Pourbarat, Mehdi; Abbasi, Neda; Makrooni, Roya; Molaei, Mohammad Reza Chaos in one-dimensional piecewise smooth dynamical systems. (English) Zbl 07785797 J. Dyn. Control Syst. 29, No. 4, 1271-1285 (2023). MSC: 37E05 37C20 37B25 PDFBibTeX XMLCite \textit{M. Pourbarat} et al., J. Dyn. Control Syst. 29, No. 4, 1271--1285 (2023; Zbl 07785797) Full Text: DOI
Sun, Yun; Li, Bing; Ding, Yiming Fiber denseness of intermediate \(\beta\)-shifts of finite type. (English) Zbl 07749177 Nonlinearity 36, No. 11, 5973-5997 (2023). Reviewer: Steve Pederson (Atlanta) MSC: 37E05 37B10 11B39 PDFBibTeX XMLCite \textit{Y. Sun} et al., Nonlinearity 36, No. 11, 5973--5997 (2023; Zbl 07749177) Full Text: DOI
Liu, Jinghua; Li, Lin A topological classification of interval mappings with finitely many discontinuous points. (English) Zbl 1509.37040 Qual. Theory Dyn. Syst. 21, No. 4, Paper No. 157, 19 p. (2022). Reviewer: Steve Pederson (Atlanta) MSC: 37E05 37C15 PDFBibTeX XMLCite \textit{J. Liu} and \textit{L. Li}, Qual. Theory Dyn. Syst. 21, No. 4, Paper No. 157, 19 p. (2022; Zbl 1509.37040) Full Text: DOI
Ding, Yiming; Sun, Yun \(\alpha\)-limit sets and Lyapunov function for maps with one topological attractor. (English) Zbl 1513.37014 Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 2, 813-824 (2022). MSC: 37B25 37B35 PDFBibTeX XMLCite \textit{Y. Ding} and \textit{Y. Sun}, Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 2, 813--824 (2022; Zbl 1513.37014) Full Text: DOI arXiv
Fuhrmann, Gabriel; Gröger, Maik; Passeggi, Alejandro The bifurcation set as a topological invariant for one-dimensional dynamics. (English) Zbl 1469.37031 Nonlinearity 34, No. 3, 1366-1388 (2021). Reviewer: Zdzisław Dzedzej (Gdańsk) MSC: 37E05 37E10 37C15 37B40 37G10 37G15 PDFBibTeX XMLCite \textit{G. Fuhrmann} et al., Nonlinearity 34, No. 3, 1366--1388 (2021; Zbl 1469.37031) Full Text: DOI arXiv
Pusuluri, Krishna; Meijer, H. G. E.; Shilnikov, A. L. (INVITED) Homoclinic puzzles and chaos in a nonlinear laser model. (English) Zbl 1466.78019 Commun. Nonlinear Sci. Numer. Simul. 93, Article ID 105503, 25 p. (2021). MSC: 78A60 37D45 65Y10 68W30 34C23 34D45 PDFBibTeX XMLCite \textit{K. Pusuluri} et al., Commun. Nonlinear Sci. Numer. Simul. 93, Article ID 105503, 25 p. (2021; Zbl 1466.78019) Full Text: DOI arXiv
Liu, Jinghua; Shi, Yong-Guo Conjugacy problem of strictly monotone maps with only one jump discontinuity. (English) Zbl 1440.37033 Result. Math. 75, No. 3, Paper No. 90, 15 p. (2020). MSC: 37C15 37C05 37E05 PDFBibTeX XMLCite \textit{J. Liu} and \textit{Y.-G. Shi}, Result. Math. 75, No. 3, Paper No. 90, 15 p. (2020; Zbl 1440.37033) Full Text: DOI arXiv
Gardini, Laura; Makrooni, Roya Necessary and sufficient conditions of full chaos for expanding Baker-like maps and their use in non-expanding Lorenz maps. (English) Zbl 1508.37049 Commun. Nonlinear Sci. Numer. Simul. 67, 272-289 (2019). MSC: 37E05 37D45 PDFBibTeX XMLCite \textit{L. Gardini} and \textit{R. Makrooni}, Commun. Nonlinear Sci. Numer. Simul. 67, 272--289 (2019; Zbl 1508.37049) Full Text: DOI
Oprocha, Piotr; Potorski, Paweł; Raith, Peter Mixing properties in expanding Lorenz maps. (English) Zbl 1416.37040 Adv. Math. 343, 712-755 (2019). Reviewer: Steve Pederson (Atlanta) MSC: 37E05 37B05 37E20 PDFBibTeX XMLCite \textit{P. Oprocha} et al., Adv. Math. 343, 712--755 (2019; Zbl 1416.37040) Full Text: DOI
