Barge, Héctor; Sánchez-Gabites, J. J. Knotted toroidal sets, attractors and incompressible surfaces. (English) Zbl 07815191 Sel. Math., New Ser. 30, No. 2, Paper No. 32, 22 p. (2024). MSC: 37-XX 57K99 37B35 37E99 55N99 PDFBibTeX XMLCite \textit{H. Barge} and \textit{J. J. Sánchez-Gabites}, Sel. Math., New Ser. 30, No. 2, Paper No. 32, 22 p. (2024; Zbl 07815191) Full Text: DOI arXiv OA License
Zelik, Sergey V. Attractors. Then and now. (English) Zbl 07794505 Russ. Math. Surv. 78, No. 4, 635-777 (2023); and Usp. Mat. Nauk 78, No. 4, 53-198 (2023). MSC: 35-02 35B41 37L30 PDFBibTeX XMLCite \textit{S. V. Zelik}, Russ. Math. Surv. 78, No. 4, 635--777 (2023; Zbl 07794505) Full Text: DOI arXiv MNR
Barge, Héctor; Sanjurjo, José M. R. The topology of dissipative systems. (English) Zbl 07763420 Hujdurović, Ademir (ed.) et al., European congress of mathematics. Proceedings of the 8th congress, 8ECM, Portorož, Slovenia, June 20–26, 2021. Berlin: European Mathematical Society (EMS). 907-925 (2023). MSC: 37B35 37B30 37C20 37C70 37C10 PDFBibTeX XMLCite \textit{H. Barge} and \textit{J. M. R. Sanjurjo}, in: European congress of mathematics. Proceedings of the 8th congress, 8ECM, Portorož, Slovenia, June 20--26, 2021. Berlin: European Mathematical Society (EMS). 907--925 (2023; Zbl 07763420) Full Text: DOI
Wójcik, Klaudiusz Nested set of periodic segments. (English) Zbl 07742456 Topology Appl. 339, Part A, Article ID 108592, 16 p. (2023). Reviewer: Zdzisław Dzedzej (Gdańsk) MSC: 37B30 37C60 37B10 37C15 34C28 34A26 PDFBibTeX XMLCite \textit{K. Wójcik}, Topology Appl. 339, Part A, Article ID 108592, 16 p. (2023; Zbl 07742456) Full Text: DOI
Hernández-Corbato, Luis; Nieves-Rivera, David Jesús; Ruiz del Portal, Francisco R.; Sánchez-Gabites, Jaime J. On the components of the unstable set of isolated invariant sets. (English) Zbl 07742445 Topology Appl. 339, Part A, Article ID 108581, 22 p. (2023). Reviewer: Zdzisław Dzedzej (Gdańsk) MSC: 37B35 37B30 55N05 PDFBibTeX XMLCite \textit{L. Hernández-Corbato} et al., Topology Appl. 339, Part A, Article ID 108581, 22 p. (2023; Zbl 07742445) Full Text: DOI
Chocano, Pedro J.; Mondéjar Ruiz, Diego; Morón, Manuel A.; Ruiz del Portal, Francisco R. On the triviality of flows in Alexandroff spaces. (English) Zbl 1527.54078 Topology Appl. 339, Part A, Article ID 108580, 5 p. (2023). MSC: 54H99 54B20 06A06 37B02 PDFBibTeX XMLCite \textit{P. J. Chocano} et al., Topology Appl. 339, Part A, Article ID 108580, 5 p. (2023; Zbl 1527.54078) Full Text: DOI arXiv
Ortega, Rafael; Ruiz-Herrera, Alfonso Prime ends dynamics on invariant Peano continua. (English) Zbl 07742433 Topology Appl. 339, Part A, Article ID 108569, 12 p. (2023). Reviewer: Steve Pederson (Atlanta) MSC: 37E30 37B45 PDFBibTeX XMLCite \textit{R. Ortega} and \textit{A. Ruiz-Herrera}, Topology Appl. 339, Part A, Article ID 108569, 12 p. (2023; Zbl 07742433) Full Text: DOI
Boroński, J.; Minc, P.; Štimac, S. On conjugacy of natural extensions of one-dimensional maps. (English) Zbl 07732813 Ergodic Theory Dyn. Syst. 43, No. 9, 2915-2937 (2023). MSC: 37E05 37B45 54F50 PDFBibTeX XMLCite \textit{J. Boroński} et al., Ergodic Theory Dyn. Syst. 43, No. 9, 2915--2937 (2023; Zbl 07732813) Full Text: DOI arXiv
Lipiński, Michał; Kubica, Jacek; Mrozek, Marian; Wanner, Thomas Conley-Morse-Forman theory for generalized combinatorial multivector fields on finite topological spaces. (English) Zbl 07716160 J. Appl. Comput. Topol. 7, No. 2, 139-184 (2023). Reviewer: Dorin Andrica (Riyadh) MSC: 37B30 37B35 37E15 58J20 57Q05 57Q15 57Q70 PDFBibTeX XMLCite \textit{M. Lipiński} et al., J. Appl. Comput. Topol. 7, No. 2, 139--184 (2023; Zbl 07716160) Full Text: DOI arXiv
