adjoint and coadjoint motions, LiePoisson Hamiltonian formulations, momentum maps and finally dynamics with nonholonomic constraints. The 120 Exercises and 55 Worked Answers help the student to grasp the essential aspects of the subject, and to develop proficiency in using the powerful methods of geometric mechanics. In addition, all theorems are stated and proved explicitly. The book's many examples and worked exercises make it ideal for both classroom use and selfstudy
10 editions published between 2008 and 2011 in 3 languages and held by 30 WorldCat member libraries worldwide
This textbook introduces the tools and language of modern geometric mechanics to advanced undergraduate and beginning graduate students in mathematics, physics, and engineering. It treats the dynamics of rotating, spinning and rolling rigid bodies from a geometric viewpoint, by formulating their solutions as coadjoint motions generated by Lie groups. The only prerequisites are linear algebra, multivariable calculus and some familiarity with EulerLagrange variational principles and canonical Poisson brackets in classical mechanics at the beginning undergraduate level. Variational calculus on tangent spaces of Lie groups is explained in the context of familiar concrete examples. Through these examples, the student develops skills in performing computational manipulations, starting from vectors and matrices, working through the theory of quaternions to understand rotations, and then transferring these skills to the computation of more abstract adjoint and coadjoint motions, LiePoisson Hamiltonian formulations, momentum maps and finally dynamics with nonholonomic constraints. The 120 Exercises and 55 Worked Answers help the student to grasp the essential aspects of the subject, and to develop proficiency in using the powerful methods of geometric mechanics. In addition, all theorems are stated and proved explicitly. The book's many examples and worked exercises make it ideal for both classroom use and selfstudy
Geometric mechanics by
Darryl D Holm(
Book
)
10 editions published between 2008 and 2011 in English and held by 29 WorldCat member libraries worldwide
The authors treat the dynamics of ray optics, resonant oscillators and the elastic spherical pendulum from a unified geometric viewpoint, by formulating their solutions using reduction by Liegroup symmetries. The book includes an appendix, containing both introductory examples and enhanced coursework problems
10 editions published between 2008 and 2011 in English and held by 29 WorldCat member libraries worldwide
The authors treat the dynamics of ray optics, resonant oscillators and the elastic spherical pendulum from a unified geometric viewpoint, by formulating their solutions using reduction by Liegroup symmetries. The book includes an appendix, containing both introductory examples and enhanced coursework problems
Geometry, mechanics, and dynamics : the legacy of Jerry Marsden by
Dong Eui Chang(
Book
)
8 editions published in 2015 in English and held by 23 WorldCat member libraries worldwide
This book illustrates the broad range of Jerry Marsden's mathematical legacy in areas of geometry, mechanics, and dynamics, from very pure mathematics to very applied, but always with a geometric perspective. Each contribution develops its material from the viewpoint of geometric mechanics beginning at the very foundations, introducing readers to modern issues via illustrations in a wide range of topics. The twenty refereed papers contained in this volume are based on lectures and research performed during the month of July 2012 at the Fields Institute for Research in Mathematical Sciences, i
8 editions published in 2015 in English and held by 23 WorldCat member libraries worldwide
This book illustrates the broad range of Jerry Marsden's mathematical legacy in areas of geometry, mechanics, and dynamics, from very pure mathematics to very applied, but always with a geometric perspective. Each contribution develops its material from the viewpoint of geometric mechanics beginning at the very foundations, introducing readers to modern issues via illustrations in a wide range of topics. The twenty refereed papers contained in this volume are based on lectures and research performed during the month of July 2012 at the Fields Institute for Research in Mathematical Sciences, i
Nonlinear phenomena in ocean dynamics : special issue originating from the 15th Annual International Conference of the Center
for Nonlinear Studies, Los Alamos, NM, USA, 1519 May 1995 by
Center for Nonlinear Studies (Los Alamos National Laboratory)(
Book
)
10 editions published in 1996 in English and Undetermined and held by 23 WorldCat member libraries worldwide
10 editions published in 1996 in English and Undetermined and held by 23 WorldCat member libraries worldwide
Geometric mechanics by
Darryl D Holm(
Book
)
6 editions published between 2008 and 2011 in English and German and held by 17 WorldCat member libraries worldwide
6 editions published between 2008 and 2011 in English and German and held by 17 WorldCat member libraries worldwide
Dynamics and symmetry by
Darryl D Holm(
Book
)
3 editions published between 2008 and 2011 in English and held by 17 WorldCat member libraries worldwide
3 editions published between 2008 and 2011 in English and held by 17 WorldCat member libraries worldwide
Nonlinear systems of partial differential equations in applied mathematics by SIAMAMS Summer Seminar on Systems of Nonlinear Partial Differential Equations in Applied Mathematics(
Book
)
3 editions published in 1986 in English and held by 12 WorldCat member libraries worldwide
3 editions published in 1986 in English and held by 12 WorldCat member libraries worldwide
Hamiltonian chaos in nonlinear optical polarization dynamics by
D David(
Book
)
5 editions published between 1988 and 1990 in English and Undetermined and held by 10 WorldCat member libraries worldwide
5 editions published between 1988 and 1990 in English and Undetermined and held by 10 WorldCat member libraries worldwide
Nonlinear systems of partial differential equations in applied mathematics by SIAMAMS Summer Seminar on Systems of Nonlinear Partial Differential Equations in Applied Mathematics(
Book
)
2 editions published in 1986 in Undetermined and English and held by 8 WorldCat member libraries worldwide
2 editions published in 1986 in Undetermined and English and held by 8 WorldCat member libraries worldwide
Nonlinear stability of fluid and plasma equilibria by
Darryl D Holm(
Book
)
3 editions published in 1985 in English and held by 7 WorldCat member libraries worldwide
3 editions published in 1985 in English and held by 7 WorldCat member libraries worldwide
Nonlinear systems of partial differential equations in applied mathematics by SIAMAMS Summer Seminar on Systems of Nonlinear Partial Differential Equations in Applied Mathematics(
Book
)
3 editions published between 1985 and 1986 in English and Undetermined and held by 6 WorldCat member libraries worldwide
3 editions published between 1985 and 1986 in English and Undetermined and held by 6 WorldCat member libraries worldwide
Geometric mechanics : pt. i by
Darryl D Holm(
Book
)
4 editions published between 2008 and 2011 in English and held by 6 WorldCat member libraries worldwide
4 editions published between 2008 and 2011 in English and held by 6 WorldCat member libraries worldwide
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Associated Subjects
Bosons Chaotic behavior in systems Computer science Computer scienceMathematics Continuum mechanics Differentiable dynamical systems Differential equations Differential equations, Partial Dynamics Engineering mathematics Ergodic theory Evolution equations, Nonlinear Fluid dynamics Geometry Geometry, Differential Global differential geometry Hamiltonian systems Lyapunov functions Lyapunov stability Mathematical physics Mathematics Mechanics Mechanics, Analytic Nonlinear theories Nuclear spin Physics Quantum computing Quantum field theory Quantum optics Quantum theory Statistical physics Symmetry Symmetry (Mathematics) Thermodynamics Topological dynamics