Labarca, Rafael; Aranzubia, Solange A formula for the boundary of chaos in the lexicographical scenario and applications to the bifurcation diagram of the standard two parameter family of quadratic increasing-increasing Lorenz maps. (English) Zbl 1394.37025 Discrete Contin. Dyn. Syst. 38, No. 4, 1745-1776 (2018). MSC: 37B10 37B40 37E05 PDFBibTeX XMLCite \textit{R. Labarca} and \textit{S. Aranzubia}, Discrete Contin. Dyn. Syst. 38, No. 4, 1745--1776 (2018; Zbl 1394.37025) Full Text: DOI
Granados, Albert; Alsedà, Lluís; Krupa, Maciej The period adding and incrementing bifurcations: from rotation theory to applications. (English) Zbl 1366.37097 SIAM Rev. 59, No. 2, 225-292 (2017). MSC: 37E10 37E05 37G15 37N25 37N35 PDFBibTeX XMLCite \textit{A. Granados} et al., SIAM Rev. 59, No. 2, 225--292 (2017; Zbl 1366.37097) Full Text: DOI arXiv Link
Sélley, Fanni; Bálint, Péter Mean-field coupling of identical expanding circle maps. (English) Zbl 1351.82049 J. Stat. Phys. 164, No. 4, 858-889 (2016). MSC: 82C22 82C20 37E25 PDFBibTeX XMLCite \textit{F. Sélley} and \textit{P. Bálint}, J. Stat. Phys. 164, No. 4, 858--889 (2016; Zbl 1351.82049) Full Text: DOI arXiv
Clark, Lyndsey The \(\beta\)-transformation with a hole. (English) Zbl 1369.37017 Discrete Contin. Dyn. Syst. 36, No. 3, 1249-1269 (2016). Reviewer: Astrid Reifegerste (Magdeburg) MSC: 37B10 05A05 28D05 68R15 PDFBibTeX XMLCite \textit{L. Clark}, Discrete Contin. Dyn. Syst. 36, No. 3, 1249--1269 (2016; Zbl 1369.37017) Full Text: DOI arXiv
Ding, Yiming; Hu, Hui; Yu, Yueli On Hausdorff dimension of invariant sets for a class of piecewise linear maps. (English) Zbl 1337.37022 Bohner, Martin (ed.) et al., Difference equations, discrete dynamical systems and applications. Proceedings of the 20th international conference on difference equations and applications, ICDEA, Wuhan, China, July 21–25, 2014. Cham: Springer (ISBN 978-3-319-24745-8/hbk; 978-3-319-24747-2/ebook). Springer Proceedings in Mathematics & Statistics 150, 67-82 (2015). MSC: 37C45 37E05 28A78 37B10 PDFBibTeX XMLCite \textit{Y. Ding} et al., Springer Proc. Math. Stat. 150, 67--82 (2015; Zbl 1337.37022) Full Text: DOI
Glendinning, Paul; Sidorov, Nikita The doubling map with asymmetrical holes. (English) Zbl 1358.37031 Ergodic Theory Dyn. Syst. 35, No. 4, 1208-1228 (2015). MSC: 37B10 37E05 37D45 28A78 PDFBibTeX XMLCite \textit{P. Glendinning} and \textit{N. Sidorov}, Ergodic Theory Dyn. Syst. 35, No. 4, 1208--1228 (2015; Zbl 1358.37031) Full Text: DOI arXiv
Cui, Hongfei; Ding, Yiming Renormalization and conjugacy of piecewise linear Lorenz maps. (English) Zbl 1353.37081 Adv. Math. 271, 235-272 (2015). Reviewer: Steve Pederson (Atlanta) MSC: 37E05 37E20 37F25 PDFBibTeX XMLCite \textit{H. Cui} and \textit{Y. Ding}, Adv. Math. 271, 235--272 (2015; Zbl 1353.37081) Full Text: DOI arXiv
Barnsley, Michael; Steiner, Wolfgang; Vince, Andrew Critical itineraries of maps with constant slope and one discontinuity. (English) Zbl 1376.37031 Math. Proc. Camb. Philos. Soc. 157, No. 3, 547-465 (2014). MSC: 37B10 26A18 37B15 PDFBibTeX XMLCite \textit{M. Barnsley} et al., Math. Proc. Camb. Philos. Soc. 157, No. 3, 547--465 (2014; Zbl 1376.37031) Full Text: DOI
