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General hyperbolicity conditions for set-valued mappings

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Publication:393340
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DOI10.1007/s10958-011-0375-xzbMath1293.37019OpenAlexW2088717764MaRDI QIDQ393340

Janosch Rieger, Sergei Yu. Pilyugin

Publication date: 17 January 2014

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-011-0375-x


Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)


Related Items

Shadowing and the viability kernel algorithm, Multivalued perturbations of a saddle dynamics, Theory of pseudo-orbit shadowing in dynamical systems



Cites Work

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  • Shadowing and inverse shadowing in set-valued dynamical systems. Contractive case
  • Shadowing and inverse shadowing in set-valued dynamical systems. Hyperbolic case
  • Hyperbolic sets for noninvertible maps and relations
  • Shadowing in dynamical systems
  • Approximate and real trajectories for generic dynamical systems
  • A new proof of the stable manifold theorem
  • On the Numerical Approximation of Phase Portraits Near Stationary Points
  • Bi-shadowing and delay equations
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