Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

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Topological and Dynamical Properties in Parameterized Families of Non-Hyperbolic Attractors: the inverse limit approach

2019/34/E/ST1/00237

Keywords:

inverse limit Henon attractors Arnold standard family

Descriptors:

  • ST1_10: Ordinary differential equations and dynamical systems
  • ST1_6: Topology

Panel:

ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution :

Uniwersytet Jagielloński, Wydział Matematyki i Informatyki

woj.

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr hab. Jan Paweł Boroński 

Number of co-investigators in the project: 6

Call: SONATA BIS 9 - announced on 2019-06-17

Amount awarded: 2 093 000 PLN

Project start date (Y-m-d): 2020-04-17

Project end date (Y-m-d): 2026-04-16

Project duration:: 72 months (the same as in the proposal)

Project status: Pending project

Project description

Download the project description in a pdf file

Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Information in the final report

  • Publication in academic press/journals (41)
  1. Strange attractors for the family of orientation preserving Lozi maps
    Authors:
    P. Kucharski
    Academic press:
    Chaos (rok: 2023, tom: 33, 113121, strony: 45670), Wydawca: AIP Publishing
    Status:
    Published
    DOI:
    10.1063/5.0139893 - link to the publication
  2. On conjugacy between natural extensions of 1-dimensional maps
    Authors:
    J. Boroński, P. Minc, S. Stimac
    Academic press:
    Ergodic Theory and Dynamical Systems (rok: 2022, tom: 43, strony: 2915–2937), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/etds.2022.62 - link to the publication
  3. Beyond 0 and Infinity: a solution to the Barge Entropy Conjecture
    Authors:
    J. Boroński, J. Cinc, P. Oprocha
    Academic press:
    Advances in Mathematics , Wydawca: Elsevier
    Status:
    Submitted
  4. On Cartwright-Littlewood fixed point theorem
    Authors:
    Przemysław Kucharski
    Academic press:
    Indagationes Mathematicae (rok: 2022, tom: 33, strony: 861–868), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.indag.2022.02.009 - link to the publication
  5. On the structure of α-limit sets of backward trajectories for graph maps
    Authors:
    Magdalena Foryś-Krawiec, Jana Hantakova, Piotr Oprocha
    Academic press:
    Discrete and Continuous Dynamical Systems (rok: 2022, tom: 42, strony: 1435–1463), Wydawca: American Institute of Mathematical Sciences
    Status:
    Published
    DOI:
    10.3934/dcds.2021159 - link to the publication
  6. Strange attractors for the family of orientation preserving Lozi maps
    Authors:
    P. Kucharski
    Academic press:
    Chaos (rok: 2022, tom: submitted, strony: 45674), Wydawca: AIP Publishing
    Status:
    Submitted
  7. Critical points in higher dimensions, I: Reverse order of periodic orbit creations in the Lozi family
    Authors:
    Dyi-Shing Ou
    Academic press:
    Communications in Mathematical Physics , Wydawca: Springer
    Status:
    Submitted
  8. Densely branching trees as models for Henon-like and Lozi-like attractors
    Authors:
    Jan Boroński, Sonja Stimac
    Academic press:
    Advances in Mathematics
    Status:
    Submitted
  9. A fixed point theorem for commuting open maps
    Authors:
    Magdalena Foryś-Krawiec
    Academic press:
    Journal of Difference Equations and Applications
    Status:
    Submitted
  10. Linked orbits of homeomorphisms of the plane and Gambaudo-Kolev Theorem
    Authors:
    Jan Boroński
    Academic press:
    Mathematical Proceedings of the Cambridge Philosophical Society , Wydawca: Cambridge University Press
    Status:
    Submitted
  11. A Note on Homeo-Product-Minimality
    Authors:
    J.P. Boroński, M. Foryś-Krawiec, P. Oprocha
    Academic press:
    Proceedings of the American Mathematical Society (rok: 2022, tom: submitted, strony: 45664), Wydawca: AMS
    Status:
    Submitted
  12. Critical points in higher dimensions, I: Reverse order of periodic orbit creations in the Lozi family
    Authors:
    Dyi-Shing Ou
    Academic press:
    Communications in Mathematical Physics , Wydawca: Springer
    Status:
    Submitted
  13. On Cartwright-Littlewood fixed point theorem
    Authors:
    Przemysław Kucharski
    Academic press:
    Indagationes Mathematicae (rok: 2022, ), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.indag.2022.02.009 - link to the publication
  14. A fixed point theorem for commuting open maps
    Authors:
    Magdalena Foryś-Krawiec
    Academic press:
    Journal of Difference Equations and Applications
    Status:
    Submitted
  15. A Note on Homeo-Product-Minimality
    Authors:
    J.P. Boroński, M. Foryś-Krawiec, P. Oprocha
    Academic press:
    Qualitative Theory of Dynamical Systems (rok: 2022, tom: 1,05555555555556, strony: 45670), Wydawca: Springer Nature
    Status:
    Published
    DOI:
    10.1007/s12346-024-00992-3 - link to the publication
  16. Densely branching trees as models for Henon-like and Lozi-like attractors
    Authors:
    Jan Boroński, Sonja Stimac
    Academic press:
    Advances in Mathematics (rok: 2023, tom: 429, strony: 45684), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aim.2023.109191 - link to the publication
  17. Strange attractors for the family of orientation preserving Lozi maps
    Authors:
    P. Kucharski
    Academic press:
    Chaos (rok: 2023, tom: 33, 113121, strony: 45670), Wydawca: AIP Publishing
    Status:
    Published
    DOI:
    10.1063/5.0139893 - link to the publication
  18. Lozi maps with periodic points of all periods n>13
    Authors:
    J.P. Boroński, P. Kucharski, D.-S. Ou
    Academic press:
    Communications in Nonlinear Science and Numerical Simulation (rok: 2022, tom: submitted, strony: 45663), Wydawca: Elsevier
    Status:
    Submitted
  19. On the structure of α-limit sets of backward trajectories for graph maps
    Authors:
    Magdalena Foryś-Krawiec, Jana Hantakova, Piotr Oprocha
    Academic press:
    Discrete and Continuous Dynamical Systems (rok: 2022, tom: 42, strony: 1435–1463), Wydawca: American Institute of Mathematical Sciences
    Status:
    Published
    DOI:
    10.3934/dcds.2021159 - link to the publication
  20. Beyond 0 and Infinity: a solution to the Barge Entropy Conjecture
    Authors:
    J. Boroński, J. Cinc, P. Oprocha
    Academic press:
    Advances in Mathematics , Wydawca: Elsevier
    Status:
    Submitted
  21. Dendrites and measures with discrete spectrum
    Authors:
    Magdalena Foryś-Krawiec, Jana Hantakova, Jiri Kupka, Piotr Oprocha and Samuel Roth
    Academic press:
    Ergodic Theory and Dynamical Systems , Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/etds.2021.157 - link to the publication
  22. On conjugacy between natural extensions of 1-dimensional maps
    Authors:
    J. Boroński, P. Minc, S. Stimac
    Academic press:
    Ergodic Theory and Dynamical Systems (rok: 2022, tom: online first, strony: 45680), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/etds.2022.62 - link to the publication
  23. Lozi maps with periodic points of all periods n>13
    Authors:
    J.P. Boroński, P. Kucharski, D.-S. Ou
    Academic press:
    Communications in Nonlinear Science and Numerical Simulation (rok: 2022, tom: submitted, strony: 45663), Wydawca: Elsevier
    Status:
    Submitted
  24. Beyond 0 and Infinity: a solution to the Barge Entropy Conjecture
    Authors:
    J. Boroński, J. Cinc, P. Oprocha
    Academic press:
    Advances in Mathematics , Wydawca: Elsevier
    Status:
    Submitted
  25. On Cartwright-Littlewood fixed point theorem
    Authors:
    Przemysław Kucharski
    Academic press:
    Indagationes Mathematicae (rok: 2022, tom: 33, strony: 861–868), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.indag.2022.02.009 - link to the publication
  26. On conjugacy between natural extensions of 1-dimensional maps
    Authors:
    J. Boroński, P. Minc, S. Stimac
    Academic press:
    Ergodic Theory and Dynamical Systems (rok: 2022, tom: 43, strony: 2915–2937), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/etds.2022.62 - link to the publication
  27. Densely branching trees as models for Henon-like and Lozi-like attractors
    Authors:
    Jan Boroński, Sonja Stimac
    Academic press:
    Advances in Mathematics (rok: 2023, tom: 429, strony: 45684), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aim.2023.109191 - link to the publication
