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Oprocha, Piotr

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Author ID: oprocha.piotr Recent zbMATH articles by "Oprocha, Piotr"
Published as: Oprocha, P.; Oprocha, Piotr
External Links: MGP · ORCID
Documents Indexed: 113 Publications since 2004
Reviewing Activity: 29 Reviews
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Serials

11 Discrete and Continuous Dynamical Systems
9 Ergodic Theory and Dynamical Systems
7 Nonlinearity
5 Journal of Mathematical Analysis and Applications
4 Fundamenta Mathematicae
4 Proceedings of the American Mathematical Society
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 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 Journal of Dynamics and Differential Equations
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
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 Ştiinţifice ale Universităţii “Ovidius” Constanţa. 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

94 Publications have been cited 871 times in 474 Documents Cited by Year
Topological entropy and chaos for maps induced on hyperspaces. Zbl 1152.37306
Kwietniak, Dominik; Oprocha, Piotr
47
2007
On various definitions of shadowing with average error in tracing. Zbl 1364.37023
Wu, Xinxing; Oprocha, Piotr; Chen, Guanrong
46
2016
Distributional chaos revisited. Zbl 1179.37017
Oprocha, Piotr
43
2009
Distributional chaos for backward shifts. Zbl 1157.47008
Martínez-Giménez, Félix; Oprocha, Piotr; Peris, Alfredo
37
2009
On almost specification and average shadowing properties. Zbl 1352.37068
Kulczycki, Marcin; Kwietniak, Dominik; Oprocha, Piotr
34
2014
Chaos on hyperspaces. Zbl 1175.37024
García Guirao, Juan Luis; Kwietniak, Dominik; Lampart, Marek; Oprocha, Piotr; Peris, Alfredo
30
2009
A quantum harmonic oscillator and strong chaos. Zbl 1107.81026
Oprocha, Piotr
27
2006
Shift spaces and distributional chaos. Zbl 1140.37303
Oprocha, Piotr; Wilczyński, Paweł
24
2007
Furstenberg families, sensitivity and the space of probability measures. Zbl 1420.54059
Li, Jie; Oprocha, Piotr; Wu, Xinxing
23
2017
On averaged tracing of periodic average pseudo orbits. Zbl 1369.37031
Oprocha, Piotr; Wu, Xinxing
22
2017
Characterizations of \(\omega\)-limit sets in topologically hyperbolic systems. Zbl 1266.37013
Barwell, Andrew D.; Good, Chris; Oprocha, Piotr; Raines, Brian E.
21
2013
Weak mixing and chaos in nonautonomous discrete systems. Zbl 1246.39004
Balibrea, Francisco; Oprocha, Piotr
20
2012
A panorama of specification-like properties and their consequences. Zbl 1376.37024
Kwietniak, Dominik; Łącka, Martha; Oprocha, Piotr
19
2016
A note on the average shadowing property for expansive maps. Zbl 1237.37018
Kwietniak, Dominik; Oprocha, Piotr
19
2012
Distributional chaos for operators with full scrambled sets. Zbl 1279.47017
Martínez-Giménez, Félix; Oprocha, Piotr; Peris, Alfredo
18
2013
Relations between distributional and Devaney chaos. Zbl 1146.37301
Oprocha, Piotr
17
2006
On local aspects of topological weak mixing in dimension one and beyond. Zbl 1217.37012
Oprocha, Piotr; Zhang, Guohua
16
2011
