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Lyapunov unstable Milnor attractors

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Publication:339973
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DOI10.1134/S1064562416040165zbMath1367.37015MaRDI QIDQ339973

I. S. Shilin

Publication date: 11 November 2016

Published in: Doklady Mathematics (Search for Journal in Brave)


zbMATH Keywords

homoclinic tangencyMilnor attractor


Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15)


Related Items (3)

Milnor attractors of skew products with the fiber a circle ⋮ On the attractors of step skew products over the Bernoulli shift ⋮ Attractors and skew products




Cites Work

  • On the concept of attractor
  • The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms
  • High dimension diffeomorphisms displaying infinitely many periodic attractors
  • A \(C^1\)-generic dichotomy for diffeomorphisms: weak forms of hyperbolicity or infinitely many sinks of sources
  • Diffeomorphisms with infinitely many sinks
  • Basins of attraction near homoclinic tangencies
  • MINIMAL AND STRANGE ATTRACTORS




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