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On the \(\mathcal {K}^*\)-expansiveness of the Rovella attractor

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Publication:1691484
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DOI10.1007/s00574-017-0038-8zbMath1380.37056OpenAlexW2617446982MaRDI QIDQ1691484

Dante Carrasco-Olivera, Bernardo San Martín Rebolledo

Publication date: 16 January 2018

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00574-017-0038-8


zbMATH Keywords

vector fieldattractorexpansiveness


Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Dynamical aspects of attractors and their bifurcations (37G35)


Related Items (2)

Stability properties of singular suspension flows ⋮ The Rovella attractor is asymptotically sectional-hyperbolic



Cites Work

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  • Expansiveness of real flows
  • Structural stability of Lorenz attractors
  • Expansive flows of surfaces
  • The multidimensional Lorenz attractor is a homoclinic class
  • The Rovella attractor is a homoclinic class
  • Expansive one-parameter flows
  • Singular-hyperbolic attractors are chaotic
  • The dynamics of perturbations of the contracting Lorenz attractor
  • Unstable Homeomorphisms
  • Expanding attractors


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