Lipiński, Michał; Mischaikow, Konstantin; Mrozek, Marian Morse predecomposition of an invariant set. (English) Zbl 07950011 Qual. Theory Dyn. Syst. 24, No. 1, Paper No. 5, 33 p. (2025). MSC: 37B30 37B20 37B35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
De Leo, Roberto; Yorke, James A. Streams and graphs of dynamical systems. (English) Zbl 07902958 Qual. Theory Dyn. Syst. 24, No. 1, Paper No. 1, 53 p. (2025). MSC: 37B20 37B35 37B25 37E05 37E25 37B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shi, Yi; Wang, Xiaodong \(C^r\)-chain closing lemma for certain partially hyperbolic diffeomorphisms. (English) Zbl 07983536 Ergodic Theory Dyn. Syst. 44, No. 7, 1923-1944 (2024). MSC: 37D30 37C20 37C50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kumar, Sanjay; Lalwani, Kushal Attractors and chain recurrence in noncompact space for semigroup of continuous maps. (English) Zbl 07902315 Poincare J. Anal. Appl. 11, No. 1, 85-94 (2024). MSC: 37B20 37B35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barinova, Marina Konstantinovna; Shustova, Evgeniya Konstantinovna Energy function for direct products of discrete dynamical systems. (Russian. English summary) Zbl 1538.37006 Zh. Sredn. Mat. Obshch. 25, No. 2, 11-21 (2023). MSC: 37B25 37B20 37C05 37C75 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Osipenko, George Computer-oriented tests for hyperbolicity and structural stability of dynamical system. (English) Zbl 1535.37038 Differ. Uravn. Protsessy Upr. 2023, No. 3, 22-50 (2023). MSC: 37D20 37C20 37D05 37D10 37C50 37B65 37E25 37M05 × Cite Format Result Cite Review PDF Full Text: Link
Barinova, M. K.; Grines, V. Z.; Pochinka, O. V. Criterion for the existence of an energy function for a regular homeomorphism of the 3-sphere. (English. Russian original) Zbl 1527.37019 Proc. Steklov Inst. Math. 321, 37-53 (2023); translation from Tr. Mat. Inst. Steklova 321, 45-61 (2023). MSC: 37C15 37C20 37C75 37C05 × Cite Format Result Cite Review PDF Full Text: DOI
Cánovas, Jose S.; Daghar, Aymen Topological sequence entropy and topological dynamics of tree maps. (English) Zbl 1517.37024 J. Math. Anal. Appl. 525, No. 1, Article ID 127133, 10 p. (2023). MSC: 37B40 37B20 37E25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Suhr, Stefan Smooth complete Lyapunov functions for multifunctions. (English) Zbl 1515.37027 J. Comput. Dyn. 10, No. 1, 199-209 (2023). MSC: 37C75 37B25 26B25 × Cite Format Result Cite Review PDF Full Text: DOI
Lalwani, Kushal Attractors and chain recurrence for semigroup of continuous maps. (English) Zbl 1526.37020 Adv. Pure Appl. Math. 13, No. 2, 43-56 (2022). MSC: 37B20 37B35 54C05 × Cite Format Result Cite Review PDF Full Text: DOI
Shekutkovski, Nikita; Shoptrajanov, Martin Morse decomposition and intrinsic shape in topological spaces. (English) Zbl 1524.37003 Methods Funct. Anal. Topol. 28, No. 2, 157-168 (2022). MSC: 37B02 37B20 37C10 54C56 37B25 × Cite Format Result Cite Review PDF Full Text: DOI
Barinova, Marina Konstantinovna; Shustova, Evgeniya Konstantinovna Dynamical properties of direct products of discrete dynamical systems. (Russian. English summary) Zbl 1524.37018 Zh. Sredn. Mat. Obshch. 24, No. 1, 21-30 (2022). MSC: 37C05 37B20 37D05 37B25 37B35 37C75 37E30 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Galkin, Vladislav Dmitrievich; Pochinka, Ol’ga Vital’evna Spherical flow diagram with finite hyperbolic chain-recurrent set. (Russian. English summary) Zbl 1524.37015 Zh. Sredn. Mat. Obshch. 24, No. 2, 132-140 (2022). MSC: 37B35 37D15 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Shoptrajanov, Martin A note on topological transitivity of the non-wandering set and the chain recurrent set. (English) Zbl 1511.37023 Mat. Bilt. 46, No. 1, 25-32 (2022). MSC: 37B20 37B25 37B05 × Cite Format Result Cite Review PDF Full Text: DOI
