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

DOI10.1016/0167-2789(87)90012-1zbMath0625.58036OpenAlexW2127686104MaRDI QIDQ579715

Theo P. Valkering

Publication date: 1987

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://research.utwente.nl/en/publications/the-shape-of-the-basin-of-attraction-and-transients-via-transformation-to-normal-form(2a1c9d6d-7703-4192-b7db-c664d91f0fed).html

zbMATH Keywords

attracting fixed point with complex multipliersHénon mapping

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Applications of global analysis to the sciences (58Z05) Stability theory for smooth dynamical systems (37C75) Dynamical systems with hyperbolic behavior (37D99)

Related Items (3)

Markov shifts in the Hénon family ⋮ Bounds for bounded motion around a perturbed fixed point ⋮ Decoupling of dissipative flows by interval normal forms in the Poincaré domain

Cites Work

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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• A two-dimensional mapping with a strange attractor
• Fractal basin boundaries
• Analytical description of the basin and the transients of a point attractor of the Hénon mapping
• An exploration of the Hénon quadratic map
• Bounds for bounded motion around a perturbed fixed point
• Bifurcations of one- and two-dimensional maps

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