Guelman, Nancy; Liousse, Isabelle Uniform simplicity for subgroups of piecewise continuous bijections of the unit interval. (English) Zbl 1528.20039 Bull. Lond. Math. Soc. 55, No. 5, 2341-2362 (2023). Reviewer: Enrico Jabara (Venezia) MSC: 20E32 20F12 37E05 57S30 PDFBibTeX XMLCite \textit{N. Guelman} and \textit{I. Liousse}, Bull. Lond. Math. Soc. 55, No. 5, 2341--2362 (2023; Zbl 1528.20039) Full Text: DOI arXiv
McDonald, André M.; van Wyk, Michaël A.; Chen, Guanrong The inverse Frobenius-Perron problem: a survey of solutions to the original problem formulation. (English) Zbl 1525.37033 AIMS Math. 6, No. 10, 11200-11232 (2021). MSC: 37D45 37E05 28D05 PDFBibTeX XMLCite \textit{A. M. McDonald} et al., AIMS Math. 6, No. 10, 11200--11232 (2021; Zbl 1525.37033) Full Text: DOI
Málek, Michal; Roth, Samuel Constant slope models and perturbation. (English) Zbl 1425.37028 Isr. J. Math. 230, No. 1, 213-237 (2019). Reviewer: Mihai Turinici (Iaşi) MSC: 37E05 37B05 54H20 PDFBibTeX XMLCite \textit{M. Málek} and \textit{S. Roth}, Isr. J. Math. 230, No. 1, 213--237 (2019; Zbl 1425.37028) Full Text: DOI arXiv
Alves, José F.; Pumariño, Antonio; Vigil, Enrique Statistical stability for multidimensional piecewise expanding maps. (English) Zbl 1375.37003 Proc. Am. Math. Soc. 145, No. 7, 3057-3068 (2017). MSC: 37A05 37A10 37C75 PDFBibTeX XMLCite \textit{J. F. Alves} et al., Proc. Am. Math. Soc. 145, No. 7, 3057--3068 (2017; Zbl 1375.37003) Full Text: DOI arXiv
Karlova, Olena; Mykhaylyuk, Volodymyr On composition of Baire functions. (English) Zbl 1355.54019 Topology Appl. 216, 8-24 (2017). Reviewer: Jan Borsik (Kosice) MSC: 54C08 26A21 54H05 PDFBibTeX XMLCite \textit{O. Karlova} and \textit{V. Mykhaylyuk}, Topology Appl. 216, 8--24 (2017; Zbl 1355.54019) Full Text: DOI arXiv
Góra, Paweł; Boyarsky, Abraham; Li, Zhenyang Singular SRB measures for a non 1-1 map of the unit square. (English) Zbl 1375.37070 J. Stat. Phys. 165, No. 2, 409-433 (2016). MSC: 37C40 37A10 37E30 37D30 PDFBibTeX XMLCite \textit{P. Góra} et al., J. Stat. Phys. 165, No. 2, 409--433 (2016; Zbl 1375.37070) Full Text: DOI arXiv
Pires, Benito Invariant measures for piecewise continuous maps. (Mesures invariantes pour les applications continues par morceaux.) (English. French summary) Zbl 1353.37084 C. R., Math., Acad. Sci. Paris 354, No. 7, 717-722 (2016). MSC: 37E05 37C15 37C27 PDFBibTeX XMLCite \textit{B. Pires}, C. R., Math., Acad. Sci. Paris 354, No. 7, 717--722 (2016; Zbl 1353.37084) Full Text: DOI arXiv
Gardini, Laura; Tramontana, Fabio; Banerjee, Soumitro Bifurcation analysis of an inductorless chaos generator using 1D piecewise smooth map. (English) Zbl 07312532 Math. Comput. Simul. 95, 137-145 (2014). MSC: 37-XX 65-XX PDFBibTeX XMLCite \textit{L. Gardini} et al., Math. Comput. Simul. 95, 137--145 (2014; Zbl 07312532) Full Text: DOI
Beretta, Elena; Francini, Elisa; Vessella, Sergio Uniqueness and Lipschitz stability for the identification of Lamé parameters from boundary measurements. (English) Zbl 1304.35762 Inverse Probl. Imaging 8, No. 3, 611-644 (2014). MSC: 35R30 35R05 35J57 PDFBibTeX XMLCite \textit{E. Beretta} et al., Inverse Probl. Imaging 8, No. 3, 611--644 (2014; Zbl 1304.35762) Full Text: DOI arXiv
