Neĭshtadt, A. I.
Overview
Works:  8 works in 52 publications in 3 languages and 802 library holdings 

Genres:  Conference proceedings 
Roles:  Editor, Author 
Classifications:  QA805, 531 
Publication Timeline
.
Most widely held works by
A. I Neĭshtadt
Mathematical aspects of classical and celestial mechanics by
V. I Arnolʹd(
Book
)
42 editions published between 1988 and 2009 in English and German and held by 373 WorldCat member libraries worldwide
Describes the fundamental principles, problems, and methods of classical mechanics. This book devotes its attention to the mathematical side of the subject. It aims to acquaint the reader with classical mechanics as a whole, in both its classical and its contemporary aspects
42 editions published between 1988 and 2009 in English and German and held by 373 WorldCat member libraries worldwide
Describes the fundamental principles, problems, and methods of classical mechanics. This book devotes its attention to the mathematical side of the subject. It aims to acquaint the reader with classical mechanics as a whole, in both its classical and its contemporary aspects
Dynamical systems(
Book
)
1 edition published in 1988 in English and held by 13 WorldCat member libraries worldwide
1 edition published in 1988 in English and held by 13 WorldCat member libraries worldwide
Dynamical systems by
V. I Arnolʹd(
Book
)
4 editions published between 1988 and 2006 in English and held by 8 WorldCat member libraries worldwide
Bifurcation theory and catastrophe theory are two of the best known areas within the field of dynamical systems. Both are studies of smooth systems, focusing on properties that seem to be manifestly nonsmooth. Bifurcation theory is concerned with the sudden changes that occur in a system when one or more parameters are varied. Examples of such are familiar to students of differential equations, from phase portraits. Moreover, understanding the bifurcations of the differential equations that describe real physical systems provides important information about the behavior of the systems. Catastrophe theory became quite famous during the 1970's, mostly because of the sensation caused by the usually less than rigorous applications of its principal ideas to "hot topics", such as the characterization of personalities and the difference between a "genius" and a "maniac". Catastrophe theory is accurately described as singularity theory and its (genuine) applications. The authors of this book, the first printing of which was published as Volume 5 of the Encyclopaedia of Mathematical Sciences, have given a masterly exposition of these two theories, with penetrating insight
4 editions published between 1988 and 2006 in English and held by 8 WorldCat member libraries worldwide
Bifurcation theory and catastrophe theory are two of the best known areas within the field of dynamical systems. Both are studies of smooth systems, focusing on properties that seem to be manifestly nonsmooth. Bifurcation theory is concerned with the sudden changes that occur in a system when one or more parameters are varied. Examples of such are familiar to students of differential equations, from phase portraits. Moreover, understanding the bifurcations of the differential equations that describe real physical systems provides important information about the behavior of the systems. Catastrophe theory became quite famous during the 1970's, mostly because of the sensation caused by the usually less than rigorous applications of its principal ideas to "hot topics", such as the characterization of personalities and the difference between a "genius" and a "maniac". Catastrophe theory is accurately described as singularity theory and its (genuine) applications. The authors of this book, the first printing of which was published as Volume 5 of the Encyclopaedia of Mathematical Sciences, have given a masterly exposition of these two theories, with penetrating insight
Dynamical systems by
V. I Arnolʹd(
Book
)
1 edition published in 2006 in English and held by 4 WorldCat member libraries worldwide
1 edition published in 2006 in English and held by 4 WorldCat member libraries worldwide
Dynamical systems by
V. I Arnolʹd(
Book
)
1 edition published in 2006 in English and held by 4 WorldCat member libraries worldwide
1 edition published in 2006 in English and held by 4 WorldCat member libraries worldwide
Catástrofes en la apertura conocerlas, evitarlas : la teoría de aperturas llevada a la práctica by
I︠A︡. I Neĭshtadt(
Book
)
1 edition published in 2008 in Spanish and held by 1 WorldCat member library worldwide
1 edition published in 2008 in Spanish and held by 1 WorldCat member library worldwide
Mathematical Aspects of Classical and Celestial Mechanics. Encyclopaedia of Mathematical Sciences, Volume 3: Dynamical Systems(
)
1 edition published in 2006 in English and held by 0 WorldCat member libraries worldwide
This work describes the fundamental principles, problems, and methods of classical mechanics. The main attention is devoted to the mathematical side of the subject. The authors have endeavored to give an exposition stressing the working apparatus of classical mechanics. The book is significantly expanded compared to the previous edition. The authors have added two chapters on the variational principles and methods of classical mechanics as well as on tensor invariants of equations of dynamics. Moreover, various other sections have been revised, added or expanded. The main purpose of the book is to acquaint the reader with classical mechanics as a whole, in both its classical and its contemporary aspects. The book addresses all mathematicians, physicists and engineers. From the reviews of the previous editions: "...The book accomplishes the goals it has set for itself. While it is not an introduction to the field, it is an excellent overview..." "American Mathematical Monthly", November 1989
