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Dynamics and indecomposable inverse limit spaces of maps on finite graphs

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Publication:1210360
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DOI10.1016/0166-8641(93)90016-7zbMath0792.58027OpenAlexW2018022111MaRDI QIDQ1210360

Robert P. Roe

Publication date: 11 August 1993

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(93)90016-7


zbMATH Keywords

homoclinic orbitinverse limitperiodic points


Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Local and nonlocal bifurcation theory for dynamical systems (37G99)


Related Items

Indecomposability and the structure of periodic orbits for interval maps. ⋮ Inverse limits and an implicitly defined difference equation from economics ⋮ Monotone decompositions of inverse limit spaces based on finite graphs ⋮ Dense periodicity on graphs



Cites Work

  • Monotone decompositions of inverse limit spaces based on finite graphs
  • Circle maps and inverse limits
  • Dense orbits on the interval
  • Dense Periodicity on the Interval
  • Transitivity and the centre for maps of the circle
  • A method for constructing attractors
  • Chaos, Periodicity, and Snakelike Continua
  • Core decompositions of continua
  • Unnamed Item
  • Unnamed Item
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