Lee, Manseob Inverse pseudo orbit tracing property for robust diffeomorphisms. (English) Zbl 1504.37031 Chaos Solitons Fractals 160, Article ID 112150, 7 p. (2022). MSC: 37C50 37D30 37D05 37B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Giesl, Peter; Hafstein, Sigurdur Freyr; Suhr, Stefan Existence of complete Lyapunov functions with prescribed orbital derivative. (English) Zbl 1510.34113 Discrete Contin. Dyn. Syst., Ser. B 27, No. 11, 6927-6941 (2022). MSC: 34D20 34D05 37C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alikhani-Koopaei, A.; Steele, T. H. Iterates of Borel functions. (English) Zbl 1505.37048 Topology Appl. 320, Article ID 108237, 10 p. (2022). MSC: 37E05 37B20 37B35 39B12 × Cite Format Result Cite Review PDF Full Text: DOI
Khan, Abdul Gaffar; Das, Pramod Kumar; Das, Tarun Sequential shadowing implies spectral decomposition. (English) Zbl 1503.37032 Topol. Proc. 60, 169-179 (2022). MSC: 37B20 37B65 37B05 × Cite Format Result Cite Review PDF Full Text: Link
Taflin, Johan On chain recurrence classes of endomorphisms of \(\mathbb{P}^k\). (English) Zbl 1518.32005 Proc. Am. Math. Soc. 150, No. 9, 3941-3951 (2022). Reviewer: Jasmin Raissy (Talence) MSC: 32H50 37F80 37B20 37F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Arosio, Leandro; Lárusson, Finnur Dynamics of generic endomorphisms of Oka-Stein manifolds. (English) Zbl 1495.32049 Math. Z. 300, No. 3, 2467-2484 (2022). Reviewer: Amedeo Altavilla (Ancona) MSC: 32H50 14R10 32M17 32Q28 32Q56 37F80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pochinka, Olga V.; Zinina, Svetlana Kh. Construction of the Morse-Bott energy function for regular topological flows. (English) Zbl 1484.37039 Regul. Chaotic Dyn. 26, No. 4, 350-369 (2021). MSC: 37D05 37B15 37B20 37B35 × Cite Format Result Cite Review PDF Full Text: DOI
Hafstein, Sigurdur; Suhr, Stefan Smooth complete Lyapunov functions for ODEs. (English) Zbl 1468.34085 J. Math. Anal. Appl. 499, No. 1, Article ID 125003, 15 p. (2021). Reviewer: Olusola Akinyele (Bowie) MSC: 34D20 × Cite Format Result Cite Review PDF Full Text: DOI
Medvedev, Timur V.; Pochinka, Olga V.; Zinina, Svetlana Kh. On existence of Morse energy function for topological flows. (English) Zbl 1461.37021 Adv. Math. 378, Article ID 107518, 16 p. (2021). Reviewer: Zdzisław Dzedzej (Gdańsk) MSC: 37B35 37B25 37B02 37B30 58E05 × Cite Format Result Cite Review PDF Full Text: DOI
Argáez, Carlos; Giesl, Peter; Hafstein, Sigurdur Evaluation of Lyapunov function candidates through averaging iterations. (English) Zbl 1530.93430 Gusikhin, Oleg (ed.) et al., ICINCO 2020. Proceedings of the 17th international conference on informatics in control, automation and robotics, virtual, July 7–9, 2020. Setúbal: SCITEPRESS – Science and Technology Publications. 734-744 (2020). MSC: 93D30 90C20 × Cite Format Result Cite Review PDF Full Text: DOI
