Pseudo-orbit tracing property, mixing and chaos.
2011/03/B/ST1/00790
Keywords
Descriptors
- ST1_10: Równania różniczkowe zwyczajne i układy dynamiczne
- ST1_6: Topologia
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
Voivodeship: małopolskie
Principal investigator (from the host institution)
Number of co-investigators in the project: 1
Call
OPUS 2 – announced on 2011-09-15
- Amount awarded
- 73 944 PLN
- Project start date
- 2012-08-07
- Project end date
- 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)
-
Shadowing and expansivity in subspaces
- Authors:
- Andrew D. Barwell, Chris Good, Piotr Oprocha
- Academic press:
- Fundamenta Mathematicae (year: 2012, volume: 219, pages: 223-243), Publisher: POLISH ACAD SCIENCES INST MATHEMATICS
- Status:
- Published
- DOI:
- 10.4064/fm219-3-2 – link to the publication
-
On almost specification and average shadowing properties
- Authors:
- M. Kulczycki, D. Kwietniak, P. Oprocha
- Academic press:
- Fundamenta Mathematicae (year: 2014, volume: 224, pages: 241-278), Publisher: POLISH ACAD SCIENCES INST MATHEMATICS
- Status:
- Published
- DOI:
- 10.4064/fm224-3-4 – link to the publication
-
Shadowing, entropy and minimal subsystems
- Authors:
- T. K. Subrahmonian Moothathu, Piotr Oprocha
- Academic press:
- MONATSHEFTE FUR MATHEMATIK (year: 2013, volume: 172, pages: 357-378), Publisher: Springer
- Status:
- Published
- DOI:
- 10.1007/s00605-013-0504-3 – link to the publication
-
On partial shadowing of complete pseudo-orbits
- Authors:
- Piotr Oprocha, Dawoud Ahmadi Dastjerdi, Maryam Hosseini
- Academic press:
- Journal of Mathematical Analysis and Applications (year: 2013, volume: 404, pages: 47-56), Publisher: Springer
- Status:
- Published
- DOI:
- 10.1016/j.jmaa.2013.02.068 – link to the publication
-
On various definitions of shadowing with average error in tracing
- Authors:
- Xinxing Wu, Piotr Oprocha, Guanrong Chen
- Academic press:
- Nonlinearity (year: 2016, volume: 29, pages: 1942–1972), Publisher: IOP
- Status:
- Published
- DOI:
- 10.1088/0951-7715/29/7/1942 – link to the publication
-
Transitivity, two-sided limit shadowing property and dense omega-chaos
- Authors:
- Piotr Oprocha
- Academic press:
- JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY (year: 2014, volume: 51, pages: 837-851), Publisher: KOREAN MATHEMATICAL SOC
- Status:
- Published
- DOI:
- 10.4134/JKMS.2014.51.4.837 – link to the publication
-
Shadowing Property,Weak Mixing and Regular Recurrence
- Authors:
- Jian Li, Piotr Oprocha
- Academic press:
- Journal of Dynamics and Differential Equations (year: 2013, volume: 25, pages: 1233–1249), Publisher: Springer
- Status:
- Published
- DOI:
- 10.1007/s10884-013-9338-x – link to the publication
-
S-limit shadowing is C0-dense
- Authors:
- Marcin Mazur, Piotr Oprocha
- Academic press:
- Journal of Mathematical Analysis and Applications (year: 2013, volume: 408, pages: 465–475), Publisher: Elsevier
- Status:
- Published
- DOI:
- 10.1016/j.jmaa.2013.06.004 – link to the publication