Samuel, Tony; Snigireva, Nina; Vince, Andrew Embedding the symbolic dynamics of Lorenz maps. (English) Zbl 1347.37030 Math. Proc. Camb. Philos. Soc. 156, No. 3, 505-519 (2014). Reviewer: Alejandro Mesón (La Plata) MSC: 37B10 37B40 37E05 PDFBibTeX XMLCite \textit{T. Samuel} et al., Math. Proc. Camb. Philos. Soc. 156, No. 3, 505--519 (2014; Zbl 1347.37030) Full Text: DOI arXiv
Labarca, Rafael; Moreira, Carlos Gustavo Essential dynamics for Lorenz maps on the real line and the lexicographical world. (English. French summary) Zbl 1112.37009 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 23, No. 5, 683-694 (2006). Reviewer: Mike Hurley (Cleveland) MSC: 37B10 37D45 37C45 37B40 PDFBibTeX XMLCite \textit{R. Labarca} and \textit{C. G. Moreira}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 23, No. 5, 683--694 (2006; Zbl 1112.37009) Full Text: DOI Numdam EuDML
Luzzatto, Stefano; Melbourne, Ian; Paccaut, Frederic The Lorenz attractor is mixing. (English) Zbl 1082.37030 Commun. Math. Phys. 260, No. 2, 393-401 (2005). MSC: 37D45 37A25 PDFBibTeX XMLCite \textit{S. Luzzatto} et al., Commun. Math. Phys. 260, No. 2, 393--401 (2005; Zbl 1082.37030) Full Text: DOI arXiv
Alsedà, Lluís; Falcó, Antonio On the topological dynamics and phase-locking renormalization of Lorenz-like maps. (English) Zbl 1027.37021 Ann. Inst. Fourier 53, No. 3, 859-883 (2003). MSC: 37E05 37B99 37E10 37E20 37E45 PDFBibTeX XMLCite \textit{L. Alsedà} and \textit{A. Falcó}, Ann. Inst. Fourier 53, No. 3, 859--883 (2003; Zbl 1027.37021) Full Text: DOI Numdam EuDML Link
Silva, Luis; Sousa Ramos, J. Topological invariants and renormalization of Lorenz maps. (English) Zbl 1003.37030 Physica D 162, No. 3-4, 233-243 (2002). Reviewer: Ľubomír Snoha (Banská Bystrica) MSC: 37E20 37E05 37B10 37B40 PDFBibTeX XMLCite \textit{L. Silva} and \textit{J. Sousa Ramos}, Physica D 162, No. 3--4, 233--243 (2002; Zbl 1003.37030) Full Text: DOI
Berkolaiko, G. Dynamics of piecewise linear interval maps with hysteresis. (English) Zbl 0942.37027 Dyn. Stab. Syst. 14, No. 1, 57-70 (1999). Reviewer: Messoud Efendiev (Berlin) MSC: 37E05 37G30 PDFBibTeX XMLCite \textit{G. Berkolaiko}, Dyn. Stab. Syst. 14, No. 1, 57--70 (1999; Zbl 0942.37027) Full Text: DOI
Carretero-González, R.; Arrowsmith, D. K.; Vivaldi, F. Mode-locking in coupled map lattices. (English) Zbl 1194.37048 Physica D 103, No. 1-4, 381-403 (1997). MSC: 37D45 82B20 PDFBibTeX XMLCite \textit{R. Carretero-González} et al., Physica D 103, No. 1--4, 381--403 (1997; Zbl 1194.37048) Full Text: DOI arXiv
Morales, C. A.; Pujals, E. R. Singular strange attractors on the boundary of Morse-Smale systems. (English) Zbl 0911.58022 Ann. Sci. Éc. Norm. Supér. (4) 30, No. 6, 693-717 (1997). Reviewer: Govindan Rangarajan (Bangalore) MSC: 37D15 37D45 PDFBibTeX XMLCite \textit{C. A. Morales} and \textit{E. R. Pujals}, Ann. Sci. Éc. Norm. Supér. (4) 30, No. 6, 693--717 (1997; Zbl 0911.58022) Full Text: DOI Numdam EuDML
Glendinning, Paul Asymmetric perturbations of Lorenz-like equations. (English) Zbl 0671.34050 Dyn. Stab. Syst. 2, No. 1, 43-53 (1987). MSC: 34E10 34C25 PDFBibTeX XMLCite \textit{P. Glendinning}, Dyn. Stab. Syst. 2, No. 1, 43--53 (1987; Zbl 0671.34050) Full Text: DOI