Osipenko, G. S. Encodings of trajectories and invariant measures. (English. Russian original) Zbl 1451.37064 Sb. Math. 211, No. 7, 1041-1064 (2020); translation from Mat. Sb. 211, No. 7, 151-176 (2020). MSC: 37E25 37C50 37E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Koo, Ki-Shik Local expansivity and the limit shadowing property. (English) Zbl 1466.37018 J. Appl. Math. Inform. 38, No. 3-4, 249-254 (2020). MSC: 37B65 37B02 37B05 × Cite Format Result Cite Review PDF Full Text: DOI
Pochinka, O. V.; Zinina, S. Kh. A Morse energy function for topological flows with finite hyperbolic chain recurrent sets. (English. Russian original) Zbl 1445.37013 Math. Notes 107, No. 2, 313-321 (2020); translation from Mat. Zametki 107, No. 2, 276-285 (2020). Reviewer: Thomas B. Ward (Leeds) MSC: 37B35 37B25 37E30 × Cite Format Result Cite Review PDF Full Text: DOI
Lee, Manseob Robustly measure expansiveness for \(C^1\) vector fields. (English) Zbl 1446.37027 Quaest. Math. 43, No. 4, 569-582 (2020). Reviewer: Andrew Bucki (Edmond) MSC: 37C20 37C10 37C29 37D20 37D30 × Cite Format Result Cite Review PDF Full Text: DOI
Nia, Mehdi Fatehi Asymptotic average shadowing property and chain transitivity for multiple flow systems. (English) Zbl 1444.37016 Differ. Equ. Dyn. Syst. 28, No. 2, 325-336 (2020). MSC: 37B65 37B05 × Cite Format Result Cite Review PDF Full Text: DOI
Richter, Christian; Wirth, Melchior Tilings of convex sets by mutually incongruent equilateral triangles contain arbitrarily small tiles. (English) Zbl 1430.52028 Discrete Comput. Geom. 63, No. 1, 169-181 (2020). MSC: 52C20 05C81 51M20 60J10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Argáez, Carlos; Giesl, Peter; Hafstein, Sigurdur Clustering algorithm for generalized recurrences using complete Lyapunov functions. (English) Zbl 1531.93366 Gusikhin, Oleg (ed.) et al., ICINCO 2019. Proceedings of the 16th international conference on informatics in control, automation and robotics, Prague, Czech Republic, July 29–31, 2019. In 2 volumes. Setúbal: SCITEPRESS – Science and Technology Publications. 138-146, Vol. 1 (2019). MSC: 93D30 37J46 × Cite Format Result Cite Review PDF Full Text: DOI
Bernardi, Olga; Florio, Anna A Conley-type decomposition of the strong chain recurrent set. (English) Zbl 1512.37014 Ergodic Theory Dyn. Syst. 39, No. 5, 1261-1274 (2019). MSC: 37B02 37B05 37B20 37B30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Shoptrajanov, M. Localization of the chain recurrent set using shape theory and symbolical dynamics. (English) Zbl 1483.37026 Topol. Algebra Appl. 7, 13-28 (2019). MSC: 37B20 37B35 37B25 54C56 × Cite Format Result Cite Review PDF Full Text: DOI
Pochinka, O.; Zinina, S. Dynamics of topological flows and homeomorphisms with a finite hyperbolic chain-recurrent set on \(n\)-manifolds. (English) Zbl 1454.37031 Din. Sist., Simferopol’ 9(37), No. 3, 289-296 (2019). MSC: 37D15 37D05 37E30 37B35 × Cite Format Result Cite Review PDF
Lee, Manseob Continuum-wise expansive homoclinic classes for robust dynamical systems. (English) Zbl 1459.37020 Adv. Difference Equ. 2019, Paper No. 333, 12 p. (2019). MSC: 37C20 37D20 37C29 × Cite Format Result Cite Review PDF Full Text: DOI
Ji, Zhanjiang; Tan, Weiming; Su, Guangwang The research on \(G\)-chain point set in the metric \(G\)-space. (Chinese. English summary) Zbl 1463.37006 J. Sichuan Norm. Univ., Nat. Sci. 42, No. 4, 511-515 (2019). MSC: 37B35 37B20 37B02 × Cite Format Result Cite Review PDF Full Text: DOI
