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Reseña del editor By focusing on ordinary differential equations that contain a small parameter, this concise graduate-level introduction to the theory of nonlinear oscillations provides a unified approach to obtaining periodic solutions to nonautonomous and autonomous differential equations. It also indicates key relationships with other related procedures and probes the consequences of the methods of averaging and integral manifolds.Part I of the text features introductory material, including discussions of matrices, linear systems of differential equations, and stability of solutions of nonlinear systems. Part II offers extensive treatment of periodic solutions, including the general theory for periodic solutions based on the work of Cesari-Halel-Gambill, with specific examples and applications of the theory. Part III covers various aspects of almost periodic solutions, including methods of averaging and the existence of integral manifolds. An indispensable resource for engineers and mathematicians with knowledge of elementary differential equations and matrices, this text is illuminated by numerous clear examples. Contraportada By focusing on ordinary differential equations that contain a small parameter, this concise graduate-level introduction to the theory of nonlinear oscillations provides a unified approach to obtaining periodic solutions to nonautonomous and autonomous differential equations. It also indicates key relationships with other related procedures and probes the consequences of the methods of averaging and integral manifolds.Part I of the text features introductory material, including discussions of matrices, linear systems of differential equations, and stability of solutions of nonlinear systems. Part II offers extensive treatment of periodic solutions, including the general theory for periodic solutions based on the work of Cesari-Halel-Gambill, with specific examples and applications of the theory. Part III covers various aspects of almost periodic solutions, including methods of averaging and the existence of integral manifolds. An indispensable resource for engineers and mathematicians with knowledge of elementary differential equations and matrices, this text is illuminated by numerous clear examples. Dover (2015) republication of the edition originally published by McGraw-Hill, New York, in 1963, and reprinted by Dover Publications, Inc., in 1992.See every Dover book in print atwww.doverpublications.com BiografÃa del autor A longtime professor at Brown University, Jack K. Hale is Regents Professor Emeritus at the Georgia Institute of Technology and the author of Dover's Ordinary Differential Equations.
Introduction to nonlinear oscillations wiley online books forced oscillations in weakly nonlinear systems with one degree of freedom pages 185196 summary pdf request permissions chapter 15 forced synchronization of a selfoscillatory system with a periodic external force pages 197208 summary pdf
Nonlinear oscillations wiley online books treats systems having a single degree of freedom introducing basic concepts and analytical methods extends concepts and methods to systems having degrees of freedom most of this material cannot be found in any other text uses simple physical examples to explain nonlinear dispersive and nondispersive waves
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Nonlinear oscillations wiley a selfcontained and thorough treatment of the vigorous research that has occurred in nonlinear mechanics since 1970 begins with fundamental concepts and techniques of analysis and progresses through recent developments provides an overview that abstracts and introduces main nonlinear phenomena treats systems having a single degree of freedom introducing basic concepts and analytical
Nonlinear oscillations book 1979 worldcat nonconservative singledegreeoffreedom systems forced oscillations of systems having a single degree of freedom parametrically excited systems systems having finite degrees of freedom continuous systems traveling waves references index series title pure and applied mathematics responsibility ali hasan nayfeh dean t
Oscillations in nonlinear systems dover books by focusing on ordinary differential equations that contain a small parameter this concise graduatelevel introduction provides a unified approach for obtaining periodic solutions to nonautonomous and autonomous differential equations an indispensable resource for engineers and mathematicians with a knowledge of elementary differential equations and matrices the text features numerous clear
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