Specification property and distributional chaos almost everywhere. Zbl 1159.37004
Oprocha, Piotr; Štefánková, Marta
16
2008
Invariant scrambled sets and distributional chaos. Zbl 1171.37022
Oprocha, Piotr
14
2009
On weak mixing, minimality and weak disjointness of all iterates. Zbl 1283.37026
Kwietniak, Dominik; Oprocha, Piotr
13
2012
Shadowing, entropy and minimal subsystems. Zbl 1285.37002
Moothathu, T. K. Subrahmonian; Oprocha, Piotr
12
2013
Shadowing and expansivity in subspaces. Zbl 1350.37028
Barwell, Andrew D.; Good, Chris; Oprocha, Piotr
12
2012
Distributional chaos via semiconjugacy. Zbl 1131.37017
Oprocha, Piotr; Wilczyński, Paweł
12
2007
Shadowing property, weak mixing and regular recurrence. Zbl 1294.37006
Li, Jian; Oprocha, Piotr
11
2013
When are all closed subsets recurrent? Zbl 1380.37023
Li, Jie; Oprocha, Piotr; Ye, Xiangdong; Zhang, Ruifeng
10
2017
Shadowing is generic – a continuous map case. Zbl 1351.37090
Kościelniak, Piotr; Mazur, Marcin; Oprocha, Piotr; Pilarczyk, Paweł
10
2014
Dynamics of spacing shifts. Zbl 1283.37015
Banks, John; Nguyen, Thi T. D.; Oprocha, Piotr; Stanley, Brett; Trotta, Belinda
10
2013
Coherent lists and chaotic sets. Zbl 1263.37018
Oprocha, Piotr
10
2011
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
Specification properties and dense distributional chaos. Zbl 1120.37009
Oprocha, Piotr
10
2007
Shadowing, thick sets and the Ramsey property. Zbl 1367.37028
Oprocha, Piotr
9
2016
On entropy of dynamical systems with almost specification. Zbl 1365.37011
Kwietniak, Dominik; Oprocha, Piotr; Rams, Michał
9
2016
On the irregular points for systems with the shadowing property. Zbl 1397.37009
Dong, Yiwei; Oprocha, Piotr; Tian, Xueting
8
2018
Invariant scrambled sets, uniform rigidity and weak mixing. Zbl 1359.37021
Foryś, Magdalena; Huang, Wen; Li, Jian; Oprocha, Piotr
8
2016
On \(n\)-scrambled tuples and distributional chaos in a sequence. Zbl 1315.54029
Li, Jian; Oprocha, Piotr
8
2013
Minimal systems and distributionally scrambled sets. Zbl 1278.37013
Oprocha, Piotr
8
2012
Exploring the asymptotic average shadowing property. Zbl 1205.54034
Kulczycki, Marcin; Oprocha, Piotr
8
2010
Chain recurrence in multidimensional time discrete dynamical systems. Zbl 1163.37005
Oprocha, Piotr
8
2008
s-limit shadowing is \(\mathcal C^0\)-dense. Zbl 1317.37032
Mazur, Marcin; Oprocha, Piotr
7
2013
A note on transitivity, sensitivity and chaos for graph maps. Zbl 1228.37012
Harańczyk, Grzegorz; Kwietniak, Dominik; Oprocha, Piotr
7
2011
Shadowing in multi-dimensional shift spaces. Zbl 1142.37016
Oprocha, Piotr
7
2008
Shadowing, asymptotic shadowing and s-limit shadowing. Zbl 1417.37106
Good, Chris; Oprocha, Piotr; Puljiz, Mate
6
2019
On indecomposability in chaotic attractors. Zbl 1320.54021
Boroński, Jan P.; Oprocha, Piotr
6
2015
Transitivity, two-sided limit shadowing property and dense \(\omega\)-chaos. Zbl 1305.37008
Oprocha, Piotr
6
2014
Topological aspects of dynamics of pairs, tuples and sets. Zbl 1305.54002
Oprocha, Piotr; Zhang, Guohua
6
2014
Properties of invariant measures in dynamical systems with the shadowing property. Zbl 1397.37093
Li, Jian; Oprocha, Piotr
5
2018