Alikhani-Koopaei, Aliasghar On chain recurrent sets of typical bounded Baire one functions. (English) Zbl 1410.26011 Topology Appl. 257, 1-10 (2019). Reviewer: George Stoica (Saint John) MSC: 26A18 37C25 × Cite Format Result Cite Review PDF Full Text: DOI
Ahmadi, Seyyed Alireza A recurrent set for one-dimensional dynamical systems. (English) Zbl 1397.54044 Hacet. J. Math. Stat. 47, No. 1, 1-7 (2018). MSC: 54H20 37B40 × Cite Format Result Cite Review PDF
Das, Ruchi; Das, Tarun; Shah, Sejal Bowen’s decomposition theorem for topologically Anosov homeomorphisms on noncompact and non-metrizable spaces. (English) Zbl 1394.37028 Commun. Korean Math. Soc. 33, No. 1, 337-344 (2018). MSC: 37B20 54H20 × Cite Format Result Cite Review PDF Full Text: DOI
Akin, Ethan; Rautio, Juho Chain transitive homeomorphisms on a space: all or none. (English) Zbl 1388.37018 Pac. J. Math. 291, No. 1, 1-49 (2017). Reviewer: Juan Luis García Guirao (Cartagena) MSC: 37B20 37B25 37B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Osipenko, George S. Lyapunov exponents and invariant measures on a projective bundle. (English. Russian original) Zbl 1372.37062 Math. Notes 101, No. 4, 666-676 (2017); translation from Mat. Zametki 101, No. 4, 549-561 (2017). MSC: 37D25 37C05 × Cite Format Result Cite Review PDF Full Text: DOI
De Rezende, Ketty A.; Villapouca, Mariana G. Discrete Conley index theory for zero dimensional basic sets. (English) Zbl 1392.37016 Discrete Contin. Dyn. Syst. 37, No. 3, 1359-1387 (2017). Reviewer: Roman Srzednicki (Kraków) MSC: 37B30 37B10 37B35 37C05 37C30 37D05 37D15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wiseman, Jim Generalized recurrence and the nonwandering set for products. (English) Zbl 1369.37018 Topology Appl. 219, 111-121 (2017). Reviewer: Ioannis Parissis (Bilbao) MSC: 37B20 37B05 37B35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sullivan, Michael C. Realizing full \(n\)-shifts in simple Smale flows. (English) Zbl 1393.37024 Topology Appl. 218, 19-29 (2017). Reviewer: Dieter Erle (Dortmund) MSC: 37C10 37D05 37D10 57M25 57M27 20F36 × Cite Format Result Cite Review PDF Full Text: DOI
Osipenko, G. S. Evaluation of the Lyapunov exponents through symbolic analysis methods. (Russian. English summary) Zbl 1382.37025 Din. Sist., Simferopol’ 6(34), No. 1, 15-35 (2016). MSC: 37C50 34D08 37M25 × Cite Format Result Cite Review PDF
Oprocha, Piotr Shadowing, thick sets and the Ramsey property. (English) Zbl 1367.37028 Ergodic Theory Dyn. Syst. 36, No. 5, 1582-1595 (2016). MSC: 37C50 37B20 05C55 × Cite Format Result Cite Review PDF Full Text: DOI
Thakkar, Dhaval; Das, Ruchi Spectral decomposition theorem in equicontinuous nonautonomous discrete dynamical systems. (English) Zbl 1350.54028 J. Difference Equ. Appl. 22, No. 5, 676-686 (2016). Reviewer: Antonio Linero Bas (Murcia) MSC: 54H20 37B55 × Cite Format Result Cite Review PDF Full Text: DOI
Miyaji, Tomoyuki; Pilarczyk, Paweł; Gameiro, Marcio; Kokubu, Hiroshi; Mischaikow, Konstantin A study of rigorous ODE integrators for multi-scale set-oriented computations. (English) Zbl 1382.65199 Appl. Numer. Math. 107, 34-47 (2016). MSC: 65L05 65G20 × Cite Format Result Cite Review PDF Full Text: DOI
