Nonlinear oscillations in physical systems:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton, N.J.
Princeton University Press
1985
|
| Ausgabe: | [Revised and enlarged edition] |
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | Originally published in 1953 under title: Forced oscillations in non-linear systems. - Reprint. Originally published: New York : McGraw-Hill, ©1964 Print version record |
| Beschreibung: | 1 online resource (xii, 392 pages) illustrations |
| ISBN: | 0691083835 1400852870 9780691083834 9781400852871 |
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| 100 | 1 | |a Hayashi, Chūshirō |d 1920-2010 |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Nonlinear oscillations in physical systems |c Chihiro Hayashi |
| 250 | |a [Revised and enlarged edition] | ||
| 264 | 1 | |a Princeton, N.J. |b Princeton University Press |c 1985 | |
| 300 | |a 1 online resource (xii, 392 pages) |b illustrations | ||
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| 500 | |a Originally published in 1953 under title: Forced oscillations in non-linear systems. - Reprint. Originally published: New York : McGraw-Hill, ©1964 | ||
| 500 | |a Print version record | ||
| 505 | 8 | |a Many of today's most exciting questions in the physical and life sciences concern the behavior of nonlinear systems, especially the onset of chaotic behavior under deterministic conditions. Available for the first time in paperback, this book offers a fundamental explanation of nonlinear oscillations in physical systems. Originally intended for electrical engineers, this book remains an important reference for the increasing numbers of researchers studying nonlinear phenomena in physics, chemical engineering, biology, medicine, and other fields. All problems in mechanics are basically nonlinear from the outset, and the linearizations commonly practiced are approximating devices. Focusing attention on those features of problems where nonlinearity results in distinctive new phenomena, the author stresses the relationship between analysis and experiment | |
| 505 | 8 | |a pt. I. Principal methods of nonlinear analysis. Analytical methods -- Topological methods and graphical solutions -- Stability of nonlinear systems -- pt. II. Forced oscillations in steady states. Stability of periodic oscillations in second-order systems -- Harmonic oscillations -- Higher-harmonic oscillations -- Subharmonic oscillations -- pt. III. Forced oscillations in transient states. Harmonic oscillations -- Subharmonic oscillations -- Initial conditions leading to different types of periodic oscillations -- Almost periodic oscillations -- pt. IV. Self-oscillatory systems with external force. Entrainment of frequency -- Almost periodic oscillations -- Appendix I. Expansions of the Mathieu functions -- Appendix II. Unstable solutions of Hill's equation -- Appendix III. Unstable solutions for the extended form of Hill's equation -- Appendix IV. Stability criterion obtained by using the perturbation method -- Appendix V. Remarks concerning integral curves and singular points -- Appendix VI. Electronic synchronous switch | |
| 650 | 4 | |a Oscillation non linéaire | |
| 650 | 4 | |a Equation Liénard | |
| 650 | 4 | |a Théorème Ljapunov | |
| 650 | 4 | |a Equation Hill | |
| 650 | 4 | |a Equation Mathieu | |
| 650 | 4 | |a Equation Van der Pol | |
| 650 | 4 | |a Circuit électrique | |
| 650 | 4 | |a Table oscillation | |
| 650 | 4 | |a Oscillation forcée | |
| 650 | 4 | |a Oscillations non linéaires | |
| 650 | 7 | |a Sistemas Dinamicos |2 larpcal | |
| 650 | 7 | |a Oscillations non linéaires |2 ram | |
| 650 | 7 | |a Théories non-linéaires |2 ram | |
| 650 | 7 | |a SCIENCE / Mechanics / General |2 bisacsh | |
| 650 | 7 | |a SCIENCE / Mechanics / Solids |2 bisacsh | |
| 650 | 4 | |a Nonlinear oscillations | |
| 650 | 4 | |a Nonlinear oscillations |x Electromechanical analogies | |
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| 700 | 1 | |a Hayashi, Chūshirō |d 1920-2010 |e Sonstige |4 oth | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |a Hayashi, Chūshirō, 1920-2010 |t Nonlinear oscillations in physical systems |
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Datensatz im Suchindex
| _version_ | 1804175397118541824 |
|---|---|
| any_adam_object | |
| author | Hayashi, Chūshirō 1920-2010 |
| author_facet | Hayashi, Chūshirō 1920-2010 |
| author_role | aut |
| author_sort | Hayashi, Chūshirō 1920-2010 |
| author_variant | c h ch |
| building | Verbundindex |
| bvnumber | BV043036501 |
| collection | ZDB-4-EBA |
