The Poincaré map of degenerate monodromic singularities with Puiseux inverse integrating factor
Advances in Nonlinear Analysis, 2023 We consider analytic families of planar vector fields depending analytically on the parameters in Λ\Lambda that guarantee the existence of a (may be degenerate and with characteristic directions) monodromic singularity.
García Isaac A., Giné Jaume
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Periodic solutions of some polynomial differential systems in dimension 5 via averaging theory
Nonautonomous Dynamical Systems, 2023 In this article, we provide sufficient conditions for the existence of periodic solutions for the polynomial differential system of the form x˙=−y+εP1(x,y,z,u,v)+h1(t),y˙=x+εP2(x,y,z,u,v)+h2(t),z˙=−u+εP3(x,y,z,u,v)+h3(t),u˙=z+εP4(x,y,z,u,v)+h4(t),v˙=λv ...
Tabet Achref Eddine, Makhlouf Amar
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On a computer-aided approach to the computation of Abelian integrals [PDF]
, 2011 An accurate method to compute enclosures of Abelian integrals is developed. This allows for an accurate description of the phase portraits of planar polynomial systems that are perturbations of Hamiltonian systems.
A. Neumaier +27 more
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On the number of limit cycles in discontinuous piecewise linear differential systems with two pieces separated by a straight line [PDF]
, 2014 In this paper we study the maximum number $N$ of limit cycles that can exhibit a planar piecewise linear differential system formed by two pieces separated by a straight line.
Euzébio, Rodrigo D., Llibre, Jaume
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Hopf bifurcation in a dynamic IS-LM model with time delay [PDF]
, 2005 In this paper we investigate the impact of delayed tax revenues on the fiscal policy out-comes. Choosing the delay as a bifurcation parameter we study the direction and the stability of the bifurcating periodic solutions.
Chilarescu, Constantin +2 more
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Periodic solutions for a class of Duffing differential equations
Moroccan Journal of Pure and Applied Analysis, 2019 We provide sufficient conditions for the existence of periodic solutions for the class of Duffing differential ...
Feddaoui Amina +2 more
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On the birth of limit cycles for non-smooth dynamical systems [PDF]
, 2014 The main objective of this work is to develop, via Brower degree theory and regularization theory, a variation of the classical averaging method for detecting limit cycles of certain piecewise continuous dynamical systems.
Andronov +31 more
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Simultaneous occurrence of sliding and crossing limit cycles in piecewise linear planar vector fields [PDF]
, 2019 In the present study we consider planar piecewise linear vector fields with two zones separated by the straight line $x=0$. Our goal is to study the existence of simultaneous crossing and sliding limit cycles for such a class of vector fields.
Cardoso, Joao L. +3 more
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Periodic orbits of the planar anisotropic Kepler problem [PDF]
, 2017 Agraïments: The second author of this work was partially supported by Fundación Séneca de la Región de Murcia grant number 19219/PI/14.In this paper we prove that at every energy level the anisotropic problem with small anisotropy has two periodic orbits
Abouelmagd, Elbaz I. +2 more
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Zero-Hopf bifurcation in the FitzHugh-Nagumo system [PDF]
, 2014 We characterize the values of the parameters for which a zero--Hopf equilibrium point takes place at the singular points, namely, $O$ (the origin), $P_+$ and $P_-$ in the FitzHugh-Nagumo system.
Baldomá +26 more
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