Fernandez, Bastien Breaking of ergodicity in expanding systems of globally coupled piecewise affine circle maps. (English) Zbl 1371.37079 J. Stat. Phys. 154, No. 4, 999-1029 (2014). MSC: 37E10 37D45 82B26 37A25 PDFBibTeX XMLCite \textit{B. Fernandez}, J. Stat. Phys. 154, No. 4, 999--1029 (2014; Zbl 1371.37079) Full Text: DOI
Li, Haigang; Wang, Changyou Harmonic maps on domains with piecewise Lipschitz continuous metrics. (English) Zbl 1282.58012 Pac. J. Math. 264, No. 1, 125-149 (2013). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 58E20 35J50 PDFBibTeX XMLCite \textit{H. Li} and \textit{C. Wang}, Pac. J. Math. 264, No. 1, 125--149 (2013; Zbl 1282.58012) Full Text: DOI arXiv
Li, Zhenyang; Góra, Paweł; Boyarsky, Abraham; Proppe, Harald; Eslami, Peyman Family of piecewise expanding maps having singular measure as a limit of ACIMs. (English) Zbl 1280.37035 Ergodic Theory Dyn. Syst. 33, No. 1, 158-167 (2013). Reviewer: Steve Pederson (Atlanta) MSC: 37E05 37D20 37A10 PDFBibTeX XMLCite \textit{Z. Li} et al., Ergodic Theory Dyn. Syst. 33, No. 1, 158--167 (2013; Zbl 1280.37035) Full Text: DOI
Silva Lima, Maurício Firmino; Llibre, Jaume Limit cycles for a class of continuous piecewise linear differential systems with three zones. (English) Zbl 1270.34047 Int. J. Bifurcation Chaos Appl. Sci. Eng. 22, No. 6, Article ID 1250138, 10 p. (2012). MSC: 34C05 34A36 PDFBibTeX XMLCite \textit{M. F. Silva Lima} and \textit{J. Llibre}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 22, No. 6, Article ID 1250138, 10 p. (2012; Zbl 1270.34047) Full Text: DOI
Lin, Ying-Fen Completely bounded disjointness preserving operators between Fourier algebras. (English) Zbl 1225.43004 J. Math. Anal. Appl. 382, No. 1, 469-473 (2011). Reviewer: Hossam A. Ghany (Taif) MSC: 43A70 47A05 47C05 43A25 47B48 46J10 PDFBibTeX XMLCite \textit{Y.-F. Lin}, J. Math. Anal. Appl. 382, No. 1, 469--473 (2011; Zbl 1225.43004) Full Text: DOI
Sella, Lorenzo; Collins, Pieter Computation of symbolic dynamics for one-dimensional maps. (English) Zbl 1195.65216 J. Comput. Appl. Math. 234, No. 2, 418-436 (2010). Reviewer: Li Changpin (Logan) MSC: 65P99 37E05 65G40 37M25 PDFBibTeX XMLCite \textit{L. Sella} and \textit{P. Collins}, J. Comput. Appl. Math. 234, No. 2, 418--436 (2010; Zbl 1195.65216) Full Text: DOI
Barwell, Andrew D. A characterization of \(\omega\)-limit sets for piecewise monotone maps of the interval. (English) Zbl 1201.37014 Fundam. Math. 207, No. 2, 161-174 (2010). Reviewer: Iztok Banič (Maribor) MSC: 37B10 37E05 54C05 54H20 PDFBibTeX XMLCite \textit{A. D. Barwell}, Fundam. Math. 207, No. 2, 161--174 (2010; Zbl 1201.37014) Full Text: DOI
Hofbauer, Franz; Raith, Peter; Smítal, Jaroslav The space of \(\omega \)-limit sets of piecewise continuous maps of the interval. (English) Zbl 1189.37047 J. Difference Equ. Appl. 16, No. 2-3, 275-290 (2010). MSC: 37E05 37B99 37C70 26A18 PDFBibTeX XMLCite \textit{F. Hofbauer} et al., J. Difference Equ. Appl. 16, No. 2--3, 275--290 (2010; Zbl 1189.37047) Full Text: DOI
