Bounds for bounded motion around a perturbed fixed point

DOI10.1007/BF00945120zbMath0686.58031OpenAlexW1994587692MaRDI QIDQ1262597

Theo P. Valkering, Ruud van Damme

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1007/bf00945120

zbMATH Keywords

perturbationLyapunov functionsattractorbasin

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Stability theory for smooth dynamical systems (37C75)

Related Items (1)

The shape of the basin of attraction and transients via transformation to normal form

Cites Work

• Unnamed Item
• The shape of the basin of attraction and transients via transformation to normal form
• Analytical description of the basin and the transients of a point attractor of the Hénon mapping
• Transient periodic behaviour related to a saddle-node bifurcation

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