Nonlinear Oscillations in Physical Systems / / Chihiro Hayashi.
This book offers a fundamental explanation of nonlinear oscillations in physical systems. Originally intended for electrical engineers, it remains an important reference for the increasing numbers of researchers studying nonlinear phenomena in physics, chemical engineering, biology, medicine, and ot...
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Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2014] ©1986 |
Year of Publication: | 2014 |
Edition: | Course Book |
Language: | English |
Series: | Princeton Legacy Library ;
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Physical Description: | 1 online resource (406 p.) |
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Hayashi, Chihiro, author. aut http://id.loc.gov/vocabulary/relators/aut Nonlinear Oscillations in Physical Systems / Chihiro Hayashi. Course Book Princeton, NJ : Princeton University Press, [2014] ©1986 1 online resource (406 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Princeton Legacy Library ; 432 Frontmatter -- Preface -- Contents -- Introduction -- Part I. Principal Methods of Nonlinear Analysis -- Chapter 1. Analytical Methods -- Chapter 2 Topological Methods and Graphical Solutions -- Chapter 3. Stability of Nonlinear Systems -- Part II. Forced Oscillations in Steady States -- Chapter 4. Stability of Periodic Oscillations in Second-order Systems -- Chapter 5. Harmonic Oscillations -- Chapter 6. Higher-harmonic Oscillations -- Chapter 7. Subharmonic Oscillations -- Part IV. Self-oscillatory Systems with External Force -- Chapter 12. Entrainment of Frequency -- Chapter 13. Almost Periodic Oscillations -- Appendix I: Expansions of the Mathieu Functions -- Appendix II: Unstable Solutions of Kill's Equation -- Appendix III: Unstable Solutions fox* the Extended Form of Kill's Equation -- Appendix IV: Stability Criterion Obtained by Using the Perturbation Method -- Appendix V: Remarks Concerning Integral Curves and Singular Points -- Appendix VI: Electronic Switch -- Problems -- Bibliography -- Index restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star This book offers a fundamental explanation of nonlinear oscillations in physical systems. Originally intended for electrical engineers, it remains an important reference for the increasing numbers of researchers studying nonlinear phenomena in physics, chemical engineering, biology, medicine, and other fields.Originally published in 1986.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) Oscillations Electromechanical analogies. Oscillations. SCIENCE / General. bisacsh Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package 1980-1999 9783110413441 Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package Science 9783110413595 Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 9783110442496 print 9780691611204 https://doi.org/10.1515/9781400852871 https://www.degruyter.com/isbn/9781400852871 Cover https://www.degruyter.com/cover/covers/9781400852871.jpg |
language |
English |
format |
eBook |
author |
Hayashi, Chihiro, Hayashi, Chihiro, |
spellingShingle |
Hayashi, Chihiro, Hayashi, Chihiro, Nonlinear Oscillations in Physical Systems / Princeton Legacy Library ; Frontmatter -- Preface -- Contents -- Introduction -- Part I. Principal Methods of Nonlinear Analysis -- Chapter 1. Analytical Methods -- Chapter 2 Topological Methods and Graphical Solutions -- Chapter 3. Stability of Nonlinear Systems -- Part II. Forced Oscillations in Steady States -- Chapter 4. Stability of Periodic Oscillations in Second-order Systems -- Chapter 5. Harmonic Oscillations -- Chapter 6. Higher-harmonic Oscillations -- Chapter 7. Subharmonic Oscillations -- Part IV. Self-oscillatory Systems with External Force -- Chapter 12. Entrainment of Frequency -- Chapter 13. Almost Periodic Oscillations -- Appendix I: Expansions of the Mathieu Functions -- Appendix II: Unstable Solutions of Kill's Equation -- Appendix III: Unstable Solutions fox* the Extended Form of Kill's Equation -- Appendix IV: Stability Criterion Obtained by Using the Perturbation Method -- Appendix V: Remarks Concerning Integral Curves and Singular Points -- Appendix VI: Electronic Switch -- Problems -- Bibliography -- Index |