| contents | Many of today's most exciting questions in the physical and life sciences concern the behavior of nonlinear systems, especially the onset of chaotic behavior under deterministic conditions. Available for the first time in paperback, this book offers a fundamental explanation of nonlinear oscillations in physical systems. Originally intended for electrical engineers, this book remains an important reference for the increasing numbers of researchers studying nonlinear phenomena in physics, chemical engineering, biology, medicine, and other fields. All problems in mechanics are basically nonlinear from the outset, and the linearizations commonly practiced are approximating devices. Focusing attention on those features of problems where nonlinearity results in distinctive new phenomena, the author stresses the relationship between analysis and experiment pt. I. Principal methods of nonlinear analysis. Analytical methods -- Topological methods and graphical solutions -- Stability of nonlinear systems -- pt. II. Forced oscillations in steady states. Stability of periodic oscillations in second-order systems -- Harmonic oscillations -- Higher-harmonic oscillations -- Subharmonic oscillations -- pt. III. Forced oscillations in transient states. Harmonic oscillations -- Subharmonic oscillations -- Initial conditions leading to different types of periodic oscillations -- Almost periodic oscillations -- pt. IV. Self-oscillatory systems with external force. Entrainment of frequency -- Almost periodic oscillations -- Appendix I. Expansions of the Mathieu functions -- Appendix II. Unstable solutions of Hill's equation -- Appendix III. Unstable solutions for the extended form of Hill's equation -- Appendix IV. Stability criterion obtained by using the perturbation method -- Appendix V. Remarks concerning integral curves and singular points -- Appendix VI. Electronic synchronous switch |
| ctrlnum | (OCoLC)893572008 (DE-599)BVBBV043036501 |
| dewey-full | 531.322 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 531 - Classical mechanics |
| dewey-raw | 531.322 |
| dewey-search | 531.322 |
| dewey-sort | 3531.322 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| edition | [Revised and enlarged edition] |
| format | Electronic eBook |
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| id | DE-604.BV043036501 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T07:15:38Z |
| institution | BVB |
| isbn | 0691083835 1400852870 9780691083834 9781400852871 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028461149 |
| oclc_num | 893572008 |
| open_access_boolean | |
| owner | DE-1046 DE-1047 |
| owner_facet | DE-1046 DE-1047 |
| physical | 1 online resource (xii, 392 pages) illustrations |
| psigel | ZDB-4-EBA ZDB-4-EBA FAW_PDA_EBA |
| publishDate | 1985 |
| publishDateSearch | 1985 |
| publishDateSort | 1985 |
| publisher | Princeton University Press |
| record_format | marc |
| spelling | Hayashi, Chūshirō 1920-2010 Verfasser aut Nonlinear oscillations in physical systems Chihiro Hayashi [Revised and enlarged edition] Princeton, N.J. Princeton University Press 1985 1 online resource (xii, 392 pages) illustrations txt rdacontent c rdamedia cr rdacarrier Originally published in 1953 under title: Forced oscillations in non-linear systems. - Reprint. Originally published: New York : McGraw-Hill, ©1964 Print version record Many of today's most exciting questions in the physical and life sciences concern the behavior of nonlinear systems, especially the onset of chaotic behavior under deterministic conditions. Available for the first time in paperback, this book offers a fundamental explanation of nonlinear oscillations in physical systems. Originally intended for electrical engineers, this book remains an important reference for the increasing numbers of researchers studying nonlinear phenomena in physics, chemical engineering, biology, medicine, and other fields. All problems in mechanics are basically nonlinear from the outset, and the linearizations commonly practiced are approximating devices. Focusing attention on those features of problems where nonlinearity results in distinctive new phenomena, the author stresses the relationship between analysis and experiment pt. I. Principal methods of nonlinear analysis. Analytical methods -- Topological methods and graphical solutions -- Stability of nonlinear systems -- pt. II. Forced oscillations in steady states. Stability of periodic oscillations in second-order systems -- Harmonic oscillations -- Higher-harmonic oscillations -- Subharmonic oscillations -- pt. III. Forced oscillations in transient states. Harmonic oscillations -- Subharmonic oscillations -- Initial conditions leading to different types of periodic oscillations -- Almost periodic oscillations -- pt. IV. Self-oscillatory systems with external force. Entrainment of frequency -- Almost periodic oscillations -- Appendix I. Expansions of the Mathieu functions -- Appendix II. Unstable solutions of Hill's equation -- Appendix III. Unstable solutions for the extended form of Hill's equation -- Appendix IV. Stability criterion obtained by using the perturbation method -- Appendix V. Remarks concerning integral curves and singular points -- Appendix VI. Electronic synchronous switch Oscillation non linéaire Equation Liénard Théorème Ljapunov Equation Hill Equation Mathieu Equation Van der Pol Circuit électrique Table oscillation Oscillation forcée Oscillations non linéaires Sistemas Dinamicos larpcal Oscillations non linéaires ram Théories non-linéaires ram SCIENCE / Mechanics / General bisacsh SCIENCE / Mechanics / Solids bisacsh Nonlinear oscillations Nonlinear oscillations Electromechanical analogies Nichtlineare Schwingung (DE-588)4042100-4 gnd rswk-swf Nichtlineare Schwingung (DE-588)4042100-4 s 1\p DE-604 Hayashi, Chūshirō 1920-2010 Sonstige oth Erscheint auch als Druck-Ausgabe Hayashi, Chūshirō, 1920-2010 Nonlinear oscillations in physical systems http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=772813 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Hayashi, Chūshirō 1920-2010 Nonlinear oscillations in physical systems Many of today's most exciting questions in the physical and life sciences concern the behavior of nonlinear systems, especially the onset of chaotic behavior under deterministic conditions. Available for the first time in paperback, this book offers a fundamental explanation of nonlinear oscillations in physical systems. Originally intended for electrical engineers, this book remains an important reference for the increasing numbers of researchers studying nonlinear phenomena in physics, chemical engineering, biology, medicine, and other fields. All problems in mechanics are basically nonlinear from the outset, and the linearizations commonly practiced are approximating devices. Focusing attention on those features of problems where nonlinearity results in distinctive new phenomena, the author stresses the relationship between analysis and experiment pt. I. Principal methods of nonlinear analysis. Analytical methods -- Topological methods and graphical solutions -- Stability of nonlinear systems -- pt. II. Forced oscillations in steady states. Stability of periodic oscillations in second-order systems -- Harmonic oscillations -- Higher-harmonic oscillations -- Subharmonic oscillations -- pt. III. Forced oscillations in transient states. Harmonic oscillations -- Subharmonic oscillations -- Initial conditions leading to different types of periodic oscillations -- Almost periodic oscillations -- pt. IV. Self-oscillatory systems with external force. Entrainment of frequency -- Almost periodic oscillations -- Appendix I. Expansions of the Mathieu functions -- Appendix II. Unstable solutions of Hill's equation -- Appendix III. Unstable solutions for the extended form of Hill's equation -- Appendix IV. Stability criterion obtained by using the perturbation method -- Appendix V. Remarks concerning integral curves and singular points -- Appendix VI. Electronic synchronous switch Oscillation non linéaire Equation Liénard Théorème Ljapunov Equation Hill Equation Mathieu Equation Van der Pol Circuit électrique Table oscillation Oscillation forcée Oscillations non linéaires Sistemas Dinamicos larpcal Oscillations non linéaires ram Théories non-linéaires ram SCIENCE / Mechanics / General bisacsh SCIENCE / Mechanics / Solids bisacsh Nonlinear oscillations Nonlinear oscillations Electromechanical analogies Nichtlineare Schwingung (DE-588)4042100-4 gnd |
| subject_GND | (DE-588)4042100-4 |
| title | Nonlinear oscillations in physical systems |
| title_auth | Nonlinear oscillations in physical systems |
| title_exact_search | Nonlinear oscillations in physical systems |
| title_full | Nonlinear oscillations in physical systems Chihiro Hayashi |
| title_fullStr | Nonlinear oscillations in physical systems Chihiro Hayashi |
| title_full_unstemmed | Nonlinear oscillations in physical systems Chihiro Hayashi |
| title_short | Nonlinear oscillations in physical systems |
| title_sort | nonlinear oscillations in physical systems |
| topic | Oscillation non linéaire Equation Liénard Théorème Ljapunov Equation Hill Equation Mathieu Equation Van der Pol Circuit électrique Table oscillation Oscillation forcée Oscillations non linéaires Sistemas Dinamicos larpcal Oscillations non linéaires ram Théories non-linéaires ram SCIENCE / Mechanics / General bisacsh SCIENCE / Mechanics / Solids bisacsh Nonlinear oscillations Nonlinear oscillations Electromechanical analogies Nichtlineare Schwingung (DE-588)4042100-4 gnd |
| topic_facet | Oscillation non linéaire Equation Liénard Théorème Ljapunov Equation Hill Equation Mathieu Equation Van der Pol Circuit électrique Table oscillation Oscillation forcée Oscillations non linéaires Sistemas Dinamicos Théories non-linéaires SCIENCE / Mechanics / General SCIENCE / Mechanics / Solids Nonlinear oscillations Nonlinear oscillations Electromechanical analogies Nichtlineare Schwingung |
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| work_keys_str_mv | AT hayashichushiro nonlinearoscillationsinphysicalsystems |