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Author ID: oprocha.piotr Recent zbMATH articles by "Oprocha, Piotr"
Published as: Oprocha, Piotr; Oprocha, P.
External Links: MGP · ORCID
Documents Indexed: 118 Publications since 2004
1 Contribution as Editor
Reviewing Activity: 29 Reviews
Co-Authors: 76 Co-Authors with 98 Joint Publications
2,070 Co-Co-Authors
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Serials

13 Discrete and Continuous Dynamical Systems
9 Nonlinearity
9 Ergodic Theory and Dynamical Systems
5 Journal of Mathematical Analysis and Applications
5 Proceedings of the American Mathematical Society
4 Fundamenta Mathematicae
4 Topology and its Applications
3 Israel Journal of Mathematics
3 Advances in Mathematics
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Journal of Dynamics and Differential Equations
3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
3 Journal of Difference Equations and Applications
3 Dynamical Systems
2 Chaos, Solitons and Fractals
2 Bulletin of the London Mathematical Society
2 Journal of Differential Equations
2 Mathematische Zeitschrift
2 Monatshefte für Mathematik
2 Topological Methods in Nonlinear Analysis
2 Opuscula Mathematica
2 Fundamenta Informaticae
2 Discrete and Continuous Dynamical Systems. Series B
1 Studia Mathematica
1 Ukrainian Mathematical Journal
1 Annales de l’Institut Fourier
1 Bulletin de la Société Mathématique de France
1 Colloquium Mathematicum
1 Demonstratio Mathematica
1 Journal of Computational and Applied Mathematics
1 Journal of the Korean Mathematical Society
1 Pacific Journal of Mathematics
1 Publicationes Mathematicae Debrecen
1 Transactions of the American Mathematical Society
1 Physica D
1 Applied Mathematics Letters
1 The Journal of Geometric Analysis
1 Journal of Physics A: Mathematical and General
1 Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
1 Analele Științifice ale Universității “Ovidius” Constanța. Seria: Matematică
1 Mathematical Problems in Engineering
1 Theory of Computing Systems
1 Chaos
1 Discrete Dynamics in Nature and Society
1 Annales Henri Poincaré
1 Qualitative Theory of Dynamical Systems
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Science China. Mathematics

Publications by Year

Citations contained in zbMATH Open

99 Publications have been cited 1,026 times in 564 Documents Cited by Year
On various definitions of shadowing with average error in tracing. Zbl 1364.37023
Wu, Xinxing; Oprocha, Piotr; Chen, Guanrong
53
2016
Topological entropy and chaos for maps induced on hyperspaces. Zbl 1152.37306
Kwietniak, Dominik; Oprocha, Piotr
52
2007
Distributional chaos revisited. Zbl 1179.37017
Oprocha, Piotr
47
2009
On almost specification and average shadowing properties. Zbl 1352.37068
Kulczycki, Marcin; Kwietniak, Dominik; Oprocha, Piotr
42
2014
Distributional chaos for backward shifts. Zbl 1157.47008
Martínez-Giménez, Félix; Oprocha, Piotr; Peris, Alfredo
39
2009
Chaos on hyperspaces. Zbl 1175.37024
García Guirao, Juan Luis; Kwietniak, Dominik; Lampart, Marek; Oprocha, Piotr; Peris, Alfredo
36
2009
A quantum harmonic oscillator and strong chaos. Zbl 1107.81026
Oprocha, Piotr
28
2006
On averaged tracing of periodic average pseudo orbits. Zbl 1369.37031
Oprocha, Piotr; Wu, Xinxing
26
2017
A panorama of specification-like properties and their consequences. Zbl 1376.37024
Kwietniak, Dominik; Łącka, Martha; Oprocha, Piotr
26
2016
Furstenberg families, sensitivity and the space of probability measures. Zbl 1420.54059
Li, Jie; Oprocha, Piotr; Wu, Xinxing
25
2017
A note on the average shadowing property for expansive maps. Zbl 1237.37018
Kwietniak, Dominik; Oprocha, Piotr
25
2012
Characterizations of \(\omega\)-limit sets in topologically hyperbolic systems. Zbl 1266.37013
Barwell, Andrew D.; Good, Chris; Oprocha, Piotr; Raines, Brian E.
