Theory of oscillations
著者
書誌事項
Theory of oscillations
（Series on optimization, vol. 4）
World Scientific, c1999
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注記
Includes bibliographical references (p. 393-395 ) and index
内容説明・目次
内容説明
This monograph deals with the controlled/non-controlled nonlinear systems of differential equations. A mathematical apparatus is developed to construct stationary conditions and to carry out studies on the behaviour of integral curves in the neighbourhood of such conditions.Considerable coverage is given to existence and methods of finding periodic orbits and almost-periodic solutions, as well as to the description of the class of ergodic recurrent motions. There is further treatment of the perturbation method and the theory of time-independent and periodic perturbations in particular.The theory developed here is applied to the construction and investigation of the neigbourhood of time-independent conditions for nonlinear systems of automatic control, and the control of charged particle beam in magnetic field. Some other specific problems are also solved such as after effect systems and orbit quantization.
目次
- Preliminary representations and analyses of motion family behaviour
- on behaviour of trajectories in the neighbourhood of a periodic orbit
- natural and forced oscillations in systems with many degrees of freedom
- oscillations in nonlinear and controlled systems. Appendix: theory of rated stability.
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