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Iterated function systems -- a topological approach. Attractors

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Publication:2067320
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DOI10.1007/978-981-16-0174-3_4zbMath1487.37049OpenAlexW3204462638MaRDI QIDQ2067320

Krzysztof Leśniak

Publication date: 18 January 2022

Full work available at URL: https://doi.org/10.1007/978-981-16-0174-3_4


zbMATH Keywords

iterated function systemstrict attractorfast basinpointwise basin


Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Symbolic dynamics (37B10) Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35) Dynamical systems involving maps of the interval (37E05)




Cites Work

  • Unnamed Item
  • Homoclinic attractors in discontinuos iterated function systems
  • Fast basins and branched fractal manifolds of attractors of iterated function systems
  • Chaos game for IFSs on topological spaces
  • On the continuity of the Hutchinson operator
  • Developments in fractal geometry
  • Weakly contractive iterated function systems and beyond: a manual
  • BASIC TOPOLOGICAL STRUCTURE OF FAST BASINS
  • The Chaos Game on a General Iterated Function System from a Topological Point of View
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