Chocano, Pedro J. On the dynamics of the combinatorial model of the real line. (English) Zbl 07716047 Dyn. Syst. 38, No. 3, 395-404 (2023). MSC: 06A07 37B02 37E15 PDFBibTeX XMLCite \textit{P. J. Chocano}, Dyn. Syst. 38, No. 3, 395--404 (2023; Zbl 07716047) Full Text: DOI arXiv
Činč, Jernej; Oprocha, Piotr Parametrized family of pseudo-arc attractors: physical measures and prime end rotations. (English) Zbl 1527.37045 Proc. Lond. Math. Soc. (3) 125, No. 2, 318-357 (2022). MSC: 37E30 37E45 37E10 37A05 37C70 37D45 PDFBibTeX XMLCite \textit{J. Činč} and \textit{P. Oprocha}, Proc. Lond. Math. Soc. (3) 125, No. 2, 318--357 (2022; Zbl 1527.37045) Full Text: DOI arXiv OA License
Shoptrajanov, Martin A dynamical approach to shape. (English) Zbl 07740325 Proc. Int. Geom. Cent. 15, No. 1, 16-31 (2022). MSC: 54C56 37B20 37B25 PDFBibTeX XMLCite \textit{M. Shoptrajanov}, Proc. Int. Geom. Cent. 15, No. 1, 16--31 (2022; Zbl 07740325) Full Text: DOI
Barge, Héctor; Sanjurjo, José M. R. Higher dimensional topology and generalized Hopf bifurcations for discrete dynamical systems. (English) Zbl 1500.37040 Discrete Contin. Dyn. Syst. 42, No. 6, 2585-2601 (2022). Reviewer: Valery A. Gaiko (Minsk) MSC: 37G35 37B35 37C70 39A28 PDFBibTeX XMLCite \textit{H. Barge} and \textit{J. M. R. Sanjurjo}, Discrete Contin. Dyn. Syst. 42, No. 6, 2585--2601 (2022; Zbl 1500.37040) Full Text: DOI arXiv
Wang, Jintao; Li, Desheng; Duan, Jinqiao Compactly generated shape index theory and its application to a retarded nonautonomous parabolic equation. (English) Zbl 1501.37018 Topol. Methods Nonlinear Anal. 59, No. 1, 1-33 (2022). Reviewer: Leonard R. Rubin (Norman) MSC: 37B30 37B25 37C10 54C56 55P55 PDFBibTeX XMLCite \textit{J. Wang} et al., Topol. Methods Nonlinear Anal. 59, No. 1, 1--33 (2022; Zbl 1501.37018) Full Text: DOI arXiv
Ruiz-Herrera, Alfonso Attraction in nonmonotone planar systems and real-life models. (English) Zbl 1525.37044 J. Dyn. Differ. Equations 34, No. 2, 919-943 (2022). MSC: 37E30 37C65 37C75 37N25 PDFBibTeX XMLCite \textit{A. Ruiz-Herrera}, J. Dyn. Differ. Equations 34, No. 2, 919--943 (2022; Zbl 1525.37044) Full Text: DOI
Rabanal, Roland An eigenvalue condition and the equivalence of two-dimensional maps. (English) Zbl 1505.37055 J. Difference Equ. Appl. 28, No. 4, 578-589 (2022). Reviewer: Francisco Balibrea (Murcia) MSC: 37E30 37C15 37C25 37C75 37C05 37C70 26B10 PDFBibTeX XMLCite \textit{R. Rabanal}, J. Difference Equ. Appl. 28, No. 4, 578--589 (2022; Zbl 1505.37055) Full Text: DOI
Graff, Grzegorz; Gulgowski, Jacek; Lebiedź, Małgorzata Generalized Dold sequences on partially-ordered sets. (English) Zbl 1497.11050 Electron. J. Comb. 29, No. 1, Research Paper P1.25, 20 p. (2022). Reviewer: Thomas B. Ward (Newcastle) MSC: 11B50 05A10 37C25 37P35 55M20 PDFBibTeX XMLCite \textit{G. Graff} et al., Electron. J. Comb. 29, No. 1, Research Paper P1.25, 20 p. (2022; Zbl 1497.11050) Full Text: DOI
Shoptrajanov, Martin; Shekutkovski, Nikita Semiflows and intrinsic shape in topological spaces. (English) Zbl 1491.37022 Glas. Mat., III. Ser. 56, No. 2, 375-390 (2021). MSC: 37B35 37B25 54C56 PDFBibTeX XMLCite \textit{M. Shoptrajanov} and \textit{N. Shekutkovski}, Glas. Mat., III. Ser. 56, No. 2, 375--390 (2021; Zbl 1491.37022) Full Text: DOI
Byszewski, Jakub; Graff, Grzegorz; Ward, Thomas Dold sequences, periodic points, and dynamics. (English) Zbl 1504.11038 Bull. Lond. Math. Soc. 53, No. 5, 1263-1298 (2021). Reviewer: Chao Liu (Memphis) MSC: 11B50 37C25 47H10 55M20 PDFBibTeX XMLCite \textit{J. Byszewski} et al., Bull. Lond. Math. Soc. 53, No. 5, 1263--1298 (2021; Zbl 1504.11038) Full Text: DOI arXiv
