Results 11 to 20 of about 4,619,884 (143)
Center and isochronous center at infinity for differential systems [PDF]
Bulletin des Sciences Mathématiques, 2004 In this article, the center conditions and isochronous center conditions at infinity for differential systems are investigated. We give a transformation by which infinity can be transferred into the origin. So we can study the properties of infinity with
Liu, Yirong, Huang, Wentao
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Quadratic Isochronous centers commute [PDF]
Applicationes Mathematicae, 1999 We prove that every quadratic plane differential system having an isochronous center commutes with a polynomial differential ...
Sabatini, M., M. Sabatini
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Isochronous centers of a linear center perturbed by fourth degree homogeneous polynomial [PDF]
Bulletin des Sciences Mathématiques, 1999 In this work we study isochronous centers of two-dimensional autonomous system in the plane with linear part of center type and non-linear part given by homogeneous polynomials of fourth degree.
García, I.A. +5 more
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Darboux Linearization and Isochronous Centers with a Rational First Integral [PDF]
Journal of Differential Equations, 1997 In this paper we study isochronous centers of polynomial systems. It is known that a center is isochronous if and only if it is linearizable. We introduce the notion of Darboux linearizability of a center and give an effective criterion for verifying ...
Mardešić, P. +2 more
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Uniformly isochronous polynomial centers
Electronic Journal of Differential Equations, 2005 We study a specific family of uniformly isochronous polynomial systems. Our results permit us to solve a problem about centers of such systems. We consider the composition conjecture for uniformly isochronous polynomial systems.
Vladimir V. Ivanov, Evgenii P. Volokitin
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The Uniform Isochronous Centers with Homogeneous Nonlinearities of Degree 5
Journal of Dynamical and Control SystemsAltres ajuts: Reial Acadèmia de Ciències i Arts de BarcelonaThe interest in studying the uniform isochronous centers goes back to C. Huygens in the XVII century. Since then, many papers have been published on this subject.
Llibre, Jaume, Dong, Guangfeng
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A survey of isochronous centers [PDF]
Qualitative Theory of Dynamical Systems, 1999 In this survey we give an overview of the results obtained in the study of isochronous centers of vector fields in the plane. This paper consists of two parts. In the first one (sections 2--8), we review some general techniques that proved to be useful in the study of isochronicity.
Sabatini, Marco, J. Chavarriga
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On the Topology of Isochronous Centers of Hamiltonian Differential Systems [PDF]
International Journal of Bifurcation and Chaos, 2019 In this paper, we study the topology of isochronous centers of Hamiltonian differential systems with polynomial Hamiltonian functions [Formula: see text] such that the isochronous center lies on the level curve [Formula: see text]. We prove that, in the one-dimensional homology group of the Riemann surface (removing the points at infinity) of level ...
Guangfeng Dong +2 more
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Limit cycles of continuous piecewise differential systems formed by linear and quadratic isochronous centers I [PDF]
, 2022 First, we study the planar continuous piecewise differential systems separated by the straight line x = 0 formed by a linear isochronous center in x > 0 and an isochronous quadratic center in x 0 the general quadratic isochronous center x =-y + x2-y2, x
Ghermoul, Bilal +2 more
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Linearization of Isochronous Centers
Journal of Differential Equations, 1995 The authors propose a unified technique for the study of the isochronicity of polynomial systems. They first construct the linearizing changes of coordinates for isochronous systems having rational first integrals, namely for quadratic systems, for cubic systems symmetric with respect to a center and for reduced Kukles systems.
Mardesic, P., Rousseau, C., Toni, B.
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