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A necessary and sufficient condition for transforming autonomous systems into linear autonomous Birkhoffian systems
- Source :
- Chinese Physics B. 22:104501
- Publication Year :
- 2013
- Publisher :
- IOP Publishing, 2013.
-
Abstract
- The problem of transforming autonomous systems into Birkhoffian systems is studied. A reasonable form of linear autonomous Birkhoff equations is given. By combining them with the undetermined tensor method, a necessary and sufficient condition for an autonomous system to have a representation in terms of linear autonomous Birkhoff equations is obtained. The methods of constructing Birkhoffian dynamical functions are given. Two examples are given to illustrate the application of the results.
Details
- ISSN :
- 16741056
- Volume :
- 22
- Database :
- OpenAIRE
- Journal :
- Chinese Physics B
- Accession number :
- edsair.doi...........fa4db3f56ba7aca8062897c70391e040