Barge, Héctor Čech cohomology, homoclinic trajectories and robustness of non-saddle sets. (English) Zbl 1470.37025 Discrete Contin. Dyn. Syst. 41, No. 6, 2677-2698 (2021). MSC: 37B25 37B35 55N05 PDFBibTeX XMLCite \textit{H. Barge}, Discrete Contin. Dyn. Syst. 41, No. 6, 2677--2698 (2021; Zbl 1470.37025) Full Text: DOI arXiv
Barge, Héctor; Sanjurjo, José M. R. A Conley index study of the evolution of the Lorenz strange set. (English) Zbl 1453.37018 Physica D 401, Article ID 132162, 11 p. (2020). MSC: 37B30 34C45 37C10 34D45 34C28 PDFBibTeX XMLCite \textit{H. Barge} and \textit{J. M. R. Sanjurjo}, Physica D 401, Article ID 132162, 11 p. (2020; Zbl 1453.37018) Full Text: DOI arXiv
Iglesias, J.; Portela, A.; Rovella, A.; Xavier, J. Sphere branched coverings and the growth rate inequality. (English) Zbl 1469.37034 Nonlinearity 33, No. 9, 4613-4626 (2020). Reviewer: Lorena Armas-Sanabria (Ciudad de México) MSC: 37E30 37E10 37F10 37C25 57K20 57M12 PDFBibTeX XMLCite \textit{J. Iglesias} et al., Nonlinearity 33, No. 9, 4613--4626 (2020; Zbl 1469.37034) Full Text: DOI arXiv
Shekutkovski, Nikita; Shoptrajanov, Martin Intrinsic shape property of global attractors in metrizable spaces. (English) Zbl 1446.37018 Russ. J. Nonlinear Dyn. 16, No. 1, 181-194 (2020). MSC: 37B35 37B02 37B25 PDFBibTeX XMLCite \textit{N. Shekutkovski} and \textit{M. Shoptrajanov}, Russ. J. Nonlinear Dyn. 16, No. 1, 181--194 (2020; Zbl 1446.37018) Full Text: DOI MNR
Barge, Héctor; Giraldo, Antonio; Sanjurjo, José M. R. Bifurcations, robustness and shape of attractors of discrete dynamical systems. (English) Zbl 1434.37015 J. Fixed Point Theory Appl. 22, No. 2, Paper No. 29, 13 p. (2020). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37C70 37E30 37G35 37C20 37B25 28A80 55N05 PDFBibTeX XMLCite \textit{H. Barge} et al., J. Fixed Point Theory Appl. 22, No. 2, Paper No. 29, 13 p. (2020; Zbl 1434.37015) Full Text: DOI arXiv
Hernández-Corbato, Luis; Ruiz del Portal, Francisco R.; Sánchez-Gabites, J. J. Infinite series in cohomology: attractors and Conley index. (English) Zbl 1441.37018 Math. Z. 294, No. 3-4, 1127-1180 (2020). Reviewer: Zdzisław Dzedzej (Gdansk) MSC: 37B30 37C25 37B35 37B45 54H25 55M20 PDFBibTeX XMLCite \textit{L. Hernández-Corbato} et al., Math. Z. 294, No. 3--4, 1127--1180 (2020; Zbl 1441.37018) Full Text: DOI arXiv
Barge, Héctor; Sanjurjo, José M. R. Dissonant points and the region of influence of non-saddle sets. (English) Zbl 1439.37027 J. Differ. Equations 268, No. 9, 5329-5352 (2020). Reviewer: Matheus Cheque Bortolan (Florianópolis) MSC: 37C70 37C20 37C15 37C75 37C29 37B30 PDFBibTeX XMLCite \textit{H. Barge} and \textit{J. M. R. Sanjurjo}, J. Differ. Equations 268, No. 9, 5329--5352 (2020; Zbl 1439.37027) Full Text: DOI arXiv
Ruiz del Portal, Francisco R. Stable sets of planar homeomorphisms with translation pseudo-arcs. (English) Zbl 1446.37043 Discrete Contin. Dyn. Syst., Ser. S 12, No. 8, 2379-2390 (2019). Reviewer: Luis Hernández Corbato (Madrid) MSC: 37E30 37C75 37C79 37C25 54H25 PDFBibTeX XMLCite \textit{F. R. Ruiz del Portal}, Discrete Contin. Dyn. Syst., Ser. S 12, No. 8, 2379--2390 (2019; Zbl 1446.37043) Full Text: DOI
Graff, Grzegorz; Misiurewicz, Michał; Nowak-Przygodzki, Piotr Periodic points for sphere maps preserving monopole foliations. (English) Zbl 1429.37019 Qual. Theory Dyn. Syst. 18, No. 2, 533-546 (2019). Reviewer: David B. Gauld (Auckland) MSC: 37C86 37E30 37C25 37C05 53C12 57R30 PDFBibTeX XMLCite \textit{G. Graff} et al., Qual. Theory Dyn. Syst. 18, No. 2, 533--546 (2019; Zbl 1429.37019) Full Text: DOI
Graff, Grzegorz; Lebiedź, Małgorzata; Myszkowski, Adrian Periodic expansion in determining minimal sets of Lefschetz periods for Morse-Smale diffeomorphisms. (English) Zbl 1431.37033 J. Fixed Point Theory Appl. 21, No. 2, Paper No. 47, 21 p. (2019). Reviewer: Mohammad Reza Molaei (Kerman) MSC: 37D15 37C25 37E15 37C30 37D40 PDFBibTeX XMLCite \textit{G. Graff} et al., J. Fixed Point Theory Appl. 21, No. 2, Paper No. 47, 21 p. (2019; Zbl 1431.37033) Full Text: DOI