  28. A Note on Homeo-Product-Minimality
    Authors:
    J.P. Boroński, M. Foryś-Krawiec, P. Oprocha
    Academic press:
    Qualitative Theory of Dynamical Systems (rok: 2022, tom: 1,05555555555556, strony: 45670), Wydawca: Springer Nature
    Status:
    Published
    DOI:
    10.1007/s12346-024-00992-3 - link to the publication
  29. Densely branching trees as models for Henon-like and Lozi-like attractors
    Authors:
    Jan Boroński, Sonja Stimac
    Academic press:
    Advances in Mathematics
    Status:
    Submitted
  30. Dendrites and measures with discrete spectrum
    Authors:
    Magdalena Foryś-Krawiec, Jana Hantakova, Jiri Kupka, Piotr Oprocha and Samuel Roth
    Academic press:
    Ergodic Theory and Dynamical Systems , Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/etds.2021.157 - link to the publication
  31. On conjugacy between natural extensions of 1-dimensional maps
    Authors:
    J. Boroński, P. Minc, S. Stimac
    Academic press:
    Ergodic Theory and Dynamical Systems , Wydawca: Cambridge University Press
    Status:
    Submitted
  32. On the structure of α-limit sets of backward trajectories for graph maps
    Authors:
    Magdalena Foryś-Krawiec, Jana Hantakova, Piotr Oprocha
    Academic press:
    Discrete and Continuous Dynamical Systems (rok: 2022, tom: 42, strony: 1435–1463), Wydawca: American Institute of Mathematical Sciences
    Status:
    Published
    DOI:
    10.3934/dcds.2021159 - link to the publication
  33. Dendrites and measures with discrete spectrum
    Authors:
    Magdalena Foryś-Krawiec, Jana Hantakova, Jiri Kupka, Piotr Oprocha and Samuel Roth
    Academic press:
    Ergodic Theory and Dynamical Systems (rok: 2023, tom: 43, strony: 545–555), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/etds.2021.157 - link to the publication
  34. Linked orbits of homeomorphisms of the plane and Gambaudo-Kolev Theorem
    Authors:
    Jan Boroński
    Academic press:
    Mathematical Proceedings of the Cambridge Philosophical Society (rok: 2024, tom: 177, strony: 103-108), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/S030500412400015X - link to the publication
  35. Critical points in higher dimensions, I: Reverse order of periodic orbit creations in the Lozi family
    Authors:
    Dyi-Shing Ou
    Academic press:
    Communications in Mathematical Physics , Wydawca: Springer
    Status:
    Submitted
  36. Linked orbits of homeomorphisms of the plane and Gambaudo-Kolev Theorem
    Authors:
    Jan Boroński
    Academic press:
    Mathematical Proceedings of the Cambridge Philosophical Society , Wydawca: Cambridge University Press
    Status:
    Submitted
  37. Dendrites and measures with discrete spectrum
    Authors:
    Magdalena Foryś-Krawiec, Jana Hantakova, Jiri Kupka, Piotr Oprocha and Samuel Roth
    Academic press:
    Ergodic Theory and Dynamical Systems (rok: 2023, tom: 43, strony: 545–555), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/etds.2021.157 - link to the publication
  38. On Cartwright-Littlewood fixed point theorem
    Authors:
    Przemysław Kucharski
    Academic press:
    Indagationes Mathematicae (rok: 2022, ), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.indag.2022.02.009 - link to the publication
  39. A fixed point theorem for commuting open maps
    Authors:
    Magdalena Foryś-Krawiec
    Academic press:
    Journal of Difference Equations and Applications
    Status:
    Submitted
  40. Linked orbits of homeomorphisms of the plane and Gambaudo-Kolev Theorem
    Authors:
    Jan Boroński
    Academic press:
    Mathematical Proceedings of the Cambridge Philosophical Society , Wydawca: Cambridge University Press
    Status:
    Submitted
  41. On the structure of α-limit sets of backward trajectories for graph maps
    Authors:
    Magdalena Foryś-Krawiec, Jana Hantakova, Piotr Oprocha
    Academic press:
    Discrete and Continuous Dynamical Systems (rok: 2022, tom: 42, strony: 1435–1463), Wydawca: American Institute of Mathematical Sciences
    Status:
    Published
    DOI:
    10.3934/dcds.2021159 - link to the publication

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