Fu, Xin-Chu; Chen, Zhan-He; Gao, Hongjun; Li, Chang-Pin; Liu, Zeng-Rong Chaotic sets of continuous and discontinuous maps. (English) Zbl 1181.37041 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 1, 399-408 (2010). MSC: 37D45 37B05 37B10 PDFBibTeX XMLCite \textit{X.-C. Fu} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 1, 399--408 (2010; Zbl 1181.37041) Full Text: DOI
Banakh, Taras; Bokalo, Bogdan On scatteredly continuous maps between topological spaces. (English) Zbl 1196.54021 Topology Appl. 157, No. 1, 108-122 (2010). Reviewer: Kiyoshi Iseki (Osaka) MSC: 54C08 03E35 54A35 PDFBibTeX XMLCite \textit{T. Banakh} and \textit{B. Bokalo}, Topology Appl. 157, No. 1, 108--122 (2010; Zbl 1196.54021) Full Text: DOI arXiv
Góra, Paweł Invariant densities for piecewise linear maps of the unit interval. (English) Zbl 1188.37045 Ergodic Theory Dyn. Syst. 29, No. 5, 1549-1583 (2009). Reviewer: Steve Pederson (Atlanta) MSC: 37E05 37A05 PDFBibTeX XMLCite \textit{P. Góra}, Ergodic Theory Dyn. Syst. 29, No. 5, 1549--1583 (2009; Zbl 1188.37045) Full Text: DOI
Baladi, Viviane; Smania, Daniel Smooth deformations of piecewise expanding unimodal maps. (English) Zbl 1154.37340 Discrete Contin. Dyn. Syst. 23, No. 3, 685-703 (2009). MSC: 37E05 37C15 37F15 37A10 37C20 32G15 58H15 PDFBibTeX XMLCite \textit{V. Baladi} and \textit{D. Smania}, Discrete Contin. Dyn. Syst. 23, No. 3, 685--703 (2009; Zbl 1154.37340) Full Text: DOI arXiv
Peng, Mingshu Rich dynamics of discrete delay ecological models. (English) Zbl 1082.39014 Chaos Solitons Fractals 24, No. 5, 1279-1285 (2005). Reviewer: Edwin Engin Yaz (Milwaukee) MSC: 39A12 37E05 37C27 92D40 PDFBibTeX XMLCite \textit{M. Peng}, Chaos Solitons Fractals 24, No. 5, 1279--1285 (2005; Zbl 1082.39014) Full Text: DOI
Kopf, C. Coding and entropy for piecewise continuous piecewise monotone transformations. (English) Zbl 1070.37019 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 61, No. 1-2, 269-275 (2005). MSC: 37E05 94A17 37B10 37B40 PDFBibTeX XMLCite \textit{C. Kopf}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 61, No. 1--2, 269--275 (2005; Zbl 1070.37019) Full Text: DOI
Yang, Xiao-Song; Tang, Yun Horseshoes in piecewise continuous maps. (English) Zbl 1053.37006 Chaos Solitons Fractals 19, No. 4, 841-845 (2004). Reviewer: Messoud A. Efendiev (Berlin) MSC: 37B99 37E99 PDFBibTeX XMLCite \textit{X.-S. Yang} and \textit{Y. Tang}, Chaos Solitons Fractals 19, No. 4, 841--845 (2004; Zbl 1053.37006) Full Text: DOI
Jakobson, Michael Piecewise smooth maps with absolutely continuous invariant measures and uniformly scaled Markov partitions. (English) Zbl 1006.37016 Katok, Anatole (ed.) et al., Smooth ergodic theory and its applications. Proceedings of the AMS summer research institute, Seattle, WA, USA, July 26-August 13, 1999. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Pure Math. 69, 825-881 (2001). Reviewer: Víctor Jiménez López (Murcia) MSC: 37C40 37E05 37D45 PDFBibTeX XMLCite \textit{M. Jakobson}, Proc. Symp. Pure Math. 69, 825--881 (2001; Zbl 1006.37016)