Ruiz del Portal, Francisco R.; Salazar, José M. Isolating blocks of isolated invariant continua and fixed point index. (English) Zbl 1426.37017 J. Fixed Point Theory Appl. 21, No. 1, Paper No. 27, 20 p. (2019). Reviewer: Héctor Barge (Madrid) MSC: 37B45 37C25 37B30 54H25 PDFBibTeX XMLCite \textit{F. R. Ruiz del Portal} and \textit{J. M. Salazar}, J. Fixed Point Theory Appl. 21, No. 1, Paper No. 27, 20 p. (2019; Zbl 1426.37017) Full Text: DOI
Honorato, Gerardo; Iglesias, Jorge; Portela, Aldo; Rovella, Alvaro; Valenzuela, Francisco; Xavier, Juliana On the growth rate inequality for periodic points in the two sphere. (English) Zbl 1450.37019 J. Difference Equ. Appl. 25, No. 2, 219-232 (2019). MSC: 37C25 37E20 37C35 37C05 37B20 PDFBibTeX XMLCite \textit{G. Honorato} et al., J. Difference Equ. Appl. 25, No. 2, 219--232 (2019; Zbl 1450.37019) Full Text: DOI arXiv
Barge, Héctor; Sanjurjo, José M. R. Dissipative flows, global attractors and shape theory. (English) Zbl 1414.37013 Topology Appl. 258, 392-401 (2019). Reviewer: David Cheban (Chisinau) MSC: 37C70 37G35 37B30 37C20 PDFBibTeX XMLCite \textit{H. Barge} and \textit{J. M. R. Sanjurjo}, Topology Appl. 258, 392--401 (2019; Zbl 1414.37013) Full Text: DOI arXiv Link
Graff, Grzegorz; Lebiedź, Małgorzata; Nowak-Przygodzki, Piotr Generating sequences of Lefschetz numbers of iterates. (English) Zbl 1475.37012 Monatsh. Math. 188, No. 3, 511-525 (2019). MSC: 37A44 37C25 11B50 PDFBibTeX XMLCite \textit{G. Graff} et al., Monatsh. Math. 188, No. 3, 511--525 (2019; Zbl 1475.37012) Full Text: DOI
Extremiana Aldana, José Ignacio; Hernández Paricio, Luis Javier; Rivas Rodríguez, María Teresa Self-overlays and symmetries of Julia sets of expanding maps. (English) Zbl 1415.57003 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 112, No. 3, 829-848 (2018). Reviewer: José Calcines (La Laguna) MSC: 57M12 54C56 37F50 PDFBibTeX XMLCite \textit{J. I. Extremiana Aldana} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 112, No. 3, 829--848 (2018; Zbl 1415.57003) Full Text: DOI
Barge, Héctor; Sanjurjo, José M. R. Flows in \(\mathbb {R}^2_+\) without interior fixed points, global attractors and bifurcations. (English) Zbl 1395.37014 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 112, No. 3, 671-683 (2018). MSC: 37C05 37C70 37C25 37C75 37C10 PDFBibTeX XMLCite \textit{H. Barge} and \textit{J. M. R. Sanjurjo}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 112, No. 3, 671--683 (2018; Zbl 1395.37014) Full Text: DOI
Graff, Grzegorz; Misiurewicz, Michał; Nowak-Przygodzki, Piotr Shub’s conjecture for smooth longitudinal maps of \(S^m\). (English) Zbl 1394.37038 J. Difference Equ. Appl. 24, No. 7, 1044-1054 (2018). MSC: 37C25 37E30 55M20 37C05 PDFBibTeX XMLCite \textit{G. Graff} et al., J. Difference Equ. Appl. 24, No. 7, 1044--1054 (2018; Zbl 1394.37038) Full Text: DOI Link
Graff, Grzegorz Fixed point indices of iterates of a low-dimensional diffeomorphism at a fixed point which is an isolated invariant set. (English) Zbl 1394.37037 Arch. Math. 110, No. 6, 617-627 (2018). Reviewer: George Stoica (Saint John) MSC: 37C25 55M20 37C05 PDFBibTeX XMLCite \textit{G. Graff}, Arch. Math. 110, No. 6, 617--627 (2018; Zbl 1394.37037) Full Text: DOI
Barge, Héctor; Sanjurjo, José M. R. Bifurcations and attractor-repeller splittings of non-saddle sets. (English) Zbl 1385.37035 J. Dyn. Differ. Equations 30, No. 1, 257-272 (2018). MSC: 37C75 37C20 37C15 37C25 PDFBibTeX XMLCite \textit{H. Barge} and \textit{J. M. R. Sanjurjo}, J. Dyn. Differ. Equations 30, No. 1, 257--272 (2018; Zbl 1385.37035) Full Text: DOI