Rotational chaos and strange attractors on the 2-torus. Zbl 1348.37055
Boroński, Jan P.; Oprocha, Piotr
5
2015
On local aspects of topological weak mixing, sequence entropy and chaos. Zbl 1322.37003
Oprocha, Piotr; Zhang, Guohua
5
2014
On weak product recurrence and synchronization of return times. Zbl 1286.37015
Oprocha, Piotr; Zhang, Guohua
5
2013
Syndetic proximality and scrambled sets. Zbl 1327.37006
Moothathu, T. K. Subrahmonia; Oprocha, Piotr
5
2013
Families, filters and chaos. Zbl 1293.37005
Oprocha, Piotr
5
2010
Ultrafilters and Ramsey-type shadowing phenomena in topological dynamics. Zbl 1416.37011
Brian, Will; Oprocha, Piotr
4
2018
Edrei’s conjecture revisited. Zbl 1405.37016
Boroński, Jan P.; Kupka, Jiří; Oprocha, Piotr
4
2018
Periodic points and transitivity on dendrites. Zbl 1380.37087
Acosta, Gerardo; Hernández-Gutiérrez, Rodrigo; Naghmouchi, Issam; Oprocha, Piotr
4
2017
Multi-recurrence and van der Waerden systems. Zbl 1365.37015
Kwietniak, Dominik; Li, Jian; Oprocha, Piotr; Ye, XiangDong
4
2017
On partial shadowing of complete pseudo-orbits. Zbl 1308.37011
Oprocha, Piotr; Ahmadi Dastjerdi, Dawoud; Hosseini, Maryam
4
2014
Topological structure and entropy of mixing graph maps. Zbl 1351.37174
Harańczyk, Grzegorz; Kwietniak, Dominik; Oprocha, Piotr
4
2014
Coupled-expanding maps and matrix shifts. Zbl 1270.37015
Kulczycki, Marcin; Oprocha, Piotr
4
2013
On sets with recurrence properties, their topological structure and entropy. Zbl 1244.37013
Oprocha, Piotr; Zhang, Guohua
4
2012
Dimensional entropy over sets and fibres. Zbl 1223.37023
Oprocha, Piotr; Zhang, Guohua
4
2011
Properties of dynamical systems with the asymptotic average shadowing property. Zbl 1286.37007
Kulczycki, Marcin; Oprocha, Piotr
4
2011
Topological entropy for local processes. Zbl 1209.37015
Oprocha, Piotr; Wilczyński, Paweł
4
2010
Chaos in nonautonomous dynamical systems. Zbl 1199.37021
Oprocha, Piotr; Wilczyński, Pawel
4
2009
On entropy and Turing machine with moving tape dynamical model. Zbl 1190.37012
Oprocha, Piotr
4
2006
A mixing completely scrambled system exists. Zbl 1407.37010
Boroński, Jan P.; Kupka, Jiří; Oprocha, Piotr
3
2019
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.
3
2018
On dynamics of graph maps with zero topological entropy. Zbl 1380.37088
Li, Jian; Oprocha, Piotr; Yang, Yini; Zeng, Tiaoying
3
2017
Factor maps and invariant distributional chaos. Zbl 1345.37006
Foryś, Magdalena; Oprocha, Piotr; Wilczyński, Paweł
3
2014
Hereditarily indecomposable inverse limits of graphs: shadowing, mixing and exactness. Zbl 1288.54024
Kościelniak, Piotr; Oprocha, Piotr; Tuncali, Murat
3
2014
On variants of distributional chaos in dimension one. Zbl 1242.37008
Málek, Michal; Oprocha, Piotr
3
2011
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
Infinite traces and symbolic dynamics. Zbl 1175.68278
Foryś, Wit; Oprocha, Piotr
3
2009
Spectral decomposition theorem for non-hyperbolic maps. Zbl 1153.37334
Oprocha, Piotr
3
2008
Generic points for dynamical systems with average shadowing. Zbl 1377.37037
Kwietniak, Dominik; Łącka, Martha; Oprocha, Piotr
2
2017
Subshifts, rotations and the specification property. Zbl 1362.37027