24
2013
Weak mixing and chaos in nonautonomous discrete systems. Zbl 1246.39004
Balibrea, Francisco; Oprocha, Piotr
24
2012
Shift spaces and distributional chaos. Zbl 1140.37303
Oprocha, Piotr; Wilczyński, Paweł
24
2007
Distributional chaos for operators with full scrambled sets. Zbl 1279.47017
Martínez-Giménez, Félix; Oprocha, Piotr; Peris, Alfredo
23
2013
Specification property and distributional chaos almost everywhere. Zbl 1159.37004
Oprocha, Piotr; Štefánková, Marta
18
2008
On local aspects of topological weak mixing in dimension one and beyond. Zbl 1217.37012
Oprocha, Piotr; Zhang, Guohua
17
2011
Shadowing and expansivity in subspaces. Zbl 1350.37028
Barwell, Andrew D.; Good, Chris; Oprocha, Piotr
17
2012
On weak mixing, minimality and weak disjointness of all iterates. Zbl 1283.37026
Kwietniak, Dominik; Oprocha, Piotr
17
2012
Relations between distributional and Devaney chaos. Zbl 1146.37301
Oprocha, Piotr
17
2006
Invariant scrambled sets and distributional chaos. Zbl 1171.37022
Oprocha, Piotr
15
2009
Shadowing, thick sets and the Ramsey property. Zbl 1367.37028
Oprocha, Piotr
14
2016
Shadowing is generic – a continuous map case. Zbl 1351.37090
Kościelniak, Piotr; Mazur, Marcin; Oprocha, Piotr; Pilarczyk, Paweł
13
2014
Shadowing, entropy and minimal subsystems. Zbl 1285.37002
Moothathu, T. K. Subrahmonian; Oprocha, Piotr
13
2013
When are all closed subsets recurrent? Zbl 1380.37023
Li, Jie; Oprocha, Piotr; Ye, Xiangdong; Zhang, Ruifeng
12
2017
On entropy of dynamical systems with almost specification. Zbl 1365.37011
Kwietniak, Dominik; Oprocha, Piotr; Rams, Michał
12
2016
Shadowing property, weak mixing and regular recurrence. Zbl 1294.37006
Li, Jian; Oprocha, Piotr
12
2013
Specification properties and dense distributional chaos. Zbl 1120.37009
Oprocha, Piotr
12
2007
Distributional chaos via semiconjugacy. Zbl 1131.37017
Oprocha, Piotr; Wilczyński, Paweł
12
2007
Dynamics of spacing shifts. Zbl 1283.37015
Banks, John; Nguyen, Thi T. D.; Oprocha, Piotr; Stanley, Brett; Trotta, Belinda
11
2013
Shadowing in multi-dimensional shift spaces. Zbl 1142.37016
Oprocha, Piotr
11
2008
Weak mixing and product recurrence. Zbl 1203.37026
Oprocha, Piotr
10
2010
Shift spaces, \(\omega \)-chaos and specification property. Zbl 1202.37012
Lampart, M.; Oprocha, P.
10
2009
On \(n\)-scrambled tuples and distributional chaos in a sequence. Zbl 1315.54029
Li, Jian; Oprocha, Piotr
10
2013
Coherent lists and chaotic sets. Zbl 1263.37018
Oprocha, Piotr
10
2011
Chain recurrence in multidimensional time discrete dynamical systems. Zbl 1163.37005
Oprocha, Piotr
10
2008
On the irregular points for systems with the shadowing property. Zbl 1397.37009
Dong, Yiwei; Oprocha, Piotr; Tian, Xueting
10
2018
On partial shadowing of complete pseudo-orbits. Zbl 1308.37011
Oprocha, Piotr; Ahmadi Dastjerdi, Dawoud; Hosseini, Maryam
9
2014
Exploring the asymptotic average shadowing property. Zbl 1205.54034
Kulczycki, Marcin; Oprocha, Piotr
9
2010
Minimal systems and distributionally scrambled sets. Zbl 1278.37013
Oprocha, Piotr
9
2012
Shadowing, asymptotic shadowing and s-limit shadowing. Zbl 1417.37106
Good, Chris; Oprocha, Piotr; Puljiz, Mate
9
2019
Topological aspects of dynamics of pairs, tuples and sets. Zbl 1305.54002
Oprocha, Piotr; Zhang, Guohua
9
2014
Transitivity, two-sided limit shadowing property and dense \(\omega\)-chaos. Zbl 1305.37008
Oprocha, Piotr
9
2014
s-limit shadowing is \(\mathcal C^0\)-dense. Zbl 1317.37032
Mazur, Marcin; Oprocha, Piotr
8
2013
Invariant scrambled sets, uniform rigidity and weak mixing. Zbl 1359.37021
Foryś, Magdalena; Huang, Wen; Li, Jian; Oprocha, Piotr
8
2016
A note on transitivity, sensitivity and chaos for graph maps. Zbl 1228.37012
Harańczyk, Grzegorz; Kwietniak, Dominik; Oprocha, Piotr
8
2011
Properties of invariant measures in dynamical systems with the shadowing property. Zbl 1397.37093
Li, Jian; Oprocha, Piotr
8
2018
On indecomposability in chaotic attractors. Zbl 1320.54021
Boroński, Jan P.; Oprocha, Piotr
7
2015