Fernández Cestau, Jaime Martín; Hernández Paricio, Luis Javier; Rivas Rodríguez, María Teresa Prolongations, suspensions and telescopes. (English) Zbl 1391.18009 Appl. Categ. Struct. 25, No. 5, 709-745 (2017). Reviewer: Osman Mucuk (Kayseri) MSC: 18D20 18A25 37B99 54H20 PDFBibTeX XMLCite \textit{J. M. Fernández Cestau} et al., Appl. Categ. Struct. 25, No. 5, 709--745 (2017; Zbl 1391.18009) Full Text: DOI
Wójcik, Klaudiusz Fixed points of the area preserving Poincaré maps on two-manifolds. (English) Zbl 1379.37102 Proc. Am. Math. Soc. 145, No. 12, 5223-5233 (2017). MSC: 37J10 37J45 34C25 37B30 PDFBibTeX XMLCite \textit{K. Wójcik}, Proc. Am. Math. Soc. 145, No. 12, 5223--5233 (2017; Zbl 1379.37102) Full Text: DOI
Wójcik, Klaudiusz Periodic points of the planar area preserving Poincaré map inside isolating segment. (English) Zbl 1373.37044 J. Math. Anal. Appl. 455, No. 2, 905-922 (2017). MSC: 37B30 34C25 37J45 PDFBibTeX XMLCite \textit{K. Wójcik}, J. Math. Anal. Appl. 455, No. 2, 905--922 (2017; Zbl 1373.37044) Full Text: DOI
Blanco Gómez, Eduardo; Hernández-Corbato, Luis; Ruiz del Portal, Francisco R. Uniqueness of dynamical zeta functions and symmetric products. (English) Zbl 1375.37068 J. Fixed Point Theory Appl. 18, No. 4, 689-719 (2016). MSC: 37C30 55M20 PDFBibTeX XMLCite \textit{E. Blanco Gómez} et al., J. Fixed Point Theory Appl. 18, No. 4, 689--719 (2016; Zbl 1375.37068) Full Text: DOI arXiv Link
Ortega, Rafael Translation arcs and stability in two dimensions. (English) Zbl 1355.39009 Alsedà i Soler, Lluís (ed.) et al., Difference equations, discrete dynamical systems and applications, ICDEA, Barcelona, Spain, July 23–27, 2012. Proceedings of the 18th international conference. Berlin: Springer (ISBN 978-3-662-52926-3/hbk; 978-3-662-52927-0/ebook). Springer Proceedings in Mathematics & Statistics 180, 201-221 (2016). MSC: 39A12 39A10 34A34 37C10 PDFBibTeX XMLCite \textit{R. Ortega}, Springer Proc. Math. Stat. 180, 201--221 (2016; Zbl 1355.39009) Full Text: DOI
Barge, Héctor Regular blocks and Conley index of isolated invariant continua in surfaces. (English) Zbl 1376.37041 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 146, 100-119 (2016). MSC: 37B30 37G35 58J20 PDFBibTeX XMLCite \textit{H. Barge}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 146, 100--119 (2016; Zbl 1376.37041) Full Text: DOI arXiv
Graff, Grzegorz; Misiurewicz, Michał; Nowak-Przygodzki, Piotr Periodic points of latitudinal maps of the \(m\)-dimensional sphere. (English) Zbl 1370.37045 Discrete Contin. Dyn. Syst. 36, No. 11, 6187-6199 (2016). Reviewer: Christian Fenske (Gießen) MSC: 37C25 55M25 PDFBibTeX XMLCite \textit{G. Graff} et al., Discrete Contin. Dyn. Syst. 36, No. 11, 6187--6199 (2016; Zbl 1370.37045) Full Text: DOI
Wang, Jintao; Li, Desheng; Duan, Jinqiao On the shape Conley index theory of semiflows on complete metric spaces. (English) Zbl 1341.37007 Discrete Contin. Dyn. Syst. 36, No. 3, 1629-1647 (2016). Reviewer: Zdzisław Dzedzej (Gdansk) MSC: 37B30 37C75 PDFBibTeX XMLCite \textit{J. Wang} et al., Discrete Contin. Dyn. Syst. 36, No. 3, 1629--1647 (2016; Zbl 1341.37007) Full Text: DOI
Sánchez-Gabites, J. J. Arcs, balls and spheres that cannot be attractors in \(\mathbb R^3\). (English) Zbl 1342.54024 Trans. Am. Math. Soc. 368, No. 5, 3591-3627 (2016). Reviewer: Juan Luis García Guirao (Cartagena) MSC: 54H20 37B25 37E99 PDFBibTeX XMLCite \textit{J. J. Sánchez-Gabites}, Trans. Am. Math. Soc. 368, No. 5, 3591--3627 (2016; Zbl 1342.54024) Full Text: DOI arXiv