Mazur, Marcin; Oprocha, Piotr
2
2015
On recurrence over subsets and weak mixing. Zbl 1352.37032
Li, Jian; Oprocha, Piotr; Zhang, Guohua
2
2015
On negative limit sets for one-dimensional dynamics. Zbl 1242.37028
Balibrea, Francisco; Dvorníková, Gabriela; Lampart, Marek; Oprocha, Piotr
2
2012
A dynamical model of parallel computation on bi-infinite time-scale. Zbl 1214.68247
Foryś, Wit; García Guirao, Juan Luis; Oprocha, Piotr
2
2011
A note on distributional chaos with respect to a sequence. Zbl 1177.37039
Oprocha, Piotr
2
2009
Multi-sensitivity, multi-transitivity and \(\Delta\)-transitivity. Zbl 1446.37014
Oprocha, Piotr; Yu, Tao; Zhang, Guohua
1
2020
Shadowing is generic on various one-dimensional continua with a special geometric structure. Zbl 1456.37026
Kościelniak, Piotr; Mazur, Marcin; Oprocha, Piotr; Kubica, Łukasz
1
2020
\(\omega\)-chaos without infinite LY-scrambled set on Gehman dendrite. Zbl 1419.37036
Drwięga, Tomasz; Oprocha, Piotr
1
2019
Double minimality, entropy and disjointness with all minimal systems. Zbl 1410.37012
Oprocha, Piotr
1
2019
On dynamics of the Sierpiński carpet. Zbl 1387.37006
Boroński, Jan P.; Oprocha, Piotr
1
2018
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
Chaotic sub-dynamics in coupled logistic maps. Zbl 1415.37028
Lampart, Marek; Oprocha, Piotr
1
2016
Transitive sofic spacing shifts. Zbl 1366.37020
Banks, John; Oprocha, Piotr; Stanley, Brett
1
2015
Infinite traces and symbolic dynamics – the minimal shift case. Zbl 1252.68203
Foryś, Wit; Oprocha, Piotr
1
2011
A study of chaos for processes under small perturbations. Zbl 1224.34135
Oprocha, Piotr; Wilczyński, Paweł
1
2010
Distributional chaos via isolating segments. Zbl 1140.34020
Oprocha, Piotr; Wilczyński, Pawel
1
2007
Topological approach to chain recurrence in continuous dynamical systems. Zbl 1119.37015
Oprocha, Piotr
1
2005
Multi-sensitivity, multi-transitivity and \(\Delta\)-transitivity. Zbl 1446.37014
Oprocha, Piotr; Yu, Tao; Zhang, Guohua
1
2020
Shadowing is generic on various one-dimensional continua with a special geometric structure. Zbl 1456.37026
Kościelniak, Piotr; Mazur, Marcin; Oprocha, Piotr; Kubica, Łukasz
1
2020
Shadowing, asymptotic shadowing and s-limit shadowing. Zbl 1417.37106
Good, Chris; Oprocha, Piotr; Puljiz, Mate
6
2019
A mixing completely scrambled system exists. Zbl 1407.37010
Boroński, Jan P.; Kupka, Jiří; Oprocha, Piotr
3
2019
\(\omega\)-chaos without infinite LY-scrambled set on Gehman dendrite. Zbl 1419.37036
Drwięga, Tomasz; Oprocha, Piotr
1
2019
Double minimality, entropy and disjointness with all minimal systems. Zbl 1410.37012
Oprocha, Piotr
1
2019
On the irregular points for systems with the shadowing property. Zbl 1397.37009
Dong, Yiwei; Oprocha, Piotr; Tian, Xueting
8
2018
Properties of invariant measures in dynamical systems with the shadowing property. Zbl 1397.37093
Li, Jian; Oprocha, Piotr
5
2018
Ultrafilters and Ramsey-type shadowing phenomena in topological dynamics. Zbl 1416.37011
Brian, Will; Oprocha, Piotr
4
2018
Edrei’s conjecture revisited. Zbl 1405.37016
Boroński, Jan P.; Kupka, Jiří; Oprocha, Piotr
4
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.
