Like-linearizations of vector fields

DOI10.1016/j.bulsci.2009.09.006zbMath1196.37080OpenAlexW2089623861MaRDI QIDQ1046484

Manuel Reyes, Cristóbal García, Antonio Algaba

Publication date: 22 December 2009

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2009.09.006

zbMATH Keywords

degenerate dynamical systemsvector fields and their linearizations

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Low-dimensional dynamical systems (37E99)

Related Items (11)

Analytic integrability of some examples of degenerate planar vector fields ⋮ ON THE DEGENERATE CENTER PROBLEM ⋮ 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 ⋮ Existence of an inverse integrating factor, center problem and integrability of a class of nilpotent systems ⋮ Analytical integrability of perturbations of quadratic systems ⋮ Analytic integrability around a nilpotent singularity ⋮ Analytical integrability problem for perturbations of cubic Kolmogorov systems ⋮ Quasi-homogeneous linearization of degenerate vector fields ⋮ Analytically integrable centers of perturbations of cubic homogeneous systems

Cites Work

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• On the reduction of differential equations to the normal form by an analytic transformation
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• On the convergence of normalizing transformations in the presence of symmetries
• The center problem for a family of systems of differential equations having a nilpotent singular point
• Linearizability and integrability of vector fields via commutation
• The integrability problem for a class of planar systems
• Normal forms, symmetry and linearization of dynamical systems
• Isochronous centres and foci via commutators and normal forms
• Equivalence and Decomposition of Vector Fields About an Elementary Critical Point
• Isochronicity via normal form

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