Edrei’s conjecture revisited. Zbl 1405.37016
Boroński, Jan P.; Kupka, Jiří; Oprocha, Piotr
6
2018
Rotational chaos and strange attractors on the 2-torus. Zbl 1348.37055
Boroński, Jan P.; Oprocha, Piotr
6
2015
On weak product recurrence and synchronization of return times. Zbl 1286.37015
Oprocha, Piotr; Zhang, Guohua
6
2013
Families, filters and chaos. Zbl 1293.37005
Oprocha, Piotr
6
2010
On local aspects of topological weak mixing, sequence entropy and chaos. Zbl 1322.37003
Oprocha, Piotr; Zhang, Guohua
6
2014
Chaos in nonautonomous dynamical systems. Zbl 1199.37021
Oprocha, Piotr; Wilczyński, Pawel
6
2009
On dynamics of graph maps with zero topological entropy. Zbl 1380.37088
Li, Jian; Oprocha, Piotr; Yang, Yini; Zeng, Tiaoying
5
2017
Properties of dynamical systems with the asymptotic average shadowing property. Zbl 1286.37007
Kulczycki, Marcin; Oprocha, Piotr
5
2011
Syndetic proximality and scrambled sets. Zbl 1327.37006
Moothathu, T. K. Subrahmonia; Oprocha, Piotr
5
2013
On negative limit sets for one-dimensional dynamics. Zbl 1242.37028
Balibrea, Francisco; Dvorníková, Gabriela; Lampart, Marek; Oprocha, Piotr
5
2012
Ultrafilters and Ramsey-type shadowing phenomena in topological dynamics. Zbl 1416.37011
Brian, Will; Oprocha, Piotr
5
2018
Topological structure and entropy of mixing graph maps. Zbl 1351.37174
Harańczyk, Grzegorz; Kwietniak, Dominik; Oprocha, Piotr
5
2014
Multi-recurrence and van der Waerden systems. Zbl 1365.37015
Kwietniak, Dominik; Li, Jian; Oprocha, Piotr; Ye, XiangDong
4
2017
Generic points for dynamical systems with average shadowing. Zbl 1377.37037
Kwietniak, Dominik; Łącka, Martha; Oprocha, Piotr
4
2017
Factor maps and invariant distributional chaos. Zbl 1345.37006
Foryś, Magdalena; Oprocha, Piotr; Wilczyński, Paweł
4
2014
On entropy and Turing machine with moving tape dynamical model. Zbl 1190.37012
Oprocha, Piotr
4
2006
Dimensional entropy over sets and fibres. Zbl 1223.37023
Oprocha, Piotr; Zhang, Guohua
4
2011
On sets with recurrence properties, their topological structure and entropy. Zbl 1244.37013
Oprocha, Piotr; Zhang, Guohua
4
2012
Topological entropy for local processes. Zbl 1209.37015
Oprocha, Piotr; Wilczyński, Paweł
4
2010
Coupled-expanding maps and matrix shifts. Zbl 1270.37015
Kulczycki, Marcin; Oprocha, Piotr
4
2013
A compact minimal space \(Y\) such that its square \(Y\times Y\) is not minimal. Zbl 1394.37014
Boroński, J. P.; Clark, Alex; Oprocha, P.
4
2018
Subshifts, rotations and the specification property. Zbl 1362.37027
Mazur, Marcin; Oprocha, Piotr
3
2015
Hereditarily indecomposable inverse limits of graphs: shadowing, mixing and exactness. Zbl 1288.54024
Kościelniak, Piotr; Oprocha, Piotr; Tuncali, Murat
3
2014
On invariant \(\varepsilon \)-scrambled sets. Zbl 1202.37016
Balibrea, Francisco; Guirao, Juan L. G.; Oprocha, Piotr
3
2010
A note on distributional chaos with respect to a sequence. Zbl 1177.37039
Oprocha, Piotr
3
2009
On variants of distributional chaos in dimension one. Zbl 1242.37008
Málek, Michal; Oprocha, Piotr
3
2011
A mixing completely scrambled system exists. Zbl 1407.37010
Boroński, Jan P.; Kupka, Jiří; Oprocha, Piotr
3
2019
Shadowing, entropy and a homeomorphism of the pseudoarc. Zbl 1196.37035
Kościelniak, Piotr; Oprocha, Piotr
3
2010
Spectral decomposition theorem for non-hyperbolic maps. Zbl 1153.37334
Oprocha, Piotr
3
2008
Periodic points and transitivity on dendrites. Zbl 1380.37087
Acosta, Gerardo; Hernández-Gutiérrez, Rodrigo; Naghmouchi, Issam; Oprocha, Piotr
2
2017
A dynamical model of parallel computation on bi-infinite time-scale. Zbl 1214.68247
Foryś, Wit; García Guirao, Juan Luis; Oprocha, Piotr
2
2011
On recurrence over subsets and weak mixing. Zbl 1352.37032
Li, Jian; Oprocha, Piotr; Zhang, Guohua
2
2015
Infinite traces and symbolic dynamics. Zbl 1175.68278
Foryś, Wit; Oprocha, Piotr
2
2009
Mixing properties in expanding Lorenz maps. Zbl 1416.37040
Oprocha, Piotr; Potorski, Paweł; Raith, Peter
2
2019
\(\omega\)-chaos without infinite LY-scrambled set on Gehman dendrite. Zbl 1419.37036