3
2018
On dynamics of the Sierpiński carpet. Zbl 1387.37006
Boroński, Jan P.; Oprocha, Piotr
1
2018
Furstenberg families, sensitivity and the space of probability measures. Zbl 1420.54059
Li, Jie; Oprocha, Piotr; Wu, Xinxing
23
2017
On averaged tracing of periodic average pseudo orbits. Zbl 1369.37031
Oprocha, Piotr; Wu, Xinxing
22
2017
When are all closed subsets recurrent? Zbl 1380.37023
Li, Jie; Oprocha, Piotr; Ye, Xiangdong; Zhang, Ruifeng
10
2017
Periodic points and transitivity on dendrites. Zbl 1380.37087
Acosta, Gerardo; Hernández-Gutiérrez, Rodrigo; Naghmouchi, Issam; Oprocha, Piotr
4
2017
Multi-recurrence and van der Waerden systems. Zbl 1365.37015
Kwietniak, Dominik; Li, Jian; Oprocha, Piotr; Ye, XiangDong
4
2017
On dynamics of graph maps with zero topological entropy. Zbl 1380.37088
Li, Jian; Oprocha, Piotr; Yang, Yini; Zeng, Tiaoying
3
2017
Generic points for dynamical systems with average shadowing. Zbl 1377.37037
Kwietniak, Dominik; Łącka, Martha; 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
46
2016
A panorama of specification-like properties and their consequences. Zbl 1376.37024
Kwietniak, Dominik; Łącka, Martha; Oprocha, Piotr
19
2016
Shadowing, thick sets and the Ramsey property. Zbl 1367.37028
Oprocha, Piotr
9
2016
On entropy of dynamical systems with almost specification. Zbl 1365.37011
Kwietniak, Dominik; Oprocha, Piotr; Rams, Michał
9
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
6
2015
Rotational chaos and strange attractors on the 2-torus. Zbl 1348.37055
Boroński, Jan P.; Oprocha, Piotr
5
2015
Subshifts, rotations and the specification property. Zbl 1362.37027
Mazur, Marcin; Oprocha, Piotr
2
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
34
2014
Shadowing is generic – a continuous map case. Zbl 1351.37090
Kościelniak, Piotr; Mazur, Marcin; Oprocha, Piotr; Pilarczyk, Paweł
10
2014
Transitivity, two-sided limit shadowing property and dense \(\omega\)-chaos. Zbl 1305.37008
Oprocha, Piotr
6
2014
Topological aspects of dynamics of pairs, tuples and sets. Zbl 1305.54002
Oprocha, Piotr; Zhang, Guohua
6
2014
On local aspects of topological weak mixing, sequence entropy and chaos. Zbl 1322.37003
Oprocha, Piotr; Zhang, Guohua
5
2014
On partial shadowing of complete pseudo-orbits. Zbl 1308.37011
Oprocha, Piotr; Ahmadi Dastjerdi, Dawoud; Hosseini, Maryam
4
2014
Topological structure and entropy of mixing graph maps. Zbl 1351.37174
Harańczyk, Grzegorz; Kwietniak, Dominik; Oprocha, Piotr
4
2014
Factor maps and invariant distributional chaos. Zbl 1345.37006
Foryś, Magdalena; Oprocha, Piotr; Wilczyński, Paweł
3
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.
21
2013
Distributional chaos for operators with full scrambled sets. Zbl 1279.47017
Martínez-Giménez, Félix; Oprocha, Piotr; Peris, Alfredo
18
2013
Shadowing, entropy and minimal subsystems. Zbl 1285.37002
Moothathu, T. K. Subrahmonian; Oprocha, Piotr
12
2013
Shadowing property, weak mixing and regular recurrence. Zbl 1294.37006
Li, Jian; Oprocha, Piotr
11
2013
Dynamics of spacing shifts. Zbl 1283.37015
Banks, John; Nguyen, Thi T. D.; Oprocha, Piotr; Stanley, Brett; Trotta, Belinda
10
2013
