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Pàgina inicial > Articles > Articles publicats > Limit Cycles of piecewise-continuous differential systems formed by linear and quadratic isochronous centers II |
Títol variant: | Limit cycles of continuous piecewise differential systems formed by linear and quadratic isochronous centers II |
Data: | 2022 |
Resum: | We study the crossing periodic orbits and limit cycles of the planar piecewise-continuous differential systems separated by the straight-line x = 0 having in x > 0 the general quadratic isochronous center ẋ = -y + x2, y˙ = x(1 + y) after an affine transformation, and in x < 0 an arbitrary quadratic isochronous center except for the quadratic isochronous center ẋ = -y + x2 - y2, y˙ = x(1 + 2y) which has been studied in [Ghermoul et al. , 2021]. For these piecewise-continuous differential systems the upper bound of crossing limit cycles is 2, and there are specific examples having one crossing limit cycle. |
Ajuts: | Agencia Estatal de Investigación PID2019-104658GB-I00 Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617 European Commission 777911 |
Drets: | Tots els drets reservats. |
Llengua: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Matèria: | Limit cycles ; Isochronous quadratic centers ; Continuous piecewise linear differential systems ; First integrals |
Publicat a: | International journal of bifurcation and chaos in applied sciences and engineering, Vol. 32, Issue 6 (May 2022) , art. 2250091, ISSN 1793-6551 |
Postprint 45 p, 594.9 KB |