Krupski, Paweł; Omiljanowski, Krzysztof; Ungeheuer, Konrad Chain recurrent sets of generic mappings on compact spaces. (English) Zbl 1378.54037 Topology Appl. 202, 251-268 (2016). Reviewer: Nikita Shekutkovski (Skopje) MSC: 54H20 37B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shekutkovski, N.; Shoptrajanov, M. Intrinsic shape of the chain recurrent set. (English) Zbl 1341.54021 Topology Appl. 202, 117-126 (2016). Reviewer: Juan Luis García Guirao (Cartagena) MSC: 54H20 54C56 37B20 37B25 × Cite Format Result Cite Review PDF Full Text: DOI
Fatehi Nia, M. The average shadowing property in continuous iterated function systems. (English) Zbl 1375.37073 J. Math. Ext. 9, No. 3, 87-96 (2015). MSC: 37C50 37C15 × Cite Format Result Cite Review PDF Full Text: Link
Cheban, David Relation between Levinson center, chain recurrent set and center of Birkhoff for compact dissipative dynamical systems. (English) Zbl 1376.37038 Bul. Acad. Ştiinţe Repub. Mold., Mat. 2015, No. 2(78), 42-60 (2015). MSC: 37B20 37B25 37B35 37B55 37L15 37L30 × Cite Format Result Cite Review PDF Full Text: Link
Shoptrajanov, Martin; Misajleski, Zoran; Markovski, Gorgi; Shekutkovski, Nikita Quasi components in dynamical systems. (English) Zbl 1342.37012 Math. Nat. Sci. 1, 51-56 (2015). MSC: 37B10 37B20 × Cite Format Result Cite Review PDF
Thakkar, Dhaval; Das, Ruchi Some properties of chain recurrent sets in a nonautonomous discrete dynamical system. (English) Zbl 1322.54024 Adv. Pure Appl. Math. 6, No. 3, 173-178 (2015). Reviewer: Thomas B. Ward (Durham) MSC: 54H20 37B55 × Cite Format Result Cite Review PDF Full Text: DOI
Shekutkovski, Nikita One property of components of a chain recurrent set. (English) Zbl 1322.54023 Regul. Chaotic Dyn. 20, No. 2, 184-188 (2015). Reviewer: Thomas B. Ward (Durham) MSC: 54H20 54C56 37B20 × Cite Format Result Cite Review PDF Full Text: DOI
Fathi, Albert; Pageault, Pierre Aubry-Mather theory for homeomorphisms. (English) Zbl 1343.37012 Ergodic Theory Dyn. Syst. 35, No. 4, 1187-1207 (2015). Reviewer: Zdzisław Dzedzej (Gdansk) MSC: 37B25 37B20 37B35 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Jun Two particles’ repelling random walks on the complete graph. (English) Zbl 1307.60048 Electron. J. Probab. 19, Paper No. 113, 17 p. (2014). MSC: 60G50 60K35 05C81 37C10 × Cite Format Result Cite Review PDF Full Text: DOI
Meddaugh, Jonathan; Raines, Brian E. The structure of limit sets for \(\mathbb{Z}^d\) actions. (English) Zbl 1351.37092 Discrete Contin. Dyn. Syst. 34, No. 11, 4765-4780 (2014). MSC: 37C50 37B10 37B20 54H20 × Cite Format Result Cite Review PDF Full Text: DOI
Nia, Mehdi Fatehi \(h\)-average-shadowing property and chaos. (English) Zbl 1312.37023 J. Dyn. Syst. Geom. Theor. 11, No. 1-2, 39-49 (2013). Reviewer: Kazuhiro Sakai (Utsunomiya) MSC: 37C50 37C15 37B10 37D45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lee, Manseob Diffeomorphisms with periodic shadowing. (English) Zbl 1417.37107 Int. J. Math. Anal., Ruse 7, No. 37-40, 1895-1898 (2013). MSC: 37C50 37C55 37C05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Yokoi, Katsuya Recurrence properties of a class of nonautonomous discrete systems. (English) Zbl 1373.37052 Bull. Belg. Math. Soc. - Simon Stevin 20, No. 4, 689-705 (2013). MSC: 37B55 37B20 39A10 37E05 × Cite Format Result Cite Review PDF Full Text: Euclid
Sakai, Kazuhiro Shadowable chain transitive sets. (English) Zbl 1364.37060 J. Difference Equ. Appl. 19, No. 10, 1601-1618 (2013). MSC: 37C50 37B20 37C29 37D20 37D30 × Cite Format Result Cite Review PDF Full Text: DOI