On \(n\)-scrambled tuples and distributional chaos in a sequence. Zbl 1315.54029
Li, Jian; Oprocha, Piotr
8
2013
s-limit shadowing is \(\mathcal C^0\)-dense. Zbl 1317.37032
Mazur, Marcin; Oprocha, Piotr
7
2013
On weak product recurrence and synchronization of return times. Zbl 1286.37015
Oprocha, Piotr; Zhang, Guohua
5
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
Weak mixing and chaos in nonautonomous discrete systems. Zbl 1246.39004
Balibrea, Francisco; Oprocha, Piotr
20
2012
A note on the average shadowing property for expansive maps. Zbl 1237.37018
Kwietniak, Dominik; Oprocha, Piotr
19
2012
On weak mixing, minimality and weak disjointness of all iterates. Zbl 1283.37026
Kwietniak, Dominik; Oprocha, Piotr
13
2012
Shadowing and expansivity in subspaces. Zbl 1350.37028
Barwell, Andrew D.; Good, Chris; Oprocha, Piotr
12
2012
Minimal systems and distributionally scrambled sets. Zbl 1278.37013
Oprocha, Piotr
8
2012
On sets with recurrence properties, their topological structure and entropy. Zbl 1244.37013
Oprocha, Piotr; Zhang, Guohua
4
2012
On negative limit sets for one-dimensional dynamics. Zbl 1242.37028
Balibrea, Francisco; Dvorníková, Gabriela; Lampart, Marek; Oprocha, Piotr
2
2012
On local aspects of topological weak mixing in dimension one and beyond. Zbl 1217.37012
Oprocha, Piotr; Zhang, Guohua
16
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
7
2011
Dimensional entropy over sets and fibres. Zbl 1223.37023
Oprocha, Piotr; Zhang, Guohua
4
2011
Properties of dynamical systems with the asymptotic average shadowing property. Zbl 1286.37007
Kulczycki, Marcin; Oprocha, Piotr
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
8
2010
Families, filters and chaos. Zbl 1293.37005
Oprocha, Piotr
5
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
43
2009
Distributional chaos for backward shifts. Zbl 1157.47008
Martínez-Giménez, Félix; Oprocha, Piotr; Peris, Alfredo
37
2009
Chaos on hyperspaces. Zbl 1175.37024
García Guirao, Juan Luis; Kwietniak, Dominik; Lampart, Marek; Oprocha, Piotr; Peris, Alfredo
30
2009
Invariant scrambled sets and distributional chaos. Zbl 1171.37022
Oprocha, Piotr
14
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
4
2009
Infinite traces and symbolic dynamics. Zbl 1175.68278
Foryś, Wit; Oprocha, Piotr
3
2009
A note on distributional chaos with respect to a sequence. Zbl 1177.37039
Oprocha, Piotr
2
2009
Specification property and distributional chaos almost everywhere. Zbl 1159.37004
Oprocha, Piotr; Štefánková, Marta
16
2008
Chain recurrence in multidimensional time discrete dynamical systems. Zbl 1163.37005
Oprocha, Piotr
8
2008
Shadowing in multi-dimensional shift spaces. Zbl 1142.37016
Oprocha, Piotr
7
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
47
2007
Shift spaces and distributional chaos. Zbl 1140.37303
Oprocha, Piotr; Wilczyński, Paweł
24
2007
Distributional chaos via semiconjugacy. Zbl 1131.37017
Oprocha, Piotr; Wilczyński, Paweł
12
2007
Specification properties and dense distributional chaos. Zbl 1120.37009
Oprocha, Piotr
10
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
27
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 423 Authors