Drwięga, Tomasz; Oprocha, Piotr
2
2019
Shadowing is generic on various one-dimensional continua with a special geometric structure. Zbl 1456.37026
Kościelniak, Piotr; Mazur, Marcin; Oprocha, Piotr; Kubica, Łukasz
2
2020
All minimal Cantor systems are slow. Zbl 1447.37016
Boroński, Jan P.; Kupka, Jiří; Oprocha, Piotr
2
2019
A study of chaos for processes under small perturbations. Zbl 1224.34135
Oprocha, Piotr; Wilczyński, Paweł
1
2010
On entropy of graph maps that give hereditarily indecomposable inverse limits. Zbl 1377.37024
Boroński, Jan P.; Oprocha, Piotr
1
2017
Transitive sofic spacing shifts. Zbl 1366.37020
Banks, John; Oprocha, Piotr; Stanley, Brett
1
2015
Distributionally chaotic systems of type 2 and rigidity. Zbl 1376.37022
Foryś-Krawiec, Magdalena; Oprocha, Piotr; Štefánková, Marta
1
2017
Infinite traces and symbolic dynamics – the minimal shift case. Zbl 1252.68203
Foryś, Wit; Oprocha, Piotr
1
2011
On the dynamics of generic maps on the Cantor set. Zbl 1425.37011
Kupka, Jiří; Oprocha, Piotr
1
2019
Double minimality, entropy and disjointness with all minimal systems. Zbl 1410.37012
Oprocha, Piotr
1
2019
Topological approach to chain recurrence in continuous dynamical systems. Zbl 1119.37015
Oprocha, Piotr
1
2005
On dynamics of the Sierpiński carpet. (Sur la dynamique du tapis de Sierpiński.) Zbl 1387.37006
Boroński, Jan P.; Oprocha, Piotr
1
2018
Distributional chaos via isolating segments. Zbl 1140.34020
Oprocha, Piotr; Wilczyński, Pawel
1
2007
Chaotic sub-dynamics in coupled logistic maps. Zbl 1415.37028
Lampart, Marek; Oprocha, Piotr
1
2016
Multi-sensitivity, multi-transitivity and \(\Delta\)-transitivity. Zbl 1446.37014
Oprocha, Piotr; Yu, Tao; Zhang, Guohua
1
2020
Mixing properties in coded systems. Zbl 1446.37013
Epperlein, Jeremias; Kwietniak, Dominik; Oprocha, Piotr
1
2019
On entropy of \(\Phi\)-irregular and \(\Phi\)-level sets in maps with the shadowing property. Zbl 1460.37018
Foryś-Krawiec, Magdalena; Kupka, Jiří; Oprocha, Piotr; Tian, Xueting
1
2021
On entropy of \(\Phi\)-irregular and \(\Phi\)-level sets in maps with the shadowing property. Zbl 1460.37018
Foryś-Krawiec, Magdalena; Kupka, Jiří; Oprocha, Piotr; Tian, Xueting
1
2021
Shadowing is generic on various one-dimensional continua with a special geometric structure. Zbl 1456.37026
Kościelniak, Piotr; Mazur, Marcin; Oprocha, Piotr; Kubica, Łukasz
2
2020
Multi-sensitivity, multi-transitivity and \(\Delta\)-transitivity. Zbl 1446.37014
Oprocha, Piotr; Yu, Tao; Zhang, Guohua
1
2020
Shadowing, asymptotic shadowing and s-limit shadowing. Zbl 1417.37106
Good, Chris; Oprocha, Piotr; Puljiz, Mate
9
2019
A mixing completely scrambled system exists. Zbl 1407.37010
Boroński, Jan P.; Kupka, Jiří; Oprocha, Piotr
3
2019
Mixing properties in expanding Lorenz maps. Zbl 1416.37040
Oprocha, Piotr; Potorski, Paweł; Raith, Peter
2
2019
\(\omega\)-chaos without infinite LY-scrambled set on Gehman dendrite. Zbl 1419.37036
Drwięga, Tomasz; Oprocha, Piotr
2
2019
All minimal Cantor systems are slow. Zbl 1447.37016
Boroński, Jan P.; Kupka, Jiří; Oprocha, Piotr
2
2019
On the dynamics of generic maps on the Cantor set. Zbl 1425.37011
Kupka, Jiří; Oprocha, Piotr
1
2019
Double minimality, entropy and disjointness with all minimal systems. Zbl 1410.37012
Oprocha, Piotr
1
2019
Mixing properties in coded systems. Zbl 1446.37013
Epperlein, Jeremias; Kwietniak, Dominik; Oprocha, Piotr
1
2019
On the irregular points for systems with the shadowing property. Zbl 1397.37009
Dong, Yiwei; Oprocha, Piotr; Tian, Xueting
10
2018
Properties of invariant measures in dynamical systems with the shadowing property. Zbl 1397.37093
Li, Jian; Oprocha, Piotr
8
2018
Edrei’s conjecture revisited. Zbl 1405.37016
Boroński, Jan P.; Kupka, Jiří; Oprocha, Piotr
6
2018
Ultrafilters and Ramsey-type shadowing phenomena in topological dynamics. Zbl 1416.37011
Brian, Will; Oprocha, Piotr
5
2018
A compact minimal space \(Y\) such that its square \(Y\times Y\) is not minimal. Zbl 1394.37014
Boroński, J. P.; Clark, Alex; Oprocha, P.
