Neĭshtadt, A. I.
Most widely held works by A. I Neĭshtadt
Mathematical aspects of classical and celestial mechanics by V. I Arnolʹd ( )
37 editions published between 1988 and 2009 in English and German and held by 700 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 III by V. I Arnolʹd ( Book )
3 editions published in 1988 in English and held by 15 WorldCat member libraries worldwide
This work describes the fundamental principles, problems, and methods of classical mechanics. The authors have endeavored to give an exposition stressing the working apparatus of classical mechanics, rather than its physical foundations or applications. Chapter 1 is devoted to the fundamental mathematical models which are usually employed to describe the motion of real mechanical systems. Chapter 2 presents the n-body problem as a generalization of the 2-body problem. Chapter 3 is concerned with the symmetry groups of mechanical systems and the corresponding conservation laws. Chapter 4 contains a brief survey of various approaches to the problem of the integrability of the equations of motion. Chapter 5 is devoted to one of the most fruitful branches of mechanics - perturbation theory. Chapter 6 is related to chapters 4 and 5, and studies the theoretical possibility of integrating the equations of motion. Elements of the theory of oscillations are given in chapter 7. 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 "Encyclopaedia of Mathematical Sciences" addresses all mathematicians, physicists and enigneers
Dynamical systems by V. I Arnolʹd ( Book )
2 editions published in 2006 in English and held by 8 WorldCat member libraries worldwide
Dinamičeskij chaos i diffuzionnaja neustojčivostʹ naklonenij dlinnoperiodičeskich komet by George M Zaslavsky ( Book )
1 edition published in 1993 in Russian and held by 1 WorldCat member library worldwide
Chaotic dynamics and transport in classical and quantum systems by Pierre Collet ( )
1 edition published in 2005 in English and held by 1 WorldCat member library 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 atom-optic 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 post-doctoral 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
Reactive torque influence onto rotation of comet nuclei ( Book )
1 edition published in 2002 in English and held by 1 WorldCat member library worldwide
Celestial mechanics Chaotic behavior in systems Differentiable dynamical systems Differential equations Differential equations, Partial Engineering Global analysis (Mathematics) Mathematical physics Mathematics Mechanics Mechanics, Analytic Physics Quantum theory Statistical physics Thermodynamics Transport theory
Neishtadt, A. I.
Neishtadt, Anatoly I.
Neištadt, A. I.