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_a531/.32 _223 |
| 049 | _aMAIN | ||
| 100 | 1 | _aNekorkin, Vladimir I. | |
| 245 | 1 | 0 |
_aIntroduction to nonlinear oscillations / _cVladimir I. Nekorkin. |
| 260 |
_aWeinheim : _bWiley-VCH, _c2015. |
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| 300 | _a1 online resource | ||
| 336 |
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_acomputer _bc _2rdamedia |
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_aonline resource _bcr _2rdacarrier |
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| 520 | _aA systematic outline of the basic theory of oscillations, combining several tools in a single textbook. The author explains fundamental ideas and methods, while equally aiming to teach students the techniques of solving specific (practical) or more complex problems. Following an introduction to fundamental notions and concepts of modern nonlinear dynamics, the text goes on to set out the basics of stability theory, as well as bifurcation theory in one and two-dimensional cases. Foundations of asymptotic methods and the theory of relaxation oscillations are presented, with much attention paid to a method of mappings and its applications. With each chapter including exercises and solutions, including computer problems, this book can be used in courses on oscillation theory for physics and engineering students. It also serves as a good reference for students and scientists in computational neuroscience. | ||
| 505 | 0 | _aIntroduction to the Theory of Oscillations -- One-Dimensional Dynamics -- Stability of Equilibria. A Classification of Equilibria of Two-Dimensional Linear Systems -- Analysis of the Stability of Equilibria of Multidimensional Nonlinear Systems -- Linear and Nonlinear Oscillators -- Basic Properties of Maps -- Limit Cycles -- Basic Bifurcations of Equilibria in the Plane -- Bifurcations of Limit Cycles. Saddle Homoclinic Bifurcation -- The Saddle-Node Homoclinic Bifurcation. Dynamics of Slow-Fast Systems in the Plane -- Dynamics of a Superconducting Josephson Junction -- The Van der Pol Method. Self-Sustained Oscillations and Truncated Systems -- Forced Oscillations of a Linear Oscillator -- Forced Oscillations in Weakly Nonlinear Systems with One Degree of Freedom -- Forced Synchronization of a Self-Oscillatory System with a Periodic External Force -- Parametric Oscillations -- Answers to Selected Exercises. | |
| 504 | _aIncludes bibliographical references and index. | ||
| 500 | _aTitle from resource description page (Recorded Books, viewed June 15, 2015). | ||
| 650 | 0 | _aNonlinear oscillations. | |
| 650 | 0 | _aScience. | |
| 650 | 7 |
_aSCIENCE _xPhysics _xMathematical & Computational. _2bisacsh |
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| 650 | 7 |
_aSCIENCE _xMechanics _xGeneral. _2bisacsh |
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| 650 | 7 |
_aSCIENCE _xMechanics _xSolids. _2bisacsh |
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| 650 | 7 |
_aNonlinear oscillations. _2fast _0(OCoLC)fst01038804 |
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| 650 | 7 |
_aScience. _2fast _0(OCoLC)fst01108176 |
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| 655 | 4 | _aElectronic books. | |
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_iPrint version: _aNekorkin, Vladimir I. _tIntroduction to nonlinear oscillations. _dRussia ; Weinheim an der Bergstrasse, [Germany] : Higher Education Press : Wiley-VCH, ©2015 _h290 pages _z9783527413300 |
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_uhttp://onlinelibrary.wiley.com/book/10.1002/9783527695942 _zWiley Online Library [Free Download only for SUST IP] |
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