Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

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Pseudo-orbit tracing property, mixing and chaos.

2011/03/B/ST1/00790

Keywords:

shadowing factor chaos mixing entropy pseudo-orbit

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 :

Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie, Wydział Matematyki Stosowanej

woj. małopolskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr hab. Piotr Oprocha 

Number of co-investigators in the project: 1

Call: OPUS 2 - announced on 2011-09-15

Amount awarded: 73 944 PLN

Project start date (Y-m-d): 2012-08-07

Project end date (Y-m-d): 2014-08-06

Project duration:: 24 months (the same as in the proposal)

Project status: Project settled

Information in the final report

  • Publication in academic press/journals (8)
  1. On various definitions of shadowing with average error in tracing
    Authors:
    Xinxing Wu, Piotr Oprocha, Guanrong Chen
    Academic press:
    Nonlinearity (rok: 2016, tom: 29, strony: 1942–1972), Wydawca: IOP
    Status:
    Published
    DOI:
    10.1088/0951-7715/29/7/1942 - link to the publication
  2. Shadowing Property,Weak Mixing and Regular Recurrence
    Authors:
    Jian Li, Piotr Oprocha
    Academic press:
    Journal of Dynamics and Differential Equations (rok: 2013, tom: 25, strony: 1233–1249), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10884-013-9338-x - link to the publication
  3. Shadowing, entropy and minimal subsystems
    Authors:
    T. K. Subrahmonian Moothathu, Piotr Oprocha
    Academic press:
    MONATSHEFTE FUR MATHEMATIK (rok: 2013, tom: 172, strony: 357-378), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00605-013-0504-3 - link to the publication
  4. Transitivity, two-sided limit shadowing property and dense omega-chaos
    Authors:
    Piotr Oprocha
    Academic press:
    JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY (rok: 2014, tom: 51, strony: 837-851), Wydawca: KOREAN MATHEMATICAL SOC
    Status:
    Published
    DOI:
    10.4134/JKMS.2014.51.4.837 - link to the publication
  5. On almost specification and average shadowing properties
    Authors:
    M. Kulczycki, D. Kwietniak, P. Oprocha
    Academic press:
    Fundamenta Mathematicae (rok: 2014, tom: 224, strony: 241-278), Wydawca: POLISH ACAD SCIENCES INST MATHEMATICS
    Status:
    Published
    DOI:
    10.4064/fm224-3-4 - link to the publication
  6. On partial shadowing of complete pseudo-orbits
    Authors:
    Piotr Oprocha, Dawoud Ahmadi Dastjerdi, Maryam Hosseini
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2013, tom: 404, strony: 47-56), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2013.02.068 - link to the publication
  7. Shadowing and expansivity in subspaces
    Authors:
    Andrew D. Barwell, Chris Good, Piotr Oprocha
    Academic press:
    Fundamenta Mathematicae (rok: 2012, tom: 219, strony: 223-243), Wydawca: POLISH ACAD SCIENCES INST MATHEMATICS
    Status:
    Published
    DOI:
    10.4064/fm219-3-2 - link to the publication
  8. S-limit shadowing is C0-dense
    Authors:
    Marcin Mazur, Piotr Oprocha
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2013, tom: 408, strony: 465–475), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2013.06.004 - link to the publication

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