04192cam a2200637Ma 4500 ocn911200392 OCoLC 20171024104603.0 m o d cr cnu---unuuu 090713s2015 gw ob 001 0 eng d 9783527695942 (electronic bk.) 352769594X (electronic bk.) 9783527685424 (electronic bk.) 3527685421 (electronic bk.) 3527413308 9783527413300 9783527685431 352768543X 9783527685394 3527685391 EB00612355 Recorded Books DEBBG BV043397896 DEBBG BV043625937 GBVCP 836426312 DEBSZ 480360669 (OCoLC)911200392 RECBK eng pn RECBK OCLCO DG1 YDXCP OCLCF EBLCP OCLCQ OCLCO COO N$T IDEBK CDX DEBBG OCLCQ KSU DEBSZ MAIN QA867.5 SCI 041000 bisacsh SCI 096000 bisacsh 531/.32 23 Nekorkin, Vladimir I. Introduction to nonlinear oscillations / Vladimir I. Nekorkin. [electronic resource] Weinheim : Wiley-VCH, 2015. 1 online resource text txt rdacontent computer c rdamedia online resource cr rdacarrier Title from resource description page (Recorded Books, viewed June 15, 2015). Includes bibliographical references and index. Introduction 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. A 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. Nonlinear oscillations. Science. SCIENCE Physics Mathematical & Computational. bisacsh SCIENCE Mechanics General. bisacsh SCIENCE Mechanics Solids. bisacsh Nonlinear oscillations. fast (OCoLC)fst01038804 Science. fast (OCoLC)fst01108176 Electronic books. Print version: Nekorkin, Vladimir I. Introduction to nonlinear oscillations. Russia ; Weinheim an der Bergstrasse, [Germany] : Higher Education Press : Wiley-VCH, ©2015 290 pages 9783527413300 http://onlinelibrary.wiley.com/book/10.1002/9783527695942 Wiley Online Library ddc BK 208091 208091