Dynamical Systems Iii
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Dynamical Systems Iii
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Author : Vladimir I. Arnol'd
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Dynamical Systems Iii written by Vladimir I. Arnol'd and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Science categories.
This work describes the fundamental principles, problems, and methods of elassical mechanics focussing on its mathematical aspects. The authors have striven to give an exposition stressing the working apparatus of elassical mechanics, rather than its physical foundations or applications. This appara tus is basically contained in Chapters 1, 3,4 and 5. Chapter 1 is devoted to the fundamental mathematical models which are usually employed to describe the motion of real mechanical systems. Special consideration is given to the study of motion under constraints, and also to problems concerned with the realization of constraints in dynamics. Chapter 3 is concerned with the symmetry groups of mechanical systems and the corresponding conservation laws. Also discussed are various aspects of the theory of the reduction of order for systems with symmetry, often used in applications. Chapter 4 contains abrief survey of various approaches to the problem of the integrability of the equations of motion, and discusses some of the most general and effective methods of integrating these equations. Various elassical examples of integrated problems are outlined. The material pre sen ted in this chapter is used in Chapter 5, which is devoted to one of the most fruitful branches of mechanics - perturbation theory. The main task of perturbation theory is the investigation of problems of mechanics which are" elose" to exact1y integrable problems.
Dynamical Systems Iii
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Author : Vladimir I. Arnol'd
language : en
Publisher:
Release Date : 2014-01-15
Dynamical Systems Iii written by Vladimir I. Arnol'd and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Dynamical Systems Iii
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Author :
language : en
Publisher:
Release Date : 1989
Dynamical Systems Iii written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Dyamical systems categories.
Dynamical Systems Iii
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Author : Vladimir I. Arnol'd
language : en
Publisher: Springer
Release Date : 1988
Dynamical Systems Iii written by Vladimir I. Arnol'd and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Science categories.
This work describes the fundamental principles, problems, and methods of elassical mechanics focussing on its mathematical aspects. The authors have striven to give an exposition stressing the working apparatus of elassical mechanics, rather than its physical foundations or applications. This appara tus is basically contained in Chapters 1, 3,4 and 5. Chapter 1 is devoted to the fundamental mathematical models which are usually employed to describe the motion of real mechanical systems. Special consideration is given to the study of motion under constraints, and also to problems concerned with the realization of constraints in dynamics. Chapter 3 is concerned with the symmetry groups of mechanical systems and the corresponding conservation laws. Also discussed are various aspects of the theory of the reduction of order for systems with symmetry, often used in applications. Chapter 4 contains abrief survey of various approaches to the problem of the integrability of the equations of motion, and discusses some of the most general and effective methods of integrating these equations. Various elassical examples of integrated problems are outlined. The material pre sen ted in this chapter is used in Chapter 5, which is devoted to one of the most fruitful branches of mechanics - perturbation theory. The main task of perturbation theory is the investigation of problems of mechanics which are" elose" to exact1y integrable problems.
Dynamical Systems
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Author : George David Birkhoff
language : en
Publisher:
Release Date : 1927
Dynamical Systems written by George David Birkhoff and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1927 with Dynamics categories.
Dynamical Systems Iii
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Author : Vladimir I. Arnol'd
language : en
Publisher: Springer
Release Date : 1987-12-18
Dynamical Systems Iii written by Vladimir I. Arnol'd and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-12-18 with Science categories.
This work describes the fundamental principles, problems, and methods of elassical mechanics focussing on its mathematical aspects. The authors have striven to give an exposition stressing the working apparatus of elassical mechanics, rather than its physical foundations or applications. This appara tus is basically contained in Chapters 1, 3,4 and 5. Chapter 1 is devoted to the fundamental mathematical models which are usually employed to describe the motion of real mechanical systems. Special consideration is given to the study of motion under constraints, and also to problems concerned with the realization of constraints in dynamics. Chapter 3 is concerned with the symmetry groups of mechanical systems and the corresponding conservation laws. Also discussed are various aspects of the theory of the reduction of order for systems with symmetry, often used in applications. Chapter 4 contains abrief survey of various approaches to the problem of the integrability of the equations of motion, and discusses some of the most general and effective methods of integrating these equations. Various elassical examples of integrated problems are outlined. The material pre sen ted in this chapter is used in Chapter 5, which is devoted to one of the most fruitful branches of mechanics - perturbation theory. The main task of perturbation theory is the investigation of problems of mechanics which are" elose" to exact1y integrable problems.
Dynamical Systems Ii
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Author : Ya.G. Sinai
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
Dynamical Systems Ii written by Ya.G. Sinai and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Mathematics categories.
Following the concept of the EMS series this volume sets out to familiarize the reader to the fundamental ideas and results of modern ergodic theory and to its applications to dynamical systems and statistical mechanics. The exposition starts from the basic of the subject, introducing ergodicity, mixing and entropy. Then the ergodic theory of smooth dynamical systems is presented - hyperbolic theory, billiards, one-dimensional systems and the elements of KAM theory. Numerous examples are presented carefully along with the ideas underlying the most important results. The last part of the book deals with the dynamical systems of statistical mechanics, and in particular with various kinetic equations. This book is compulsory reading for all mathematicians working in this field, or wanting to learn about it.
A Treatise On Electricity And Magnetism Pt Iii Magnetism Pt Iv Electromagnetism
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Author : James Clerk Maxwell
language : en
Publisher:
Release Date : 1881
A Treatise On Electricity And Magnetism Pt Iii Magnetism Pt Iv Electromagnetism written by James Clerk Maxwell and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1881 with Electricity categories.
Perspectives In Dynamical Systems Iii Control And Stability
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Author : Jan Awrejcewicz
language : en
Publisher: Springer Nature
Release Date : 2021-12-14
Perspectives In Dynamical Systems Iii Control And Stability written by Jan Awrejcewicz and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-14 with Mathematics categories.
This volume is part of collection of contributions devoted to analytical and experimental techniques of dynamical systems, presented at the 15th International Conference “Dynamical Systems: Theory and Applications”, held in Łódź, Poland on December 2-5, 2019. The wide selection of material has been divided into three volumes, each focusing on a different field of applications of dynamical systems. The broadly outlined focus of both the conference and these books includes bifurcations and chaos in dynamical systems, asymptotic methods in nonlinear dynamics, dynamics in life sciences and bioengineering, original numerical methods of vibration analysis, control in dynamical systems, optimization problems in applied sciences, stability of dynamical systems, experimental and industrial studies, vibrations of lumped and continuous systems, non-smooth systems, engineering systems and differential equations, mathematical approaches to dynamical systems, and mechatronics.
The Collected Mathematical Papers
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Author : Arthur Cayley
language : en
Publisher:
Release Date : 1898
The Collected Mathematical Papers written by Arthur Cayley and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1898 with categories.