author_facet |
Hayashi, Chihiro, Hayashi, Chihiro, |
author_variant |
c h ch c h ch |
author_role |
VerfasserIn VerfasserIn |
author_sort |
Hayashi, Chihiro, |
title |
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_auth |
Nonlinear Oscillations in Physical Systems / |
title_alt |
Frontmatter -- Preface -- Contents -- Introduction -- Part I. Principal Methods of Nonlinear Analysis -- Chapter 1. Analytical Methods -- Chapter 2 Topological Methods and Graphical Solutions -- Chapter 3. Stability of Nonlinear Systems -- Part II. Forced Oscillations in Steady States -- Chapter 4. Stability of Periodic Oscillations in Second-order Systems -- Chapter 5. Harmonic Oscillations -- Chapter 6. Higher-harmonic Oscillations -- Chapter 7. Subharmonic Oscillations -- Part IV. Self-oscillatory Systems with External Force -- Chapter 12. Entrainment of Frequency -- Chapter 13. Almost Periodic Oscillations -- Appendix I: Expansions of the Mathieu Functions -- Appendix II: Unstable Solutions of Kill's Equation -- Appendix III: Unstable Solutions fox* the Extended Form of Kill's Equation -- Appendix IV: Stability Criterion Obtained by Using the Perturbation Method -- Appendix V: Remarks Concerning Integral Curves and Singular Points -- Appendix VI: Electronic Switch -- Problems -- Bibliography -- Index |
title_new |
Nonlinear Oscillations in Physical Systems / |
title_sort |
nonlinear oscillations in physical systems / |
series |
Princeton Legacy Library ; |
series2 |
Princeton Legacy Library ; |
publisher |
Princeton University Press, |
publishDate |
2014 |
physical |
1 online resource (406 p.) Issued also in print. |
edition |
Course Book |
contents |
Frontmatter -- Preface -- Contents -- Introduction -- Part I. Principal Methods of Nonlinear Analysis -- Chapter 1. Analytical Methods -- Chapter 2 Topological Methods and Graphical Solutions -- Chapter 3. Stability of Nonlinear Systems -- Part II. Forced Oscillations in Steady States -- Chapter 4. Stability of Periodic Oscillations in Second-order Systems -- Chapter 5. Harmonic Oscillations -- Chapter 6. Higher-harmonic Oscillations -- Chapter 7. Subharmonic Oscillations -- Part IV. Self-oscillatory Systems with External Force -- Chapter 12. Entrainment of Frequency -- Chapter 13. Almost Periodic Oscillations -- Appendix I: Expansions of the Mathieu Functions -- Appendix II: Unstable Solutions of Kill's Equation -- Appendix III: Unstable Solutions fox* the Extended Form of Kill's Equation -- Appendix IV: Stability Criterion Obtained by Using the Perturbation Method -- Appendix V: Remarks Concerning Integral Curves and Singular Points -- Appendix VI: Electronic Switch -- Problems -- Bibliography -- Index |
isbn |
9781400852871 9783110413441 9783110413595 9783110442496 9780691611204 |
callnumber-first |
Q - Science |
callnumber-subject |
QA - Mathematics |
callnumber-label |
QA867 |
callnumber-sort |
QA 3867.5 |
url |
https://doi.org/10.1515/9781400852871 https://www.degruyter.com/isbn/9781400852871 https://www.degruyter.com/cover/covers/9781400852871.jpg |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
530 - Physics |
dewey-ones |
531 - Classical mechanics; solid mechanics |
dewey-full |
531.322 |
dewey-sort |
3531.322 |
dewey-raw |
531.322 |
dewey-search |
531.322 |
doi_str_mv |
10.1515/9781400852871 |
oclc_num |
922704517 |
work_keys_str_mv |
AT hayashichihiro nonlinearoscillationsinphysicalsystems |
status_str |
n |
ids_txt_mv |
(DE-B1597)447458 (OCoLC)922704517 |
carrierType_str_mv |
cr |
hierarchy_parent_title |
Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package 1980-1999 Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package Science Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 |
is_hierarchy_title |
Nonlinear Oscillations in Physical Systems / |
container_title |
Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package 1980-1999 |
_version_ |
1806143583708774400 |
fullrecord |
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