Meddaugh, Jonathan; Raines, Brian E. Shadowing and internal chain transitivity. (English) Zbl 1294.37008 Fundam. Math. 222, No. 3, 279-287 (2013). Reviewer: Krzysztof Leśniak (Torún) MSC: 37B50 37B10 37B20 54H20 37C50 × Cite Format Result Cite Review PDF Full Text: DOI Link
Das, Tarun; Lee, Keonhee; Lee, Manseob \(C^1\)-persistently continuum-wise expansive homoclinic classes and recurrent sets. (English) Zbl 1269.37018 Topology Appl. 160, No. 2, 350-359 (2013). MSC: 37D20 37D30 37C29 × Cite Format Result Cite Review PDF Full Text: DOI
Das, Tarun; Lee, Keonhee; Richeson, David; Wiseman, Jim Spectral decomposition for topologically Anosov homeomorphisms on noncompact and non-metrizable spaces. (English) Zbl 1293.37011 Topology Appl. 160, No. 1, 149-158 (2013). MSC: 37B20 37B25 37D20 37C50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mitryakova, T. M.; Pochinka, O. V.; Shishenkova, A. E. Energy function for diffeomorphisms on surfaces with finite hyperbolic chain recurrent set. (Russian. English summary) Zbl 1299.37016 Zh. Sredn. Mat. Obshch. 14, No. 1, 98-106 (2012). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 37C05 37C15 37B30 37B20 × Cite Format Result Cite Review PDF
Dvořáková, J. Stability of chain recurrent points of continuous maps on interval. (English) Zbl 1262.37010 J. Difference Equ. Appl. 18, No. 6, 1027-1031 (2012). Reviewer: Piotr Oprocha (Kraków) MSC: 37B20 37E05 26A18 × Cite Format Result Cite Review PDF Full Text: DOI
Crovisier, Sylvain Partial hyperbolicity far from homoclinic bifurcations. (English) Zbl 1215.37018 Adv. Math. 226, No. 1, 673-726 (2011). Reviewer: Dieter Erle (Dortmund) MSC: 37C05 37C20 37C29 37C50 37D25 37D30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Mai, Jie-Hua; Zhang, Geng-Rong; Liu, Xin-He Tree maps having chain movable fixed points. (English) Zbl 1206.54030 Topology Appl. 157, No. 16, 2572-2579 (2010). Reviewer: Mihai Turinici (Iaşi) MSC: 54F15 54H20 37B20 37E25 × Cite Format Result Cite Review PDF Full Text: DOI
Gan, Shaobo; Sakai, Kazuhiro; Wen, Lan \(C^1\)-stably weakly shadowing homoclinic classes admit dominated splittings. (English) Zbl 1195.37011 Discrete Contin. Dyn. Syst. 27, No. 1, 205-216 (2010). Reviewer: Juan Luis García Guirao (Cartagena) MSC: 37B20 37C29 37C50 37D20 37D30 × Cite Format Result Cite Review PDF Full Text: DOI
Park, Jong-Suh; Ku, Se-Hyun Characterizations on chain recurrences. (English) Zbl 1186.37019 Bull. Korean Math. Soc. 47, No. 2, 287-293 (2010). MSC: 37B20 54H20 × Cite Format Result Cite Review PDF Full Text: DOI
Malkin, M. I. Compactness of the chain-recurrent sets of polynomial maps. (Russian. English summary) Zbl 1199.37026 Tr. Sredn. Mat. Obshch. 10, No. 2, 144-154 (2008). Reviewer: Tatiana Mamedova (Saransk) MSC: 37C05 37F10 × Cite Format Result Cite Review PDF
Farber, M.; Schutz, D. Closed 1-forms in topology and dynamics. (English. Russian original) Zbl 1179.58005 Russ. Math. Surv. 63, No. 6, 1079-1139 (2008); translation from Usp. Mat. Nauk 63, No. 6, 91-156 (2008). Reviewer: Roman Srzednicki (Kraków) MSC: 58E05 58A10 37B35 37C29 55M30 57R30 57R70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lee, Keonhee; Moriyasu, Kazumine; Sakai, Kazuhiro \( C^1\)-stable shadowing diffeomorphisms. (English) Zbl 1153.37316 Discrete Contin. Dyn. Syst. 22, No. 3, 683-697 (2008). MSC: 37B20 37C29 37C50 37D20 37D30 37C75 × Cite Format Result Cite Review PDF Full Text: DOI
