Oscillations in Nonlinear Systems
āĻŽāĻžāĻ°ā§āĻ ā§¨ā§Ļā§§ā§Ģ ¡ Courier Dover Publications
āĻ-āĻŦā§āĻ
192
āĻĒā§āĻˇā§āĻ āĻž
āĻā§āĻ˛
info
āĻāĻ āĻ-āĻŦā§āĻā§āĻ° āĻŦāĻŋāĻˇā§ā§
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.
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.
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...
āĻāĻ°āĻ āĻā§āĻāĻā§āĻ¨
āĻ˛ā§āĻāĻ āĻ¸āĻŽā§āĻĒāĻ°ā§āĻā§
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.
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.
āĻ-āĻŦā§āĻā§ āĻ°ā§āĻāĻŋāĻ āĻĻāĻŋāĻ¨
āĻāĻĒāĻ¨āĻžāĻ° āĻŽāĻ¤āĻžāĻŽāĻ¤ āĻāĻžāĻ¨āĻžāĻ¨āĨ¤
āĻĒāĻ āĻ¨ āĻ¤āĻĨā§āĻ¯
āĻ¸ā§āĻŽāĻžāĻ°ā§āĻāĻĢā§āĻ¨ āĻāĻŦāĻ āĻā§āĻ¯āĻžāĻŦāĻ˛ā§āĻ
Android āĻāĻŦāĻ iPad/iPhone āĻāĻ° āĻāĻ¨ā§āĻ¯ Google Play āĻŦāĻ āĻ
ā§āĻ¯āĻžāĻĒ āĻāĻ¨āĻ¸ā§āĻāĻ˛ āĻāĻ°ā§āĻ¨āĨ¤ āĻāĻāĻŋ āĻāĻĒāĻ¨āĻžāĻ° āĻ
ā§āĻ¯āĻžāĻāĻžāĻāĻ¨ā§āĻā§āĻ° āĻ¸āĻžāĻĨā§ āĻ
āĻā§āĻŽā§āĻāĻŋāĻ āĻ¸āĻŋāĻā§āĻ āĻšā§ āĻ āĻāĻĒāĻ¨āĻŋ āĻ
āĻ¨āĻ˛āĻžāĻāĻ¨ āĻŦāĻž āĻ
āĻĢāĻ˛āĻžāĻāĻ¨ āĻ¯āĻžāĻ āĻĨāĻžāĻā§āĻ¨ āĻ¨āĻž āĻā§āĻ¨ āĻāĻĒāĻ¨āĻžāĻā§ āĻĒā§āĻ¤ā§ āĻĻā§ā§āĨ¤
āĻ˛ā§āĻ¯āĻžāĻĒāĻāĻĒ āĻ āĻāĻŽā§āĻĒāĻŋāĻāĻāĻžāĻ°
Google Play āĻĨā§āĻā§ āĻā§āĻ¨āĻž āĻ
āĻĄāĻŋāĻāĻŦā§āĻ āĻāĻĒāĻ¨āĻŋ āĻāĻŽā§āĻĒāĻŋāĻāĻāĻžāĻ°ā§āĻ° āĻā§ā§āĻŦ āĻŦā§āĻ°āĻžāĻāĻāĻžāĻ°ā§ āĻļā§āĻ¨āĻ¤ā§ āĻĒāĻžāĻ°ā§āĻ¨āĨ¤
eReader āĻāĻŦāĻ āĻ
āĻ¨ā§āĻ¯āĻžāĻ¨ā§āĻ¯ āĻĄāĻŋāĻāĻžāĻāĻ¸
Kobo eReaders-āĻāĻ° āĻŽāĻ¤ā§ e-ink āĻĄāĻŋāĻāĻžāĻāĻ¸ā§ āĻĒāĻĄāĻŧāĻ¤ā§, āĻāĻĒāĻ¨āĻžāĻā§ āĻāĻāĻāĻŋ āĻĢāĻžāĻāĻ˛ āĻĄāĻžāĻāĻ¨āĻ˛ā§āĻĄ āĻ āĻāĻĒāĻ¨āĻžāĻ° āĻĄāĻŋāĻāĻžāĻāĻ¸ā§ āĻā§āĻ°āĻžāĻ¨ā§āĻ¸āĻĢāĻžāĻ° āĻāĻ°āĻ¤ā§ āĻšāĻŦā§āĨ¤ āĻŦā§āĻ¯āĻŦāĻšāĻžāĻ°āĻāĻžāĻ°ā§āĻ° āĻāĻĻā§āĻĻā§āĻļā§āĻ¯ā§ āĻ¤ā§āĻ°āĻŋ āĻ¸āĻšāĻžā§āĻ¤āĻž āĻā§āĻ¨ā§āĻĻā§āĻ°āĻ¤ā§ āĻĻā§āĻā§āĻž āĻ¨āĻŋāĻ°ā§āĻĻā§āĻļāĻžāĻŦāĻ˛ā§ āĻ
āĻ¨ā§āĻ¸āĻ°āĻŖ āĻāĻ°ā§ āĻ¯ā§āĻ¸āĻŦ eReader-āĻ āĻĢāĻžāĻāĻ˛ āĻĒāĻĄāĻŧāĻž āĻ¯āĻžāĻŦā§ āĻ¸ā§āĻāĻžāĻ¨ā§ āĻā§āĻ°āĻžāĻ¨ā§āĻ¸āĻĢāĻžāĻ° āĻāĻ°ā§āĻ¨āĨ¤
