Analytic expressions of unstable manifolds

DOI10.3792/PJAA.56.239zbMath0457.58014OpenAlexW1990804621MaRDI QIDQ1151183

Shigehiro Ushiki

Publication date: 1980

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.56.239

zbMATH Keywords

unstable set of hyperbolic fixed points of analytic mappings of the Euclidean n-space into itself

Mathematics Subject Classification ID

Dynamical systems with hyperbolic behavior (37D99)

Related Items (6)

Numerical approximation of \((n-1)\)-dimensional stable manifolds in large systems such as the power system ⋮ Homotopy of dynamical systems on manifolds and Morse theory on covering space ⋮ Lower bounds for equilibria of covering flows on manifolds ⋮ Morse-Smale theory for flows on covering spaces of compact manifolds ⋮ Chaos in numerical analysis of ordinary differential equations ⋮ Central difference scheme and chaos

Cites Work

• Unnamed Item
• Analytical Conditions for the Appearance of Homoclinic and Heteroclinic Points of a 2-dimensional Mapping: The Case of the Henon Mapping
• Local Contractions and a Theorem of Poincare

This page was built for publication: Analytic expressions of unstable manifolds