Topological structure of integral manifolds and period-doubling bifurcation

DOI10.1007/BF00945415zbMath0614.58034MaRDI QIDQ1819807

Wolfgang Meiske, Klaus R. Schneider

Publication date: 1987

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

center manifoldperiod-doubling bifurcationsintegral manifolds

Mathematics Subject Classification ID

Invariant manifolds for ordinary differential equations (34C45) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Cites Work

• Quantitative universality for a class of nonlinear transformations
• Integral manifolds of perturbed differential systems
• The stable, center-stable, center, center-unstable, unstable manifolds
• Local Coordinates about a Family of Closed Orbits
• Andronov-Hopf-Bifurkation im Falle stetiger Parameterabhängigkeit
• On the Application of Integral Manifolds to Hopf Bifureaction
• Exponentially stable integral manifolds, averaging principle and continuous dependence on a parameter
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