Structure and convergence of Poincaré-like normal forms

DOI10.1016/S0375-9601(97)00469-6zbMath0923.34034OpenAlexW3098257814MaRDI QIDQ1364416

S. Louies, Léon Brenig

Publication date: 3 September 1997

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(97)00469-6

zbMATH Keywords

series expansionRiccati equationnonlocal transformationPoincaré like normal forms

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Normal forms for dynamical systems (37G05)

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Dynamical systems I. Ordinary differential equations and smooth dynamical systems. Transl. from the Russian
• Analytical approach to initial-value problems in nonlinear systems
• Nonpolynomial vector fields under the Lotka-Volterra normal form
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