Rate of decay in critical cases. I: Finite-dimensional problems

DOI10.1016/0022-247X(80)90320-0zbMath0457.34041OpenAlexW4205950193MaRDI QIDQ1150740

S. H. Smith

Publication date: 1980

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(80)90320-0

zbMATH Keywords

center manifoldinvariant manifoldasymptotical stability

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Asymptotic properties of solutions to ordinary differential equations (34D05) Stability theory for smooth dynamical systems (37C75) Ordinary differential operators (34L99)

Related Items

On the influence of resonances on the asymptotic behavior of trajectories of nonlinear systems in critical cases, Rate of decay in critical cases. II: Infinite-dimensional problems, Geometric treatments and a common mechanism in finite-time singularities for autonomous ODEs, Invariant manifolds with asymptotic phase, A reduction principle for nonautonomous differential equations, The application of centre manifolds to amplitude expansions. I. Ordinary differential equations, The application of centre manifolds to amplitude expansions. II. Infinite dimensional problems

Cites Work

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