59 Oprocha, Piotr
34 Wu, Xinxing
21 Wang, Lidong
19 Li, Risong
18 Lu, Tianxiu
18 Peris, Alfredo
16 Li, Jian
14 Kwietniak, Dominik
11 Good, Chris
11 Ye, Xiangdong
10 Chen, Guanrong
10 Das, Ruchi
10 Raines, Brian E.
10 Wang, Hui
9 Conejero, José Alberto
9 Kupka, Jiří
9 Liao, Gongfu
9 Meddaugh, Jonathan
9 Shao, Hua
8 Boroński, Jan P.
8 Huang, Wen
8 Murillo-Arcila, Marina
8 Shi, Yuming
8 Zhang, Guohua
8 Zhao, Yu
7 Bernardes, Nilson C. jun.
7 Bonilla, Antonio
7 Brian, William Rea
7 Fu, Heman
7 Kostić, Marko
7 Lampart, Marek
7 Liu, Heng
7 Martínez-Giménez, Félix
7 Yin, Zongbin
6 Fan, Qinjie
6 Huang, Yu
6 Li, Jie
6 Ma, Xin
6 Tian, Xueting
6 Yin, Jiandong
6 Zhu, Hao
6 Zhu, Peiyong
5 Balibrea, Francisco
5 Chen, Zhijing
5 Chu, Zhenyan
5 Das, Tarun Kumar
5 Kościelniak, Piotr
5 Mitchell, Joel
5 Salman, Mohammad
5 Subrahmonian Moothathu, T. K.
5 Wang, Hongqing
5 Wang, Jianjun
4 Carvalho, Bernardo
4 Hou, Bingzhe
4 Jiang, Ru
4 Kawaguchi, Noriaki
4 Kulczycki, Marcin
4 Lee, Keonhee
4 Lee, Manseob
4 Lei, Fengchun
4 Liang, Haihua
4 Liang, Jianhua
4 Morales, Carlos Arnoldo
4 Pavlov, Ronnie
4 Seoane-Sepúlveda, Juan Benigno
4 Sharma, Puneet
4 Snoha, L’ubomír
4 Štefánková, Marta
4 Tan, Feng
4 Varandas, Paulo
4 Wang, Huoyun
4 Wang, Yangeng
4 Wei, Guo
4 Yang, Qigui
4 Zhang, Xu
4 Zhao, Yingcui
3 Ahmadi, Seyyed Alireza
3 Barrachina, Xavier
3 Bartoll, Salud
3 Bomfim, Thiago
3 Chen, Ercai
3 Chen, Minghao
3 Ciesielski, Krzysztof Chris
3 Cordeiro, Welington
3 Dong, Yiwei
3 Drwiȩga, Tomasz
3 Fernández, Leobardo
3 Foryś-Krawiec, Magdalena
3 Foryś, Wit
3 Gao, Yuelin
3 Ju, Hyonhui
3 Kim, Cholsan
3 Kolyada, Sergiǐ Fedorovych
3 Liu, Lei
3 Lizama, Carlos
3 Loranty, Anna
3 Lu, Jie
3 Málek, Michal
3 Mazur, Marcin
3 Naghmouchi, Issam
...and 323 more Authors
all top 5

Cited in 118 Serials

36 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
34 Journal of Mathematical Analysis and Applications
34 Topology and its Applications
28 Ergodic Theory and Dynamical Systems
24 Chaos, Solitons and Fractals
22 Discrete and Continuous Dynamical Systems
20 Journal of Difference Equations and Applications
18 Proceedings of the American Mathematical Society
11 Dynamical Systems
10 Journal of Differential Equations
10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
8 Journal of Nonlinear Science and Applications
8 Science China. Mathematics
7 Nonlinearity
7 Journal of Dynamics and Differential Equations
7 Journal of Mathematical Chemistry
7 Acta Mathematica Sinica. English Series
6 Advances in Mathematics
6 Transactions of the American Mathematical Society
6 Qualitative Theory of Dynamical Systems
5 Discrete Dynamics in Nature and Society
5 Advances in Difference Equations
4 Israel Journal of Mathematics
4 Mathematische Zeitschrift
4 Monatshefte für Mathematik
4 Chaos
4 Communications in Nonlinear Science and Numerical Simulation
4 Asian-European Journal of Mathematics
4 Applied General Topology
3 Fundamenta Mathematicae
3 Fuzzy Sets and Systems
3 Journal of Functional Analysis
3 Applied Mathematics Letters
3 Complexity
3 Abstract and Applied Analysis
3 Communications of the Korean Mathematical Society
3 Journal of Dynamical and Control Systems
2 Information Sciences
2 Semigroup Forum
2 Chinese Annals of Mathematics. Series B
2 Bulletin of the American Mathematical Society. New Series
2 Topological Methods in Nonlinear Analysis
2 Topology Proceedings
2 Taiwanese Journal of Mathematics
2 Discrete and Continuous Dynamical Systems. Series B
2 Journal of Applied Mathematics
2 Stochastics and Dynamics
2 Bulletin of the Brazilian Mathematical Society. New Series
2 Mediterranean Journal of Mathematics
2 Nonautonomous Dynamical Systems
2 Open Mathematics
1 International Journal of Modern Physics B
1 American Mathematical Monthly
1 Journal d’Analyse Mathématique
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 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 Computational and Applied Mathematics
1 Journal of Computer and System Sciences
1 Journal of the Korean Mathematical Society
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 Results in Mathematics
1 Systems & Control Letters
1 Bulletin of the Korean Mathematical Society
1 Statistics & Probability Letters
1 Bulletin of the Iranian Mathematical Society
1 Physica D
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 Tatra Mountains Mathematical Publications
1 Applied Mathematics. Series B (English Edition)
1 Journal of Mathematical Sciences (New York)
1 Kyushu Journal of Mathematics
1 Georgian Mathematical Journal
1 Bulletin des Sciences Mathématiques
1 Boletín de la Sociedad Matemática Mexicana. Third Series
1 Theory of Computing Systems
1 Novi Sad Journal of Mathematics
1 Geometry & Topology
1 Revista Matemática Complutense
1 Regular and Chaotic Dynamics
1 Communications in Contemporary Mathematics
...and 18 more Serials
all top 5

Cited in 37 Fields

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

Citations by Year