Tsujii, Masato Absolutely continuous invariant measures for expanding piecewise linear maps. (English) Zbl 0969.37012 Invent. Math. 143, No. 2, 349-373 (2001). Reviewer: Peter Raith (Wien) MSC: 37C40 37D20 37B99 PDFBibTeX XMLCite \textit{M. Tsujii}, Invent. Math. 143, No. 2, 349--373 (2001; Zbl 0969.37012) Full Text: DOI
Boudourides, Moses A.; Fotiades, Nikos A. Piecewise linear interval maps both expanding and contracting. (English) Zbl 0972.37022 Dyn. Stab. Syst. 15, No. 4, 343-351 (2000). Reviewer: Peter Raith (Wien) MSC: 37E05 37E15 37C40 37D20 37C25 37B99 PDFBibTeX XMLCite \textit{M. A. Boudourides} and \textit{N. A. Fotiades}, Dyn. Stab. Syst. 15, No. 4, 343--351 (2000; Zbl 0972.37022) Full Text: DOI
Lu, Jie Chaos and order of inverse limit space for a graph map. (English) Zbl 0984.37042 Chin. Ann. Math., Ser. B 21, No. 1, 25-32 (2000). Reviewer: Messoud Efendiev (Berlin) MSC: 37E25 37D45 26A18 37B20 PDFBibTeX XMLCite \textit{J. Lu}, Chin. Ann. Math., Ser. B 21, No. 1, 25--32 (2000; Zbl 0984.37042) Full Text: DOI
Maistrenko, Yu. L.; Maistrenko, V. L.; Vikul, S. I. On period-adding sequences of attracting cycles in piecewise linear maps. (English) Zbl 0934.37034 Chaos Solitons Fractals 9, No. 1-2, 67-75 (1998). MSC: 37D45 37E05 PDFBibTeX XMLCite \textit{Yu. L. Maistrenko} et al., Chaos Solitons Fractals 9, No. 1--2, 67--75 (1998; Zbl 0934.37034) Full Text: DOI
Liao, Gongfu A characterization of the solutions of \(p\)-order Feigenbaum’s functional equation with topological entropy \(0\). (English) Zbl 0870.39007 Acta Math. Sci. 16, No. 1, 38-43 (1996). Reviewer: I.Gumowski (Thoiry) MSC: 39B12 37B99 54C70 PDFBibTeX XMLCite \textit{G. Liao}, Acta Math. Sci. 16, No. 1, 38--43 (1996; Zbl 0870.39007)
López, V. Jiménez; Snoha, Ľ. Full cascades of simple periodic orbits on the interval. (English) Zbl 0937.37022 Ukr. Math. J. 48, No. 12, 1843-1851 (1996) and Ukr. Mat. Zh. 48, No. 12, 1628-1637 (1996). MSC: 37E05 37C25 37C27 PDFBibTeX XMLCite \textit{V. J. López} and \textit{Ľ. Snoha}, Ukr. Math. J. 48, No. 12, 1843--1851 (1996) and Ukr. Mat. Zh. 48, No. 12, 1628--1637 (1996; Zbl 0937.37022) Full Text: DOI
Jabłonski, Marian; Góra, Paweł; Boyarsky, Abraham A general existence theorem for absolutely continuous invariant measures on bounded and unbounded intervals. (English) Zbl 0895.28005 Nonlinear World 3, No. 2, 183-200 (1996). Reviewer: T.B.Ward (Norwich) MSC: 28D05 37A99 PDFBibTeX XMLCite \textit{M. Jabłonski} et al., Nonlinear World 3, No. 2, 183--200 (1996; Zbl 0895.28005)
Góra, Paweł Importance of bounded variation condition for stability of an absolutely continuous invariant measure. (English) Zbl 0803.28010 J. Math. Anal. Appl. 181, No. 2, 422-428 (1994). Reviewer: G.R.Goodson (Towson) MSC: 28D05 PDFBibTeX XMLCite \textit{P. Góra}, J. Math. Anal. Appl. 181, No. 2, 422--428 (1994; Zbl 0803.28010) Full Text: DOI
Raith, Peter Continuity of the Hausdorff dimension for piecewise monotonic maps. (English) Zbl 0768.28010 Isr. J. Math. 80, No. 1-2, 97-133 (1992). Reviewer: H.Haase (Greifswald) MSC: 28D20 28A78 28D10 37J40 PDFBibTeX XMLCite \textit{P. Raith}, Isr. J. Math. 80, No. 1--2, 97--133 (1992; Zbl 0768.28010) Full Text: DOI
