Self-similar solutions and power geometry

DOI10.1070/RM2000v055n01ABEH000248zbMath0957.34002OpenAlexW2026235179MaRDI QIDQ4515841

Alexander D. Bruno

Publication date: 23 November 2000

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm2000v055n01abeh000248

zbMATH Keywords

self-similar solutionspower geometryparameter-free partial differential equations

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Geometric methods in ordinary differential equations (34A26) Normal forms on manifolds (58K50) Classification; finite determinacy of map germs (58K40) Research exposition (monographs, survey articles) pertaining to ordinary differential equations (34-02)

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Stability sets of multiparameter Hamiltonian systems ⋮ Description of stable chemical elements by an \(aF\) diagram and mean square fluctuations ⋮ Asymptotic theory of flows for the near wake of an axisymmetric body ⋮ Powerlogarithmic expansions of solutions to a system of ordinary differential equations ⋮ Nonpower asymptotic forms of solutions to a system of ordinary differential equations ⋮ Power asymptotics of solutions to an ODE system ⋮ Periodic solutions of the restricted three-body problem for a small mass ratio ⋮ Chebyshev economization in Poincaré-Dulac transformations of nonlinear systems ⋮ An axisymmetric boundary layer on a needle

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