MARC details
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04493nam a2200337 a 4500 |
| 001 - CONTROL NUMBER |
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00006341 |
| 003 - CONTROL NUMBER IDENTIFIER |
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WSP |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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20230529181355.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS |
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| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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091123s2015 si a sb 001 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9789814630757 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
WSPC |
| Language of cataloging |
eng |
| Transcribing agency |
WSPC |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
530.13 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Gitterman, Moshe |
| 245 10 - TITLE STATEMENT |
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| Title |
Oscillator and Pendulum with a Random Mass |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc. |
Singapore ; |
| Name of publisher, distributor, etc. |
World Scientific Pub. Co., |
| Date of publication, distribution, etc. |
©2015. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
160 p. : |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references (p. 139-143) and index. |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
1. Introduction. 1.1. 1.1 Harmonic oscillator with external noise. 1.2. Ito-Stratonovich dilemma. 1.3. Harmonic oscillator with random frequency. 1.4. Harmonic oscillator with random damping. 1.5. Harmonic oscillator with multiplicative and additive noise. 1.6. Harmonic oscillator with a random mass. 1.7. Pendulum. 1.8. Pendulum with additive noise. 1.9. Pendulum with multiplicative noise. 1.10. Pendulum with multiplicative and additive -- 2. Oscillator with a random mass. 2.1. White and colored noise. 2.2. Birth-death process. 2.3. Piece-wise potential. 2.4. Simple treatment of correlated multiplicative and additive sources of noise. 2.5. Mass dependence instability of an oscillator with multiplicative noise. 2.6. Dichotomous randommass. 2.7. Stability of an oscillator with random mass. 2.8. Stability conditions. 2.9 Basic equations. 2.10. First moment. 2.11. White noise. 2.12. Symmetric dichotomous noise. 2.13. Asymmetric dichotomous noise. 2.14. Second moment. 2.15. Instability of the second moment. 2.16. Different stochastic models. 2.17. Probability analysis. 2.18. Diffusion of clusters with random mass. 2.19. Force-free oscillator. 2.20. Stochastic resonance in the oscillator with a randommass. 2.21. Stability conditions for a linear oscillator with a randommass. 2.22. White noise. 2.23. Dichotomous noise. 2.24. Stability conditions for a nonlinear oscillator with random damping. 2.25. Resonance phenomena. 2.26. Vibrational resonance. 2.27. Deterministic chaos -- 3. Pendulum with a random mass. 3.1. Pendulum with a random angle. 3.2. Stationary states of a pendulum. 3.3. Probabilistic approach to a deterministic pendulum. 3.4. Pendulum with random angle and random momentum. 3.5. Josephson junction with multiplicative noise. 3.6. Order and chaos: are they contradictory or complimentary? 3.7. Spring pendulum. 3.8. Analysis of nonlinear equations. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc. |
Stochastic descriptions of a harmonic oscillator can be obtained by adding additive noise, or/and three types of multiplicative noise: random frequency, random damping and random mass. The first three types of noise were intensively studied in many published articles. In this book the fourth case, that of random mass, is considered in the context of the harmonic oscillator and its immediate nonlinear generalization - the pendulum. To our knowledge it is the first book fully dedicated to this problem. Two interrelated methods, the Langevin equation and the Fokker–Planck equations, as well as the Lyapunov stability method are used for the mathematical analysis. After a short introduction, the two main parts of the book describe the different properties of the random harmonic oscillator and the random pendulum with random masses. As an example, the stochastic resonance is studied, where the noise plays an unusual role, increasing the applied weak periodic signal, and also the vibration resonance in dynamic systems, where the role of noise is played by the second high-frequency periodic signal. First and second averaged moments have been calculated for a system with different types of additive and multiplicative noises, which define the stability of a system. The calculations have been extended to two multiplicative noises and to quadratic noise. This book is useful for students and scientists working in different fields of statistical physics. |
| 533 ## - REPRODUCTION NOTE |
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| Type of reproduction |
Electronic reproduction. |
| Place of reproduction |
Singapore : |
| Agency responsible for reproduction |
World Scientific Publishing Co., |
| Date of reproduction |
2015. |
| Note about reproduction |
System requirements: Adobe Acrobat Reader. |
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Mode of access: World Wide Web. |
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Available to subscribing institutions. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Statistical mechanics. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Harmonic oscillators. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Random noise theory. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Pendulum. |
| 655 #0 - INDEX TERM--GENRE/FORM |
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| Genre/form data or focus term |
Electronic books. |
| 776 1# - ADDITIONAL PHYSICAL FORM ENTRY |
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| International Standard Book Number |
9789814630740 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
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| Uniform Resource Identifier |
<a href="http://www.worldscientific.com/worldscibooks/10.1142/9352#t=toc">http://www.worldscientific.com/worldscibooks/10.1142/9352#t=toc</a> |
| Link text |
ebook |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
E-Books |