Ruiz del Portal, Francisco R.; Hernández-Corbato, Luis Fixed point indices of planar continuous maps. (English) Zbl 1366.37033 Discrete Contin. Dyn. Syst. 35, No. 7, 2979-2995 (2015). MSC: 37B30 37C25 37C30 54H25 PDFBibTeX XMLCite \textit{F. R. Ruiz del Portal} and \textit{L. Hernández-Corbato}, Discrete Contin. Dyn. Syst. 35, No. 7, 2979--2995 (2015; Zbl 1366.37033) Full Text: DOI arXiv
Matsumoto, Shigenori Nontrivial attractor-repellor maps of \(S^2\) and rotation numbers. (English) Zbl 1351.37180 J. Math. Soc. Japan 67, No. 2, 477-501 (2015). MSC: 37E30 37E45 PDFBibTeX XMLCite \textit{S. Matsumoto}, J. Math. Soc. Japan 67, No. 2, 477--501 (2015; Zbl 1351.37180) Full Text: DOI arXiv Euclid
Koropecki, Andres; Le Calvez, Patrice; Nassiri, Meysam Prime ends rotation numbers and periodic points. (English) Zbl 1382.37043 Duke Math. J. 164, No. 3, 403-472 (2015). MSC: 37E30 37E45 30D40 37A05 37B45 30D05 PDFBibTeX XMLCite \textit{A. Koropecki} et al., Duke Math. J. 164, No. 3, 403--472 (2015; Zbl 1382.37043) Full Text: DOI arXiv Euclid
Barge, Héctor; Sanjurjo, José M. R. Unstable manifold, Conley index and fixed points of flows. (English) Zbl 1304.37017 J. Math. Anal. Appl. 420, No. 1, 835-851 (2014). Reviewer: Christian Fenske (Gießen) MSC: 37B30 54H20 PDFBibTeX XMLCite \textit{H. Barge} and \textit{J. M. R. Sanjurjo}, J. Math. Anal. Appl. 420, No. 1, 835--851 (2014; Zbl 1304.37017) Full Text: DOI
Giraldo, Antonio; Laguna, Víctor F.; Sanjurjo, José M. R. Uniform persistence and Hopf bifurcations in \(\mathbb R_+^n\). (English) Zbl 1332.37015 J. Differ. Equations 256, No. 8, 2949-2964 (2014). Reviewer: Marcin Kulczycki (Kraków) MSC: 37B25 37C70 37G35 PDFBibTeX XMLCite \textit{A. Giraldo} et al., J. Differ. Equations 256, No. 8, 2949--2964 (2014; Zbl 1332.37015) Full Text: DOI
Hernández-Corbato, Luis; Le Calvez, Patrice; Ruiz Del Portal, Francisco R. About the homological discrete Conley index of isolated invariant acyclic continua. (English) Zbl 1291.37021 Geom. Topol. 17, No. 5, 2977-3026 (2013). Reviewer: Thomas J. Bartsch (Gießen) MSC: 37B30 37C25 54H25 PDFBibTeX XMLCite \textit{L. Hernández-Corbato} et al., Geom. Topol. 17, No. 5, 2977--3026 (2013; Zbl 1291.37021) Full Text: DOI arXiv
Graff, Grzegorz; Jezierski, Jerzy Combinatorial scheme of finding minimal number of periodic points for smooth self-maps of simply connected manifolds. (English) Zbl 1276.55005 J. Fixed Point Theory Appl. 13, No. 1, 63-84 (2013). Reviewer: Christian Fenske (Gießen) MSC: 55M20 37C25 PDFBibTeX XMLCite \textit{G. Graff} and \textit{J. Jezierski}, J. Fixed Point Theory Appl. 13, No. 1, 63--84 (2013; Zbl 1276.55005) Full Text: DOI
Andres, Jan; Rypka, Miposlav Multivalued fractals and hyperfractals. (English) Zbl 1270.28005 Int. J. Bifurcation Chaos Appl. Sci. Eng. 22, No. 1, Article ID 1250009, 27 p. (2012). MSC: 28A80 37C40 47N20 PDFBibTeX XMLCite \textit{J. Andres} and \textit{M. Rypka}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 22, No. 1, Article ID 1250009, 27 p. (2012; Zbl 1270.28005) Full Text: DOI
Hernández-Corbato, Luis; Ortega, Rafael; Ruiz del Portal, Francisco R. Attractors with irrational rotation number. (English) Zbl 1267.37040 Math. Proc. Camb. Philos. Soc. 153, No. 1, 59-77 (2012). Reviewer: Franco Vivaldi (London) MSC: 37E45 37E30 37C70 30D40 37E10 PDFBibTeX XMLCite \textit{L. Hernández-Corbato} et al., Math. Proc. Camb. Philos. Soc. 153, No. 1, 59--77 (2012; Zbl 1267.37040) Full Text: DOI
Graff, Grzegorz; Kaczkowska, Agnieszka; Nowak-Przygodzki, Piotr; Signerska, Justyna Lefschetz periodic point free self-maps of compact manifolds. (English) Zbl 1263.37038 Topology Appl. 159, No. 10-11, 2728-2735 (2012). Reviewer: Jan P. Boronski (Alabama) MSC: 37C25 55M20 PDFBibTeX XMLCite \textit{G. Graff} et al., Topology Appl. 159, No. 10--11, 2728--2735 (2012; Zbl 1263.37038) Full Text: DOI
