Theory of oscillations:
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...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Singapore
World Scientific Pub. Co.
c1999
|
| Series: | Series on optimization
vol. 4 |
| Subjects: | |
| Online Access: | FHN01 Volltext |
| Summary: | 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 |
| Physical Description: | viii, 399 p. ill |
| ISBN: | 9789812817570 |
Staff View
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| 245 | 1 | 0 | |a Theory of oscillations |c Vladimir I. Zubov ; translation by J.M. Donetz |
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| id | DE-604.BV044636646 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:49Z |
| institution | BVB |
| isbn | 9789812817570 |
| language | English |
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| physical | viii, 399 p. ill |
| psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
| publishDate | 1999 |
| publishDateSearch | 1999 |
| publishDateSort | 1999 |
| publisher | World Scientific Pub. Co. |
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| series2 | Series on optimization |
| spelling | Zubov, Vladimir Ivanovich Verfasser aut Theory of oscillations Vladimir I. Zubov ; translation by J.M. Donetz Singapore World Scientific Pub. Co. c1999 viii, 399 p. ill txt rdacontent c rdamedia cr rdacarrier Series on optimization vol. 4 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 Oscillations Schwingung (DE-588)4053999-4 gnd rswk-swf Schwingung (DE-588)4053999-4 s 1\p DE-604 Erscheint auch als Druck-Ausgabe 9789810209780 http://www.worldscientific.com/worldscibooks/10.1142/1669#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Zubov, Vladimir Ivanovich Theory of oscillations Oscillations Schwingung (DE-588)4053999-4 gnd |
| subject_GND | (DE-588)4053999-4 |
| title | Theory of oscillations |
| title_auth | Theory of oscillations |
| title_exact_search | Theory of oscillations |
| title_full | Theory of oscillations Vladimir I. Zubov ; translation by J.M. Donetz |
| title_fullStr | Theory of oscillations Vladimir I. Zubov ; translation by J.M. Donetz |
| title_full_unstemmed | Theory of oscillations Vladimir I. Zubov ; translation by J.M. Donetz |
| title_short | Theory of oscillations |
| title_sort | theory of oscillations |
| topic | Oscillations Schwingung (DE-588)4053999-4 gnd |
| topic_facet | Oscillations Schwingung |
| url | http://www.worldscientific.com/worldscibooks/10.1142/1669#t=toc |
| work_keys_str_mv | AT zubovvladimirivanovich theoryofoscillations |