Results 1 to 10 of about 55,794 (154)
A Survey on the Inverse Integrating Factor [PDF]
Qualitative Theory of Dynamical Systems, 2010 The relation between limit cycles of planar differential systems and the inverse integrating factor was first shown in an article of Giacomini, Llibre and Viano appeared in 1996. From that moment on, many research articles are devoted to the study of the properties of the inverse integrating factor and its relation with limit cycles and their ...
Isaac A Garcia +2 more
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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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Integrability of planar nilpotent differential systems through the existence of an inverse integrating factor [PDF]
Communications in Nonlinear Science and Numerical Simulation, 2019 In this work is characterized the analytic integrability problem around a nilpotent singularity for differential systems in the plane under generic conditions. The analytic integrability problem is characterized via the existence of a formal inverse integrating factor.
Antonio Algaba +2 more
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A class of non-integrable systems admitting an inverse integrating factor
Journal of Mathematical Analysis and Applications, 2014 We study the existence of an inverse integrating factor for a class of systems, in general non-integrable, whose lowest-degree quasi-homogeneous term is a Hamiltonian system and its Hamiltonian function only has simple factors over C[x; y].
Antonio Algaba, Cristobal Garcia Garcia
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Science Journal of University of Zakho, 2017 The main purpose of this paper is to study the existence of polynomial inverse integrating factor and first integral, and non-existence of limit cycles for all systems. Furthermore, we consider some applications.
Ahmed M. Hussien
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Generalized Hopf Bifurcation for Planar Vector Fields via the Inverse Integrating Factor [PDF]
Journal of Dynamics and Differential Equations, 2011 41 pages, no ...
Isaac A Garcia +2 more
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Polynomial inverse integrating factors for polynomial vector fields
Discrete and Continuous Dynamical Systems, 2007 We present some results and one open question on the existence of polynomial inverse integrating factors for polynomial vector fields.
Adam Mahdi +2 more
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Non-formally integrable centers admitting an algebraic inverse integrating factor
Discrete and Continuous Dynamical Systems, 2018 Westudy the existence of a class of inverse integrating factor for a family of non formally integrable systems, in general, whose lowest-degree quasi-homogeneous term is a Hamiltonian vector field. Once the existence of an inverse integrat ing factor is established, we characterize the systems having a center. Among others, we characterize the centers
Antonio Algaba, Cristobal Garcia Garcia
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Existence of inverse integrating factors and Lie symmetries for degenerate planar centers
Journal of Differential Equations, 2012 In this paper, the authors prove that every analytic planar vector field \(X\) with an isolated (possibly degenerate) center singularity at \(0\in\mathbb{R}^2\) admits a smooth inverse integrating factor (IIF) on a neighbourhood \(B\) of \(0\) that is positive in \(B-\{0\}\) and flat at the origin.
Daniel Peralta-Salas, Jaume Gine
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Non-existence of limit cycles via inverse integrating factors
Electronic Journal of Differential Equations, 2011 It is known that if a planar differential systems has an inverse integrating factor, then all the limit cycles contained in the domain of definition of the inverse integrating factor are contained in the zero set of this function.
Leonardo Laura-Guarachi +2 more
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