1 edition published in 2006 in English and held by 0 WorldCat member libraries worldwide
This work describes the fundamental principles, problems, and methods of classical mechanics. The main attention is devoted to the mathematical side of the subject. The authors have endeavored to give an exposition stressing the working apparatus of classical mechanics. The book is significantly expanded compared to the previous edition. The authors have added two chapters on the variational principles and methods of classical mechanics as well as on tensor invariants of equations of dynamics. Moreover, various other sections have been revised, added or expanded. The main purpose of the book is to acquaint the reader with classical mechanics as a whole, in both its classical and its contemporary aspects. The book addresses all mathematicians, physicists and engineers. From the reviews of the previous editions: "...The book accomplishes the goals it has set for itself. While it is not an introduction to the field, it is an excellent overview..." "American Mathematical Monthly", November 1989
Chaotic dynamics and transport in classical and quantum systems by
Pierre Collet(
)
1 edition published in 2005 in English and held by 0 WorldCat member libraries worldwide
This book offers a modern updated review on the most important activities in today dynamical systems and statistical mechanics by some of the best experts in the domain. It gives a contemporary and pedagogical view on theories of classical and quantum chaos and complexity in hamiltonian and ergodic systems and their applications to anomalous transport in fluids, plasmas, oceans and atomoptic devices and to control of chaotic transport. The book is issued from lecture notes of the International Summer School on "Chaotic Dynamics and Transport in Classical and Quantum Systems" held in Cargèse (Corsica) 18th to the 30th August 2003. It reflects the spirit of the School to provide lectures at the postdoctoral level on basic concepts and tools. The first part concerns ergodicity and mixing, complexity and entropy functions, SRB measures, fractal dimensions and bifurcations in hamiltonian systems. Then, models of dynamical evolutions of transport processes in classical and quantum systems have been largely explained. The second part concerns transport in fluids, plasmas and reacting media. On the other hand, new experiments of cold optically trapped atoms and electrodynamics cavity have been thoroughly presented. Finally, several papers bear on synchronism and control of chaos. The target audience of the proceedings are physicists, mathematicians and all scientists involved in Chaos and Dynamical Systems Theory and their fundamental applications in Physics and in the Science of Complex and Nonlinear phenomena
1 edition published in 2005 in English and held by 0 WorldCat member libraries worldwide
This book offers a modern updated review on the most important activities in today dynamical systems and statistical mechanics by some of the best experts in the domain. It gives a contemporary and pedagogical view on theories of classical and quantum chaos and complexity in hamiltonian and ergodic systems and their applications to anomalous transport in fluids, plasmas, oceans and atomoptic devices and to control of chaotic transport. The book is issued from lecture notes of the International Summer School on "Chaotic Dynamics and Transport in Classical and Quantum Systems" held in Cargèse (Corsica) 18th to the 30th August 2003. It reflects the spirit of the School to provide lectures at the postdoctoral level on basic concepts and tools. The first part concerns ergodicity and mixing, complexity and entropy functions, SRB measures, fractal dimensions and bifurcations in hamiltonian systems. Then, models of dynamical evolutions of transport processes in classical and quantum systems have been largely explained. The second part concerns transport in fluids, plasmas and reacting media. On the other hand, new experiments of cold optically trapped atoms and electrodynamics cavity have been thoroughly presented. Finally, several papers bear on synchronism and control of chaos. The target audience of the proceedings are physicists, mathematicians and all scientists involved in Chaos and Dynamical Systems Theory and their fundamental applications in Physics and in the Science of Complex and Nonlinear phenomena
Audience Level
0 

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Related Identities
 Kozlov, V. V. Editor
 Arnolʹd, V. I. (Vladimir Igorevich) 19372010 Author Editor
 Khoukhro, Evgenï I. (1956....).
 Arnol'd, Vladimir Igorevitch (19372010) Author
 Kozlov, Vladimir Viktorovič
 Zaslavsky, George M. Editor
 Collet, P. Editor
 Metens, S. Editor
 Courbage, M. Editor
 Iacob, I.
Associated Subjects
Bifurcation theory Catastrophes (Mathematics) Celestial mechanics Chaotic behavior in systems Differentiable dynamical systems Differential equations Differential equations, Partial Dynamics Engineering Ergodic theory Global analysis (Mathematics) Mathematical physics Mathematics Mechanics Mechanics, Analytic Physics Quantum theory Statistical mechanics Statistical physics Thermodynamics Transport theory