Stable and unstable manifolds of periodic points of Kupka–Smale systems

DOI10.1016/S0362-546X(97)00673-1zbMath1120.37305OpenAlexW2067471322MaRDI QIDQ4264262

Yoshio Togawa, Ken Sawada, Nobuya Watanabe

Publication date: 25 April 2000

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(97)00673-1

zbMATH Keywords

nonwandering setinvariant circleKupka-Smale diffeomorphismattracting and repelling setsMorse-Smale diffeomorphism with rational rotation number

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Morse-Smale systems (37D15)

Cites Work

• The ergodic theory of axiom A flows
• On gradient dynamical systems

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