TY - BOOK AU - Hayashi,Chihiro TI - Nonlinear Oscillations in Physical Systems T2 - Princeton Legacy Library SN - 9780691611204 AV - QA867.5 U1 - 531.322 22 PY - 2014///] CY - Princeton, NJ : PB - Princeton University Press, KW - Oscillations KW - Electromechanical analogies KW - SCIENCE / General KW - bisacsh N1 - 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; Issued also in print N2 - 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 UR - https://doi.org/10.1515/9781400852871 UR - https://www.degruyter.com/isbn/9781400852871 UR - https://www.degruyter.com/cover/covers/9781400852871.jpg ER -