4
2018
On dynamics of the Sierpiński carpet. (Sur la dynamique du tapis de Sierpiński.) Zbl 1387.37006
Boroński, Jan P.; Oprocha, Piotr
1
2018
On averaged tracing of periodic average pseudo orbits. Zbl 1369.37031
Oprocha, Piotr; Wu, Xinxing
26
2017
Furstenberg families, sensitivity and the space of probability measures. Zbl 1420.54059
Li, Jie; Oprocha, Piotr; Wu, Xinxing
25
2017
When are all closed subsets recurrent? Zbl 1380.37023
Li, Jie; Oprocha, Piotr; Ye, Xiangdong; Zhang, Ruifeng
12
2017
On dynamics of graph maps with zero topological entropy. Zbl 1380.37088
Li, Jian; Oprocha, Piotr; Yang, Yini; Zeng, Tiaoying
5
2017
Multi-recurrence and van der Waerden systems. Zbl 1365.37015
Kwietniak, Dominik; Li, Jian; Oprocha, Piotr; Ye, XiangDong
4
2017
Generic points for dynamical systems with average shadowing. Zbl 1377.37037
Kwietniak, Dominik; Łącka, Martha; Oprocha, Piotr
4
2017
Periodic points and transitivity on dendrites. Zbl 1380.37087
Acosta, Gerardo; Hernández-Gutiérrez, Rodrigo; Naghmouchi, Issam; Oprocha, Piotr
2
2017
On entropy of graph maps that give hereditarily indecomposable inverse limits. Zbl 1377.37024
Boroński, Jan P.; Oprocha, Piotr
1
2017
Distributionally chaotic systems of type 2 and rigidity. Zbl 1376.37022
Foryś-Krawiec, Magdalena; Oprocha, Piotr; Štefánková, Marta
1
2017
On various definitions of shadowing with average error in tracing. Zbl 1364.37023
Wu, Xinxing; Oprocha, Piotr; Chen, Guanrong
53
2016
A panorama of specification-like properties and their consequences. Zbl 1376.37024
Kwietniak, Dominik; Łącka, Martha; Oprocha, Piotr
26
2016
Shadowing, thick sets and the Ramsey property. Zbl 1367.37028
Oprocha, Piotr
14
2016
On entropy of dynamical systems with almost specification. Zbl 1365.37011
Kwietniak, Dominik; Oprocha, Piotr; Rams, Michał
12
2016
Invariant scrambled sets, uniform rigidity and weak mixing. Zbl 1359.37021
Foryś, Magdalena; Huang, Wen; Li, Jian; Oprocha, Piotr
8
2016
Chaotic sub-dynamics in coupled logistic maps. Zbl 1415.37028
Lampart, Marek; Oprocha, Piotr
1
2016
On indecomposability in chaotic attractors. Zbl 1320.54021
Boroński, Jan P.; Oprocha, Piotr
7
2015
Rotational chaos and strange attractors on the 2-torus. Zbl 1348.37055
Boroński, Jan P.; Oprocha, Piotr
6
2015
Subshifts, rotations and the specification property. Zbl 1362.37027
Mazur, Marcin; Oprocha, Piotr
3
2015
On recurrence over subsets and weak mixing. Zbl 1352.37032
Li, Jian; Oprocha, Piotr; Zhang, Guohua
2
2015
Transitive sofic spacing shifts. Zbl 1366.37020
Banks, John; Oprocha, Piotr; Stanley, Brett
1
2015
On almost specification and average shadowing properties. Zbl 1352.37068
Kulczycki, Marcin; Kwietniak, Dominik; Oprocha, Piotr
42
2014
Shadowing is generic – a continuous map case. Zbl 1351.37090
Kościelniak, Piotr; Mazur, Marcin; Oprocha, Piotr; Pilarczyk, Paweł
13
2014
On partial shadowing of complete pseudo-orbits. Zbl 1308.37011
Oprocha, Piotr; Ahmadi Dastjerdi, Dawoud; Hosseini, Maryam
9
2014
Topological aspects of dynamics of pairs, tuples and sets. Zbl 1305.54002
Oprocha, Piotr; Zhang, Guohua
9
2014
Transitivity, two-sided limit shadowing property and dense \(\omega\)-chaos. Zbl 1305.37008
Oprocha, Piotr
9
2014
On local aspects of topological weak mixing, sequence entropy and chaos. Zbl 1322.37003
Oprocha, Piotr; Zhang, Guohua
6
2014
Topological structure and entropy of mixing graph maps. Zbl 1351.37174
Harańczyk, Grzegorz; Kwietniak, Dominik; Oprocha, Piotr
5
2014
Factor maps and invariant distributional chaos. Zbl 1345.37006
Foryś, Magdalena; Oprocha, Piotr; Wilczyński, Paweł
4
2014
Hereditarily indecomposable inverse limits of graphs: shadowing, mixing and exactness. Zbl 1288.54024
Kościelniak, Piotr; Oprocha, Piotr; Tuncali, Murat
3
2014
Characterizations of \(\omega\)-limit sets in topologically hyperbolic systems. Zbl 1266.37013
Barwell, Andrew D.; Good, Chris; Oprocha, Piotr; Raines, Brian E.
