scientific article; zbMATH DE number 554751
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Publication:4288568
zbMath0797.34040MaRDI QIDQ4288568
Publication date: 13 October 1994
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
integrabilitynormal formscomputer algebrafirst integralsPuiseux seriesweak-Painlevé propertyPoincaré normal formgeneralized Lotka-Volterra formquasi-monomial (QM) transformations
Symbolic computation and algebraic computation (68W30) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20)
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The singularity analysis for nearly integrable systems: homoclinic intersections and local multivaluedness ⋮ Structure and convergence of Poincaré-like normal forms ⋮ Applications of the computer algebra to ballistics ⋮ Permanence and boundedness of solutions of quasi-polynomial systems ⋮ Finite-time blow-up in dynamical systems ⋮ Necessary and sufficient conditions for finite time singularities in ordinary differential equations ⋮ Painlevé analysis and normal forms theory ⋮ A novel approach for the stability problem in non-linear dynamical systems ⋮ An algorithm for determining a class of invariants in quasi-polynomial systems ⋮ Painlevé equation PII and strongly normal extensions
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