On the Topology of the Set of Completely Unstable Flows

DOI10.2307/1998082zbMath0461.58007OpenAlexW4236352172MaRDI QIDQ3911112

Zbigniew H. Nitecki

Publication date: 1979

Full work available at URL: https://doi.org/10.2307/1998082

zbMATH Keywords

Whitney topologynonwandering setplugomega-explosionflows with nonvanishing vector fieldset of completely unstable flows

Mathematics Subject Classification ID

Perturbations of ordinary differential equations (34D10) Dynamics induced by flows and semiflows (37C10) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Ordinary differential equations and systems on manifolds (34C40) Stability theory for smooth dynamical systems (37C75)

Related Items (10)

Minimal Periodic Orbits and Topological Entropy of Interval Maps ⋮ Topological Conjugacy and Transitivity for a Class of Piecewise Monotone Maps of the Interval ⋮ Interval maps quasi-symmetrically conjugate to a piecewise affine map ⋮ On the periodic points of functions on a manifold ⋮ The Chain Recurrent Set for Maps of the Interval ⋮ Maps of the Interval with Closed Periodic Set ⋮ Maximal Entropy Odd Orbit Types ⋮ Measures of Chaos and a Spectral Decomposition of Dynamical Systems on the Interval ⋮ Chaotic Maps with Rational Zeta Function ⋮ Chaos, Periodicity, and Snakelike Continua

Cites Work

• Unnamed Item
• On Morse-Smale approximations - a counterexample
• On the minimal sets of non-singular vector fields
• On imbedding differentiable manifolds in Euclidean space
• Presentations of 3-Manifolds Arising from Vector Fields
• Vector Fields with No Nonwandering Points
• Explosions in Completely Unstable Flows. I Preventing Explosions
• Explosions in Completely Unstable Flows. II Some Examples
• Differential Topology
• Plugging Flows

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