24
2013
Distributional chaos for operators with full scrambled sets. Zbl 1279.47017
Martínez-Giménez, Félix; Oprocha, Piotr; Peris, Alfredo
23
2013
Shadowing, entropy and minimal subsystems. Zbl 1285.37002
Moothathu, T. K. Subrahmonian; Oprocha, Piotr
13
2013
Shadowing property, weak mixing and regular recurrence. Zbl 1294.37006
Li, Jian; Oprocha, Piotr
12
2013
Dynamics of spacing shifts. Zbl 1283.37015
Banks, John; Nguyen, Thi T. D.; Oprocha, Piotr; Stanley, Brett; Trotta, Belinda
11
2013
On \(n\)-scrambled tuples and distributional chaos in a sequence. Zbl 1315.54029
Li, Jian; Oprocha, Piotr
10
2013
s-limit shadowing is \(\mathcal C^0\)-dense. Zbl 1317.37032
Mazur, Marcin; Oprocha, Piotr
8
2013
On weak product recurrence and synchronization of return times. Zbl 1286.37015
Oprocha, Piotr; Zhang, Guohua
6
2013
Syndetic proximality and scrambled sets. Zbl 1327.37006
Moothathu, T. K. Subrahmonia; Oprocha, Piotr
5
2013
Coupled-expanding maps and matrix shifts. Zbl 1270.37015
Kulczycki, Marcin; Oprocha, Piotr
4
2013
A note on the average shadowing property for expansive maps. Zbl 1237.37018
Kwietniak, Dominik; Oprocha, Piotr
25
2012
Weak mixing and chaos in nonautonomous discrete systems. Zbl 1246.39004
Balibrea, Francisco; Oprocha, Piotr
24
2012
Shadowing and expansivity in subspaces. Zbl 1350.37028
Barwell, Andrew D.; Good, Chris; Oprocha, Piotr
17
2012
On weak mixing, minimality and weak disjointness of all iterates. Zbl 1283.37026
Kwietniak, Dominik; Oprocha, Piotr
17
2012
Minimal systems and distributionally scrambled sets. Zbl 1278.37013
Oprocha, Piotr
9
2012
On negative limit sets for one-dimensional dynamics. Zbl 1242.37028
Balibrea, Francisco; Dvorníková, Gabriela; Lampart, Marek; Oprocha, Piotr
5
2012
On sets with recurrence properties, their topological structure and entropy. Zbl 1244.37013
Oprocha, Piotr; Zhang, Guohua
4
2012
On local aspects of topological weak mixing in dimension one and beyond. Zbl 1217.37012
Oprocha, Piotr; Zhang, Guohua
17
2011
Coherent lists and chaotic sets. Zbl 1263.37018
Oprocha, Piotr
10
2011
A note on transitivity, sensitivity and chaos for graph maps. Zbl 1228.37012
Harańczyk, Grzegorz; Kwietniak, Dominik; Oprocha, Piotr
8
2011
Properties of dynamical systems with the asymptotic average shadowing property. Zbl 1286.37007
Kulczycki, Marcin; Oprocha, Piotr
5
2011
Dimensional entropy over sets and fibres. Zbl 1223.37023
Oprocha, Piotr; Zhang, Guohua
4
2011
On variants of distributional chaos in dimension one. Zbl 1242.37008
Málek, Michal; Oprocha, Piotr
3
2011
A dynamical model of parallel computation on bi-infinite time-scale. Zbl 1214.68247
Foryś, Wit; García Guirao, Juan Luis; Oprocha, Piotr
2
2011
Infinite traces and symbolic dynamics – the minimal shift case. Zbl 1252.68203
Foryś, Wit; Oprocha, Piotr
1
2011
Weak mixing and product recurrence. Zbl 1203.37026
Oprocha, Piotr
10
2010
Exploring the asymptotic average shadowing property. Zbl 1205.54034
Kulczycki, Marcin; Oprocha, Piotr
9
2010
Families, filters and chaos. Zbl 1293.37005
Oprocha, Piotr
6
2010
Topological entropy for local processes. Zbl 1209.37015
Oprocha, Piotr; Wilczyński, Paweł
4
2010
On invariant \(\varepsilon \)-scrambled sets. Zbl 1202.37016
Balibrea, Francisco; Guirao, Juan L. G.; Oprocha, Piotr
3
2010
Shadowing, entropy and a homeomorphism of the pseudoarc. Zbl 1196.37035
Kościelniak, Piotr; Oprocha, Piotr
3
2010
A study of chaos for processes under small perturbations. Zbl 1224.34135
Oprocha, Piotr; Wilczyński, Paweł
1
2010
Distributional chaos revisited. Zbl 1179.37017
Oprocha, Piotr
47
2009
Distributional chaos for backward shifts. Zbl 1157.47008
Martínez-Giménez, Félix; Oprocha, Piotr; Peris, Alfredo
39
2009
Chaos on hyperspaces. Zbl 1175.37024
García Guirao, Juan Luis; Kwietniak, Dominik; Lampart, Marek; Oprocha, Piotr; Peris, Alfredo
36
2009
Invariant scrambled sets and distributional chaos. Zbl 1171.37022
Oprocha, Piotr
15
2009
Shift spaces, \(\omega \)-chaos and specification property. Zbl 1202.37012
Lampart, M.; Oprocha, P.
