dc.contributor.author | Strelcyn, Jean-Marie | |
dc.contributor.editor | Krasiński, Tadeusz | |
dc.contributor.editor | Spodzieja, Stanisław | |
dc.date.accessioned | 2017-12-13T11:24:10Z | |
dc.date.available | 2017-12-13T11:24:10Z | |
dc.date.issued | 2013 | |
dc.identifier.citation | Strelcyn J. M., On Chouikha’s isochronicity criterion, [in:] Krasiński T., Spodzieja S. (eds.), Analytic and Algebraic Geometry, Łódź University Press, Łódź 2013, s. 135-139, doi: 10.18778/7969-017-6.10 | pl_PL |
dc.identifier.isbn | 978-83-7969-017-6 | |
dc.identifier.uri | http://hdl.handle.net/11089/23616 | |
dc.description.abstract | Recently A.R.Chouikha gave a new characterization of isochronicity of center at the origin for the equation x'' + g(x) = 0, where g is a real
smooth function de_ned in some neighborhood of 0 ϵ R. We present some
new development of the subject. The present text is a short account of my
paper "On Chouikha's isochronicity criterion", arXiv:1201.6503, where the
proofs can be found. We correct the formulation of some results from the
above paper. | pl_PL |
dc.language.iso | en | pl_PL |
dc.publisher | Wydawnictwo Uniwersytetu Łódzkiego | pl_PL |
dc.relation.ispartof | Krasiński T., Spodzieja S. (eds.), Analytic and Algebraic Geometry, Łódź University Press, Łódź 2013; | |
dc.rights | Uznanie autorstwa-Użycie niekomercyjne-Bez utworów zależnych 3.0 Polska | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/pl/ | * |
dc.title | On Chouikha’s isochronicity criterion | pl_PL |
dc.type | Book chapter | pl_PL |
dc.rights.holder | © Copyright by University of Łódź, Łódź 2013 | pl_PL |
dc.page.number | 135-139 | pl_PL |
dc.contributor.authorAffiliation | Laboratoire de Mathmatiques Raphaël Salem, CNRS, Université de Rouen, Avenue de l’Universit BP 12, 76801 Saint-Etienne-du-Rouvray, France | pl_PL |
dc.contributor.authorAffiliation | Laboratoire Analyse Gémetrie et Applications, UMR CNRS 7539, Institut Gallile, Universit Paris 13,, 99 Avenue J.-B. Clment, 93430 Villetaneuse, France | pl_PL |
dc.references | A.R. Chouikha. Period function and characterizations of isochronous potentials. arXiv: 1109.4611, 2011. | pl_PL |
dc.references | S.N. Chow and D. Wang. On the monotonicity of the period function of some second order equations. Casopis Pest. Mat.,111, 14-25, 1986. | pl_PL |
dc.references | I. Koukles and N. Piskounov. Sur les vibrations tautochrones dans les systmes conservatifs et non conservatifs. C. R. Acad. Sci., URSS, XVII(9), 417-475, 1937. | pl_PL |
dc.references | M. Robnik and V.G. Romanovskii. On Urabe's criteria of isochronicity. J. Phys; A 32(7), 1279-1283, 1999. | pl_PL |
dc.references | M. Urabe. The potential force yielding a periodic motion whose period is an arbitrary continuous function of the amplitude of the velocity. Arch. Ration. Mech. Anal., 11:27-33, 1962. | pl_PL |
dc.identifier.doi | 10.18778/7969-017-6.10 | |