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  5. Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.44 (2012)
  6. Linearizations, normalizations and isochrones of planar differential systems
 
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Linearizations, normalizations and isochrones of planar differential systems

Sabatini, Marco
2012
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ISSN
0049-4704
http://hdl.handle.net/10077/8279
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Abstract
In the first section we collect some unpublished results presented in [17], related to linearizations and normalizations of planar centers. In the second section we consider both the problem of finding isochrones of isochronous systems (centers or not) and its inverse, i.e. given a family of curves filling an open set, how to construct a system having such curves as isochrones. In particular, we show that for every family of curves y = mx+d(x), m ∈ IR, there exists a Liénard system having such curves as isochrones.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
44 (2012)
Subjects
  • planar systems

  • period function

Publisher
EUT Edizioni Università di Trieste
Source
Marco Sabatini, "Linearizations, normalizations and isochrones of planar differential systems", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 44 (2012), pp. 153–171.
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