10
2009
Chaos in nonautonomous dynamical systems. Zbl 1199.37021
Oprocha, Piotr; Wilczyński, Pawel
6
2009
A note on distributional chaos with respect to a sequence. Zbl 1177.37039
Oprocha, Piotr
3
2009
Infinite traces and symbolic dynamics. Zbl 1175.68278
Foryś, Wit; Oprocha, Piotr
2
2009
Specification property and distributional chaos almost everywhere. Zbl 1159.37004
Oprocha, Piotr; Štefánková, Marta
18
2008
Shadowing in multi-dimensional shift spaces. Zbl 1142.37016
Oprocha, Piotr
11
2008
Chain recurrence in multidimensional time discrete dynamical systems. Zbl 1163.37005
Oprocha, Piotr
10
2008
Spectral decomposition theorem for non-hyperbolic maps. Zbl 1153.37334
Oprocha, Piotr
3
2008
Topological entropy and chaos for maps induced on hyperspaces. Zbl 1152.37306
Kwietniak, Dominik; Oprocha, Piotr
52
2007
Shift spaces and distributional chaos. Zbl 1140.37303
Oprocha, Piotr; Wilczyński, Paweł
24
2007
Specification properties and dense distributional chaos. Zbl 1120.37009
Oprocha, Piotr
12
2007
Distributional chaos via semiconjugacy. Zbl 1131.37017
Oprocha, Piotr; Wilczyński, Paweł
12
2007
Distributional chaos via isolating segments. Zbl 1140.34020
Oprocha, Piotr; Wilczyński, Pawel
1
2007
A quantum harmonic oscillator and strong chaos. Zbl 1107.81026
Oprocha, Piotr
28
2006
Relations between distributional and Devaney chaos. Zbl 1146.37301
Oprocha, Piotr
17
2006
On entropy and Turing machine with moving tape dynamical model. Zbl 1190.37012
Oprocha, Piotr
4
2006
Topological approach to chain recurrence in continuous dynamical systems. Zbl 1119.37015
Oprocha, Piotr
1
2005
all top 5

Cited by 474 Authors

