Normal forms, symmetry and linearization of dynamical systems

DOI10.1088/0305-4470/31/22/009zbMath0969.34031arXiv1309.2405OpenAlexW2142779243MaRDI QIDQ3836012

Giuseppe Gaeta, Giampaolo Cicogna, Dario Bambusi, Giuseppe Marmo

Publication date: 6 December 1999

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.2405

zbMATH Keywords

dynamical systemslinearizationsymmetries

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Symmetries, invariants of ordinary differential equations (34C14) Control problems involving ordinary differential equations (34H05) Normal forms for dynamical systems (37G05)

Related Items (10)

Symmetry of stochastic non-variational differential equations ⋮ Normal form theory and spectral sequences. ⋮ Properties of monodromic points on center manifolds in \(\mathbb R^3\) via Lie symmetries ⋮ On convergent normal from transformations in presence of symmetries ⋮ Linearization of non-degenerate analytic centres in ⋮ On the integrability problem for the Hopf-zero singularity and its relation with the inverse Jacobi multiplier ⋮ Isochronous Foci for Analytic Differential Systems ⋮ Linearization through state immersion of nonlinear systems admitting Lie symmetries ⋮ Orbital linearization around equilibria of vector fields in \(\mathbb R^n\) and Lie symmetries ⋮ Like-linearizations of vector fields

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