Contraction principle for the method of sequential approximations and invariant manifolds

DOI10.1007/BF00969942zbMath0459.47058OpenAlexW2024532184MaRDI QIDQ1152100

N. M. Isakov, Peter P. Zabreĭko

Publication date: 1980

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00969942

zbMATH Keywords

invariant manifoldssuccessive approximationneutral manifold

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)

Cites Work

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• The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
• The stable, center-stable, center, center-unstable, unstable manifolds
• Local Contractions and a Theorem of Poincare

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