\({\mathcal X}^*\) plus axiom A does non imply no-cycle

DOI10.1006/JDEQ.1995.1095zbMath0831.58042OpenAlexW2039577268MaRDI QIDQ1895095

Chengzhi Li, Lan Wen

Publication date: 13 February 1996

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1995.1095

zbMATH Keywords

axiom Ahyperbolic singularityhyperbolic periodic orbitno-cycle condition

Mathematics Subject Classification ID

Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Dynamical systems with hyperbolic behavior (37D99)

Related Items (8)

Robust chain transitive vector fields ⋮ Stability properties of divergence-free vector fields ⋮ An entropy dichotomy for singular star flows ⋮ Continuum-wise expansiveness for non-conservative or conservative systems ⋮ Orbital shadowing for 3-flows ⋮ Nonsingular star flows satisfy Axiom A and the no-cycle condition ⋮ Singular hyperbolicity of star flows on surfaces ⋮ Oriented shadowing property and \(\Omega\)-stability for vector fields

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