Proppe, H.; Góra, P.; Boyarsky, A. Inadequacy of the bounded variation technique in the ergodic theory of higher-dimensional transformations. (English) Zbl 0714.28010 Nonlinearity 3, No. 4, 1081-1087 (1990). Reviewer: G.Keller MSC: 28D05 37A99 PDFBibTeX XMLCite \textit{H. Proppe} et al., Nonlinearity 3, No. 4, 1081--1087 (1990; Zbl 0714.28010) Full Text: DOI
Ziemian, Krystyna Rate of convergence of conditional entropies for some maps of an interval. (English) Zbl 0691.28005 Stud. Math. 93, No. 3, 259-269 (1989). Reviewer: G.Keller MSC: 28D05 37A99 37C25 28D20 PDFBibTeX XMLCite \textit{K. Ziemian}, Stud. Math. 93, No. 3, 259--269 (1989; Zbl 0691.28005) Full Text: DOI EuDML
Scarowsky, Manny; Boyarsky, Abraham A bound on the number of periodic orbits of certain piecewise linear maps. (English) Zbl 0646.26006 J. Math. Anal. Appl. 132, No. 1, 247-250 (1988). Reviewer: K.Janková MSC: 26A18 37D99 PDFBibTeX XMLCite \textit{M. Scarowsky} and \textit{A. Boyarsky}, J. Math. Anal. Appl. 132, No. 1, 247--250 (1988; Zbl 0646.26006) Full Text: DOI
Boyarsky, Abraham A matrix method for estimating the Lyapunov exponent of one-dimensional systems. (English) Zbl 1084.37517 J. Stat. Phys. 50, No. 1-2, 213-229 (1988). MSC: 37H15 28D99 34D08 82D99 PDFBibTeX XMLCite \textit{A. Boyarsky}, J. Stat. Phys. 50, No. 1--2, 213--229 (1988; Zbl 1084.37517) Full Text: DOI
Boyarsky, Abraham Uniqueness of invariant densities for certain random maps of the interval. (English) Zbl 0595.60056 Can. Math. Bull. 30, No. 1-3, 301-308 (1987). MSC: 60G99 28D99 PDFBibTeX XMLCite \textit{A. Boyarsky}, Can. Math. Bull. 30, No. 1--3, 301--308 (1987; Zbl 0595.60056) Full Text: DOI
Boyarsky, Abraham; Scarowsky, Manny Piecewise monotonic functions that commute. (English) Zbl 0625.28009 Appl. Anal. 23, 1-10 (1986). MSC: 28D05 26A18 37A99 PDFBibTeX XMLCite \textit{A. Boyarsky} and \textit{M. Scarowsky}, Appl. Anal. 23, 1--10 (1986; Zbl 0625.28009) Full Text: DOI
Keller, Gerhard Generalized bounded variation and applications to piecewise monotonic transformations. (English) Zbl 0574.28014 Z. Wahrscheinlichkeitstheor. Verw. Geb. 69, 461-478 (1985). MSC: 28D05 37A99 47A35 60F05 26A45 PDFBibTeX XMLCite \textit{G. Keller}, Z. Wahrscheinlichkeitstheor. Verw. Geb. 69, 461--478 (1985; Zbl 0574.28014) Full Text: DOI
Howe, Roger On a class of linear complementarity problems of variable degree. (English) Zbl 0516.55003 Homotopy methods and global convergence, Proc. NATO Adv. Res. Inst., Porto Cervo/Sardinia 1981, NATO Conf. Ser. II, Syst. Sci. 13, 159-177 (1983). MSC: 55M25 90C33 PDFBibTeX XML
Misiurewicz, Michal Absolutely continuous measures for certain maps of an interval. (English) Zbl 0477.58020 Publ. Math., Inst. Hautes Étud. Sci. 53, 17-51 (1981). MSC: 37A99 37D45 28D20 54C70 PDFBibTeX XMLCite \textit{M. Misiurewicz}, Publ. Math., Inst. Hautes Étud. Sci. 53, 17--51 (1981; Zbl 0477.58020) Full Text: DOI Numdam EuDML
Boyarsky, Abraham; Haddad, Gabriel All invariant densities of piecewise linear Markov maps are piecewise constant. (English) Zbl 0468.28018 Adv. Appl. Math. 2, 284-288 (1981). MSC: 28D05 28A15 PDFBibTeX XMLCite \textit{A. Boyarsky} and \textit{G. Haddad}, Adv. Appl. Math. 2, 284--288 (1981; Zbl 0468.28018) Full Text: DOI