Sakai, Kazuhiro \(C^1\)-stably shadowable chain components for generic diffeomorphisms. (English) Zbl 1136.37010 Far East J. Dyn. Syst. 9, No. 3, 345-350 (2007). MSC: 37B20 37C29 37C50 37D20 37D30 × Cite Format Result Cite Review PDF
Liu, Zhenxin The random case of Conley’s theorem. II: The complete Lyapunov function. (English) Zbl 1124.37031 Nonlinearity 20, No. 4, 1017-1030 (2007). MSC: 37H05 37B35 37B25 37B30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Osipenko, George Dynamical systems, graphs, and algorithms. (English) Zbl 1130.37002 Lecture Notes in Mathematics 1889. Berlin: Springer (ISBN 978-3-540-35593-9/pbk). xii, 283 p. (2007). Reviewer: Jörg Härterich (Bochum) MSC: 37-02 37B10 37B40 37B25 37C25 37C50 37D05 37M25 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Xiaoxia; He, Zuguo The recurrence and the gradient-like structure of a flow. (English) Zbl 1099.37015 J. Appl. Math. Comput. 21, No. 1-2, 469-475 (2006). MSC: 37C10 37B20 37B35 × Cite Format Result Cite Review PDF Full Text: DOI
D’Aniello, Emma; Steele, T. H. Asymptotically stable sets and the stability of \(\omega\)-limit sets. (English) Zbl 1094.37009 J. Math. Anal. Appl. 321, No. 2, 867-879 (2006). MSC: 37B25 54H20 37B20 × Cite Format Result Cite Review PDF Full Text: DOI
Snoha, Ľubomír; Špitalský, Vladimír Recurrence equals uniform recurrence does not imply zero entropy for triangular maps of the square. (English) Zbl 1092.37006 Discrete Contin. Dyn. Syst. 14, No. 4, 821-835 (2006). MSC: 37B05 37B20 37B40 54H20 × Cite Format Result Cite Review PDF Full Text: DOI
Duarte, P.; Torres, M. J. Combinatorial stability of non-deterministic systems. (English) Zbl 1092.37015 Ergodic Theory Dyn. Syst. 26, No. 1, 93-128 (2006). Reviewer: Hans Crauel (Ilmenau) MSC: 37C15 26E25 37B20 37B55 37B99 54C60 58C06 × Cite Format Result Cite Review PDF Full Text: DOI Link
Oprocha, Piotr Topological approach to chain recurrence in continuous dynamical systems. (English) Zbl 1119.37015 Opusc. Math. 25, No. 2, 261-268 (2005). MSC: 37B20 37C50 37C70 × Cite Format Result Cite Review PDF Full Text: Link
Osipenko, G. S. Hyperbolicity test and structural stability. (English) Zbl 1102.37005 Dumortier, Freddy (ed.) et al., EQUADIFF 2003. Proceedings of the international conference on differential equations, Hasselt, Belgium, July 22–26, 2003. Hackensack, NJ: World Scientific (ISBN 981-256-169-2/hbk). 1117-1121 (2005). MSC: 37B10 37D20 37C20 39A12 58E05 37B20 × Cite Format Result Cite Review PDF
Kalies, W. D.; Mischaikow, K.; VanderVorst, R. C. A. M. An algorithmic approach to chain recurrence. (English) Zbl 1099.37010 Found. Comput. Math. 5, No. 4, 409-449 (2005). MSC: 37B35 37B20 37B25 37B30 37C70 37M99 × Cite Format Result Cite Review PDF Full Text: DOI
Farber, M.; Kappeler, T.; Latschev, J.; Zehnder, E. Lyapunov 1-forms for flows. (English) Zbl 1087.37012 Ergodic Theory Dyn. Syst. 24, No. 5, 1451-1475 (2004). MSC: 37B25 54H20 58E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Zhao, Junling Strong chain recurrent sets and strong shadowing property. (Chinese. English summary) Zbl 1066.37007 J. Math. Study 37, No. 3, 286-291 (2004). MSC: 37B20 37C50 × Cite Format Result Cite Review PDF
Huang, Tusen; Ding, Changming On a conjecture of Conley. (English) Zbl 1053.37003 Chaos Solitons Fractals 19, No. 4, 803-807 (2004). Reviewer: Messoud A. Efendiev (Berlin) MSC: 37B05 37B30 37B35 × Cite Format Result Cite Review PDF Full Text: DOI