Sanjurjo, José M. R. On the fine structure of the global attractor of a uniformly persistent flow. (English) Zbl 1263.37045 J. Differ. Equations 252, No. 9, 4886-4897 (2012). Reviewer: Geoffrey R. Goodson (Towson) MSC: 37C70 37C10 37B30 37B25 54H20 PDFBibTeX XMLCite \textit{J. M. R. Sanjurjo}, J. Differ. Equations 252, No. 9, 4886--4897 (2012; Zbl 1263.37045) Full Text: DOI
Ortega, Rafael A dynamical characterization of planar symmetries. (English) Zbl 1273.37012 Qual. Theory Dyn. Syst. 10, No. 2, 197-201 (2011). MSC: 37C15 37E30 37C25 PDFBibTeX XMLCite \textit{R. Ortega}, Qual. Theory Dyn. Syst. 10, No. 2, 197--201 (2011; Zbl 1273.37012) Full Text: DOI
Graff, Grzegorz; Jezierski, Jerzy; Nowak-Przygodzki, Piotr Fixed point indices of iterated smooth maps in arbitrary dimension. (English) Zbl 1247.37020 J. Differ. Equations 251, No. 6, 1526-1548 (2011). Reviewer: Roman Srzednicki (Kraków) MSC: 37C25 37C05 55M20 PDFBibTeX XMLCite \textit{G. Graff} et al., J. Differ. Equations 251, No. 6, 1526--1548 (2011; Zbl 1247.37020) Full Text: DOI
Graff, Grzegorz; Nowak-Przygodzki, Piotr; Ruiz del Portal, Francisco R. Local fixed point indices of iterations of planar maps. (English) Zbl 1230.37029 J. Dyn. Differ. Equations 23, No. 1, 213-223 (2011). Reviewer: Dieter Erle (Dortmund) MSC: 37C25 37E30 37B30 PDFBibTeX XMLCite \textit{G. Graff} et al., J. Dyn. Differ. Equations 23, No. 1, 213--223 (2011; Zbl 1230.37029) Full Text: DOI
Sánchez-Gabites, J. J. An approach to the shape Conley index without index pairs. (English) Zbl 1218.37021 Rev. Mat. Complut. 24, No. 1, 95-114 (2011). Reviewer: Michael Farber (Zürich) MSC: 37B30 54H20 55P55 PDFBibTeX XMLCite \textit{J. J. Sánchez-Gabites}, Rev. Mat. Complut. 24, No. 1, 95--114 (2011; Zbl 1218.37021) Full Text: DOI
Ruiz del Portal, Francisco R.; Salazar, José M. Realization of all Dold’s congruences with stability. (English) Zbl 1208.37014 J. Differ. Equations 249, No. 4, 989-1013 (2010). Reviewer: Marco Spadini (Firenze) MSC: 37C25 37B30 54H25 PDFBibTeX XMLCite \textit{F. R. Ruiz del Portal} and \textit{J. M. Salazar}, J. Differ. Equations 249, No. 4, 989--1013 (2010; Zbl 1208.37014) Full Text: DOI Link
Del Portal, Francisco R. Ruiz; Salazar, José M. A Poincaré formula for the fixed point indices of the iterates of arbitrary planar homeomorphisms. (English) Zbl 1196.54068 Fixed Point Theory Appl. 2010, Article ID 323069, 31 p. (2010). Reviewer: Christian Fenske (Gießen) MSC: 54H25 37B30 54H20 55M25 PDFBibTeX XMLCite \textit{F. R. R. Del Portal} and \textit{J. M. Salazar}, Fixed Point Theory Appl. 2010, Article ID 323069, 31 p. (2010; Zbl 1196.54068) Full Text: DOI EuDML
López, Víctor Jiménez; Peralta-Salas, Daniel Global attractors of analytic plane flows. (English) Zbl 1177.37030 Ergodic Theory Dyn. Syst. 29, No. 3, 967-981 (2009). Reviewer: Georgy Osipenko (St. Peterburg) MSC: 37C70 37E35 PDFBibTeX XMLCite \textit{V. J. López} and \textit{D. Peralta-Salas}, Ergodic Theory Dyn. Syst. 29, No. 3, 967--981 (2009; Zbl 1177.37030) Full Text: DOI
Giraldo, A.; Sanjurjo, J. M. R. Topological robustness of non-saddle sets. (English) Zbl 1175.54030 Topology Appl. 156, No. 11, 1929-1936 (2009). Reviewer: Takahisa Miyata (Kobe) MSC: 54C56 55P55 37B25 PDFBibTeX XMLCite \textit{A. Giraldo} and \textit{J. M. R. Sanjurjo}, Topology Appl. 156, No. 11, 1929--1936 (2009; Zbl 1175.54030) Full Text: DOI
Sanjurjo, José M. R. Shape and Conley index of attractors and isolated invariant sets. (English) Zbl 1160.37005 Staicu, Vasile (ed.), Differential equations, chaos and variational problems. Papers from the conference “Views on ODE’s”, Aveiro, Portugal, June 2006. Basel: Birkhäuser (ISBN 978-3-7643-8481-4/hbk). Progress in Nonlinear Differential Equations and Their Applications 75, 393-406 (2008). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 37B30 54H20 55P55 37C70 PDFBibTeX XMLCite \textit{J. M. R. Sanjurjo}, Prog. Nonlinear Differ. Equ. Appl. 75, 393--406 (2008; Zbl 1160.37005) Full Text: DOI
