Linearization of non-degenerate analytic centres in

DOI10.1080/14689367.2013.852513zbMath1309.37024OpenAlexW1967204866MaRDI QIDQ5406328

Susanna Maza, Isaac A. García

Publication date: 1 April 2014

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689367.2013.852513

zbMATH Keywords

linearizationthree-dimensional systemLie symmetrycentre

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Dynamics induced by flows and semiflows (37C10)

Cites Work

• The center problem on a center manifold in \(\mathbb{R}^{3}\)
• Existence of inverse Jacobi multipliers around Hopf points in \(\mathbb R^3\): emphasis on the center problem
• Centers on center manifolds in the Lü system
• Isochronicity for several classes of Hamiltonian systems
• Stability and periodic oscillations in the Moon-Rand systems
• On a codimension-three bifurcation arising in a simple dynamo model
• Linearization of analytic isochronous centers from a given commutator
• Inverse Jacobi multipliers
• Normal forms, symmetry and linearization of dynamical systems
• Symmetry and Perturbation Theory in Nonlinear Dynamics

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