Mizin, D. A. On the global structure of a dynamical system. (Russian. English summary) Zbl 1462.37021 Differ. Uravn. Protsessy Upr. 2002, No. 3, 84-107 (2002). MSC: 37C20 37C70 37M21 37M22 × Cite Format Result Cite Review PDF Full Text: Link
Chen, May-Ru; Li, Ming-Chia The limit sets of the Euler method with variable stepsizes. (English) Zbl 1068.65104 Far East J. Dyn. Syst. 4, No. 1, 17-25 (2002). MSC: 65L20 65L05 65L50 34D20 37C50 37D15 37D20 × Cite Format Result Cite Review PDF
Franks, John; Misiurewicz, Michał Topological methods in dynamics. (English) Zbl 1048.37001 Hasselblatt, B. (ed.) et al., Handbook of dynamical systems. Volume 1A. Amsterdam: North-Holland (ISBN 0-444-82669-6/hbk). 547-598 (2002). Reviewer: Roman Srzednicki (Kraków) MSC: 37-02 37B30 37C30 37D05 37E15 37B35 37B40 37E30 × Cite Format Result Cite Review PDF
Mimna, Roy A. Errata: Typical continuous functions are not chaotic in the sense of Devaney. (English) Zbl 1012.37010 Real Anal. Exch. 27(2001-2002), No. 1, 397-399 (2002). Reviewer: Victor Sharapov (Volgograd) MSC: 37B20 54H20 26A18 × Cite Format Result Cite Review PDF
Osipenko, George; Aytar, Salih; Kobyakov, Sergey The structure matrix of dynamical system. (English) Zbl 1462.37013 Differ. Uravn. Protsessy Upr. 2001, No. 2, 32-45 (2001). MSC: 37B20 37C20 × Cite Format Result Cite Review PDF Full Text: Link
Osipenko, George Calculation of Lyapunov exponents by applied symbolic dynamics methods. (English) Zbl 1067.37009 Int. J. Nonlinear Sci. Numer. Simul. 2, No. 1, 53-72 (2001). MSC: 37B10 37D25 34D08 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Yong On the average-shadowing property. (English) Zbl 1022.37017 Acta Sci. Nat. Univ. Pekin. 37, No. 5, 648-651 (2001). MSC: 37C50 37B35 37D20 × Cite Format Result Cite Review PDF
Yang, Runsheng Topological Anosov maps of non-compact metric spaces. (English) Zbl 1015.54020 Northeast. Math. J. 17, No. 1, 120-126 (2001). MSC: 54H20 37B99 37D20 × Cite Format Result Cite Review PDF
Dellnitz, Michael; Froyland, Gary; Junge, Oliver The algorithms behind GAIO – set oriented numerical methods for dynamical systems. (English) Zbl 0998.65126 Fiedler, Bernold (ed.), Ergodic theory, analysis, and efficient simulation of dynamical systems. Berlin: Springer. 145-174, 805-807 (2001). MSC: 65P40 37C70 37M25 37C15 37C40 37C50 × Cite Format Result Cite Review PDF
Choi, Taeyoung; Lee, Keonhee Chaotic behaviour of chain components in bishadowing systems. (English) Zbl 0996.37023 J. Korean Math. Soc. 38, No. 3, 613-621 (2001). Reviewer: Sergei Yu.Pilyugin (St.Peterburg) MSC: 37C50 37D45 × Cite Format Result Cite Review PDF
Mimna, Roy A. Typical continuous functions are not chaotic in the sense of Devaney. (English) Zbl 1012.37009 Real Anal. Exch. 25(1999-2000), No. 2, 947-953 (2000). Reviewer: Victor Sharapov (Volgograd) MSC: 37B20 54H20 26A18 × Cite Format Result Cite Review PDF
Mazur, Marcin Topological transitivity of the chain recurrent set implies topological transitivity of the whole space. (English) Zbl 1006.35007 Zesz. Nauk. Uniw. Jagiell. 1245, Univ. Iagell. Acta Math. 38, 219-226 (2000). Reviewer: Jerzy Ombach (Krakow) MSC: 35B20 54H20 37B35 × Cite Format Result Cite Review PDF
Zheng, Zuohuan Attractor, chain recurrent set and limit set of flow. (English) Zbl 0984.37014 Sci. China, Ser. A 43, No. 3, 244-251 (2000). Reviewer: Messoud Efendiev (Berlin) MSC: 37B20 37L30 × Cite Format Result Cite Review PDF Full Text: DOI