62 Oprocha, Piotr
36 Wu, Xinxing
22 Wang, Lidong
21 Li, Risong
20 Lu, Tianxiu
19 Li, Jian
19 Peris, Alfredo
16 Kwietniak, Dominik
13 Chen, Guanrong
12 Ye, Xiangdong
11 Das, Ruchi
11 Good, Chris
11 Meddaugh, Jonathan
11 Shao, Hua
11 Wang, Hui
10 Raines, Brian E.
10 Yin, Zongbin
9 Bernardes, Nilson C. jun.
9 Boroński, Jan P.
9 Conejero, José Alberto
9 Kostić, Marko
9 Kupka, Jiří
9 Liao, Gongfu
8 Huang, Wen
8 Martínez-Giménez, Félix
8 Murillo-Arcila, Marina
8 Shi, Yuming
8 Zhang, Guohua
8 Zhao, Yu
8 Zhu, Hao
7 Bonilla, Antonio
7 Brian, William Rea
7 Fu, Heman
7 Kawaguchi, Noriaki
7 Lampart, Marek
7 Liu, Heng
7 Varandas, Paulo
7 Yin, Jiandong
6 Chen, Zhijing
6 Fan, Qinjie
6 Huang, Yu
6 Li, Jie
6 Ma, Xin
6 Mitchell, Joel
6 Tian, Xueting
6 Wang, Huoyun
6 Zhu, Peiyong
5 Ahmadi, Seyyed Alireza
5 Balibrea, Francisco
5 Chu, Zhenyan
5 Das, Tarun Kumar
5 García-Ramos, Felipe
5 Kościelniak, Piotr
5 Lee, Keonhee
5 Liang, Jianhua
5 Salman, Mohammad
5 Snoha, Ľubomír
5 Subrahmonian Moothathu, T. K.
5 Wang, Hongqing
5 Wang, Jianjun
4 Bahabadi, Alireza Zamani
4 Carvalho, Bernardo
4 Darji, Udayan B.
4 Foryś-Krawiec, Magdalena
4 Hou, Bingzhe
4 Ji, Zhanjiang
4 Jiang, Ru
4 Kulczycki, Marcin
4 Lee, Manseob
4 Lei, Fengchun
4 Liang, Haihua
4 Nagar, Anima
4 Naghmouchi, Issam
4 Nguyễn Ngọc Thạch
4 Niu, Yingxuan
4 Pavlov, Ronnie
4 Seoane-Sepúlveda, Juan Benigno
4 Shah, Sejal
4 Shao, Song
4 Sharma, Puneet
4 Štefánková, Marta
4 Tan, Feng
4 Wang, Yangeng
4 Wei, Guo
4 Yang, Qigui
4 Zhang, Ruifeng
4 Zhao, Yingcui
3 Barrachina, Xavier
3 Bartoll, Salud
3 Bomfim, Thiago
3 Chen, Ercai
3 Chen, Minghao
3 Ciesielski, Krzysztof Chris
3 Climenhaga, Vaughn
3 Cordeiro, Welington
3 Darabi, Ali
3 Dong, Yiwei
3 Drwiȩga, Tomasz
3 Fernández, Leobardo
3 Gao, Yuelin
...and 374 more Authors
all top 5

Cited in 138 Serials

41 Topology and its Applications
39 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
33 Journal of Mathematical Analysis and Applications
32 Ergodic Theory and Dynamical Systems
30 Discrete and Continuous Dynamical Systems
26 Chaos, Solitons and Fractals
22 Journal of Difference Equations and Applications
19 Proceedings of the American Mathematical Society
15 Dynamical Systems
11 Journal of Differential Equations
10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
10 Journal of Dynamics and Differential Equations
9 Acta Mathematica Sinica. English Series
8 Nonlinearity
8 Advances in Mathematics
8 Journal of Nonlinear Science and Applications
8 Science China. Mathematics
7 Journal of Mathematical Chemistry
7 Qualitative Theory of Dynamical Systems
6 Israel Journal of Mathematics
6 Monatshefte für Mathematik
6 Transactions of the American Mathematical Society
6 Discrete Dynamics in Nature and Society
5 Journal of Dynamical Systems and Geometric Theories
5 Advances in Difference Equations
4 Fundamenta Mathematicae
4 Mathematische Zeitschrift
4 Topological Methods in Nonlinear Analysis
4 Chaos
4 Communications in Nonlinear Science and Numerical Simulation
4 Journal of Dynamical and Control Systems
4 Asian-European Journal of Mathematics
4 Applied General Topology
4 Open Mathematics
3 Fuzzy Sets and Systems
3 Journal of Functional Analysis
3 Journal of the Korean Mathematical Society
3 Bulletin of the Korean Mathematical Society
3 Applied Mathematics Letters
3 Complexity
3 Abstract and Applied Analysis
3 Communications of the Korean Mathematical Society
3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
3 Stochastics and Dynamics
2 Journal d’Analyse Mathématique
2 Information Sciences
2 Results in Mathematics
2 Semigroup Forum
2 Chinese Annals of Mathematics. Series B
2 Bulletin of the American Mathematical Society. New Series
2 Topology Proceedings
2 Taiwanese Journal of Mathematics
2 Novi Sad Journal of Mathematics
2 Far East Journal of Dynamical Systems
2 Discrete and Continuous Dynamical Systems. Series B
2 Journal of Applied Mathematics
2 Bulletin of the Brazilian Mathematical Society. New Series
2 Hacettepe Journal of Mathematics and Statistics
2 Mediterranean Journal of Mathematics
2 Nonautonomous Dynamical Systems
1 International Journal of Modern Physics B
1 American Mathematical Monthly
1 Journal of Mathematical Physics
1 Journal of Statistical Physics
1 Ukrainian Mathematical Journal
1 Reviews in Mathematical Physics
1 Acta Mathematica Vietnamica
1 Annales de l’Institut Fourier
1 Annales Polonici Mathematici
1 Archiv der Mathematik
1 Automatica
1 Colloquium Mathematicum
1 Czechoslovak Mathematical Journal
1 Illinois Journal of Mathematics
1 International Journal of Mathematics and Mathematical Sciences
1 Integral Equations and Operator Theory
1 Inventiones Mathematicae
1 Journal of Computer and System Sciences
1 Journal of Mathematical Economics
1 The Journal of Symbolic Logic
1 Michigan Mathematical Journal
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Real Analysis Exchange
1 Systems & Control Letters
1 Statistics & Probability Letters
1 Bulletin of the Iranian Mathematical Society
1 Physica D
1 Information and Computation
1 Forum Mathematicum
1 Science in China. Series A
1 European Journal of Applied Mathematics
1 The Journal of Geometric Analysis
1 Applied Mathematical Modelling
1 International Journal of Computer Mathematics
1 Linear Algebra and its Applications
1 Indagationes Mathematicae. New Series
1 Tatra Mountains Mathematical Publications
1 Applied Mathematics. Series B (English Edition)
1 Journal of Mathematical Sciences (New York)
1 Kyushu Journal of Mathematics
...and 38 more Serials
all top 5

Cited in 40 Fields

507 Dynamical systems and ergodic theory (37-XX)
181 General topology (54-XX)
52 Operator theory (47-XX)
17 Measure and integration (28-XX)
12 Real functions (26-XX)
11 Ordinary differential equations (34-XX)
10 Functional analysis (46-XX)
10 Probability theory and stochastic processes (60-XX)
9 Computer science (68-XX)
8 Mathematical logic and foundations (03-XX)
7 Combinatorics (05-XX)
7 Topological groups, Lie groups (22-XX)
7 Difference and functional equations (39-XX)
6 Number theory (11-XX)
5 Group theory and generalizations (20-XX)
5 Global analysis, analysis on manifolds (58-XX)
5 Biology and other natural sciences (92-XX)
5 Systems theory; control (93-XX)
4 Partial differential equations (35-XX)
3 Functions of a complex variable (30-XX)
3 Abstract harmonic analysis (43-XX)
3 Quantum theory (81-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Sequences, series, summability (40-XX)
2 Approximations and expansions (41-XX)
2 Manifolds and cell complexes (57-XX)
2 Mechanics of deformable solids (74-XX)
2 Operations research, mathematical programming (90-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 General algebraic systems (08-XX)
1 Algebraic geometry (14-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Associative rings and algebras (16-XX)
1 Potential theory (31-XX)
1 Special functions (33-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Differential geometry (53-XX)
1 Mechanics of particles and systems (70-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year