Del Portal, Francisco R. Ruiz; Salazar, José M. Indices of the iterates of \(\mathbb R^3\)-homeomorphisms at Lyapunov stable fixed points. (English) Zbl 1132.37012 J. Differ. Equations 244, No. 5, 1141-1156 (2008). MSC: 37C25 37B30 54H25 PDFBibTeX XMLCite \textit{F. R. R. Del Portal} and \textit{J. M. Salazar}, J. Differ. Equations 244, No. 5, 1141--1156 (2008; Zbl 1132.37012) Full Text: DOI arXiv
Sanjurjo, José M. R. Global topological properties of the Hopf bifurcation. (English) Zbl 1126.37036 J. Differ. Equations 243, No. 2, 238-255 (2007). MSC: 37G35 37D45 37B30 PDFBibTeX XMLCite \textit{J. M. R. Sanjurjo}, J. Differ. Equations 243, No. 2, 238--255 (2007; Zbl 1126.37036) Full Text: DOI
Sánchez-Gabites, J. J.; Sanjurjo, J. M. R. On the topology of the boundary of a basin of attraction. (English) Zbl 1154.37008 Proc. Am. Math. Soc. 135, No. 12, 4087-4098 (2007). Reviewer: Katsuya Yokoi (Matsue) MSC: 37B25 37B30 37C70 54H20 55P55 PDFBibTeX XMLCite \textit{J. J. Sánchez-Gabites} and \textit{J. M. R. Sanjurjo}, Proc. Am. Math. Soc. 135, No. 12, 4087--4098 (2007; Zbl 1154.37008) Full Text: DOI
Ureña, Antonio J. Invariant manifolds near a minimizer. (English) Zbl 1128.34031 J. Differ. Equations 240, No. 1, 172-195 (2007). Reviewer: Stefan Siegmund (Frankfurt) MSC: 34C45 37D10 PDFBibTeX XMLCite \textit{A. J. Ureña}, J. Differ. Equations 240, No. 1, 172--195 (2007; Zbl 1128.34031) Full Text: DOI
Batko, Bogdan; Mrozek, Marian The Euler-Poincaré characteristic of index maps. (English) Zbl 1108.37009 Topology Appl. 154, No. 4, 859-866 (2007). MSC: 37B30 54H20 55M20 PDFBibTeX XMLCite \textit{B. Batko} and \textit{M. Mrozek}, Topology Appl. 154, No. 4, 859--866 (2007; Zbl 1108.37009) Full Text: DOI
Salazar, José M. Fixed point index in symmetric products. (English) Zbl 1073.37015 Trans. Am. Math. Soc. 357, No. 9, 3493-3508 (2005). Reviewer: Aleksandr A. Ivanov (St. Peterburg) MSC: 37B30 54B20 54H25 PDFBibTeX XMLCite \textit{J. M. Salazar}, Trans. Am. Math. Soc. 357, No. 9, 3493--3508 (2005; Zbl 1073.37015) Full Text: DOI
Andres, Jan; Fišer, Jiří; Gabor, Grzegorz; Leśniak, Krzysztof Multivalued fractals. (English) Zbl 1077.28002 Chaos Solitons Fractals 24, No. 3, 665-700 (2005). MSC: 28A80 37B25 PDFBibTeX XMLCite \textit{J. Andres} et al., Chaos Solitons Fractals 24, No. 3, 665--700 (2005; Zbl 1077.28002) Full Text: DOI
Giraldo, A.; Morón, M. A.; Ruiz Del Portal, F. R.; Sanjurjo, J. M. R. Shape of global attractors in topological spaces. (English) Zbl 1060.37010 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 60, No. 5, 837-847 (2005). Reviewer: Friedrich Wilhelm Bauer (Frankfurt a. M.) MSC: 37B25 54C56 55P55 55Q07 PDFBibTeX XMLCite \textit{A. Giraldo} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 60, No. 5, 837--847 (2005; Zbl 1060.37010) Full Text: DOI
Ruiz del Portal, Francisco R. Planar isolated and stable fixed points have index =1. (English) Zbl 1052.37011 J. Differ. Equations 199, No. 1, 179-188 (2004). MSC: 37B25 37B30 37C25 54H25 55M20 PDFBibTeX XMLCite \textit{F. R. Ruiz del Portal}, J. Differ. Equations 199, No. 1, 179--188 (2004; Zbl 1052.37011) Full Text: DOI
Giraldo, A.; Sanjurjo, J. M. R. Morse-Smale equations of non-saddle decompositions. (English) Zbl 1108.37010 Topology Appl. 140, No. 1, 69-80 (2004). MSC: 37B30 55P55 54C56 37B25 54H20 PDFBibTeX XMLCite \textit{A. Giraldo} and \textit{J. M. R. Sanjurjo}, Topology Appl. 140, No. 1, 69--80 (2004; Zbl 1108.37010) Full Text: DOI