A class of non-integrable systems admitting an inverse integrating factor

DOI10.1016/j.jmaa.2014.06.047zbMath1333.37076OpenAlexW2063378353MaRDI QIDQ401084

Antonio Algaba, Cristóbal García, Natalia Fuentes, Manuel Reyes

Publication date: 26 August 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.06.047

zbMATH Keywords

integrabilityinverse integrating factororbital equivalent normal form

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30)

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The center problem for \(\mathbb{Z}_2\)-symmetric nilpotent vector fields ⋮ Algebraic Inverse Integrating Factors for a Class of Generalized Nilpotent Systems ⋮ Non-formally integrable centers admitting an algebraic inverse integrating factor ⋮ Nilpotent centres via inverse integrating factors ⋮ Integrability of planar nilpotent differential systems through the existence of an inverse integrating factor ⋮ On the integrability problem for the Hopf-zero singularity and its relation with the inverse Jacobi multiplier ⋮ Quasi-homogeneous linearization of degenerate vector fields ⋮ Orbital normal forms for a class of three-dimensional systems with an application to Hopf-zero bifurcation analysis of Fitzhugh-Nagumo system ⋮ Monodromy of a class of analytic generalized nilpotent systems through their Newton diagram

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