Reversible-equivariant systems and matricial equations

DOI10.1590/S0001-37652011000200003zbMath1222.34038arXiv0809.0299MaRDI QIDQ3087146

Ricardo Miranda Martins, Marco Antonio Teixeira

Publication date: 2 August 2011

Published in: Anais da Academia Brasileira de Ciências (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.0299

zbMATH Keywords

normal formsHamiltonian equationsinvolutory symmetriesreversible-equivariant dynamical systems

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Symmetries, invariants of ordinary differential equations (34C14) Dynamics induced by flows and semiflows (37C10)

Related Items (6)

Normal form theory for reversible equivariant vector fields ⋮ Formal equivalence between normal forms of reversible and Hamiltonian dynamical systems ⋮ Normal forms of \(\omega\)-Hamiltonian vector fields with symmetries ⋮ Generalized involutive symmetry and its application in integrability of differential systems ⋮ High-Order Analysis of Global Bifurcations in a Codimension-Three Takens–Bogdanov Singularity in Reversible Systems ⋮ Normal forms of bireversible vector fields

Cites Work

• Phase portraits of reversible linear differential systems with cubic homogeneous polynomial nonlinearities having a non-degenerate center at the origin
• Effective algebraic geometry and normal forms of reversible mappings
• Time-reversal symmetry in dynamical systems: a survey
• Invariant theory and reversible-equivariant vector fields
• Singularities of reversible vector fields
• \(C^\infty\)-normal forms of local vector fields
• Locally compact groups of differentiable transformations

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