Gupta, Divya; Chandramouli, V. V. M. S. Dynamics of deformed Hénon-like map. (English) Zbl 1498.37070 Chaos Solitons Fractals 155, Article ID 111760, 11 p. (2022). MSC: 37E20 39A13 PDFBibTeX XMLCite \textit{D. Gupta} and \textit{V. V. M. S. Chandramouli}, Chaos Solitons Fractals 155, Article ID 111760, 11 p. (2022; Zbl 1498.37070) Full Text: DOI
Ejlali, Nasim; Pezeshk, Hamid; Chaubey, Yogendra P.; Sadeghi, Mehdi; Ebrahimi, Ali; Nowzari-Dalini, Abbas Parrondo’s paradox for games with three players and its potential application in combination therapy for type II diabetes. (English) Zbl 07529543 Physica A 556, Article ID 124707, 11 p. (2020). MSC: 82-XX PDFBibTeX XMLCite \textit{N. Ejlali} et al., Physica A 556, Article ID 124707, 11 p. (2020; Zbl 07529543) Full Text: DOI
Kumari, S.; Chugh, R. A novel four-step feedback procedure for rapid control of chaotic behavior of the logistic map and unstable traffic on the road. (English) Zbl 1458.37082 Chaos 30, No. 12, 123115, 11 p. (2020). Reviewer: Carlo Laing (Auckland) MSC: 37M05 37M10 37M20 37N35 PDFBibTeX XMLCite \textit{S. Kumari} and \textit{R. Chugh}, Chaos 30, No. 12, 123115, 11 p. (2020; Zbl 1458.37082) Full Text: DOI
Lai, Joel Weijia; Cheong, Kang Hao Parrondo’s paradox from classical to quantum: a review. (English) Zbl 1434.81013 Nonlinear Dyn. 100, No. 1, 849-861 (2020). MSC: 81P45 91B80 81S22 81Sxx PDFBibTeX XMLCite \textit{J. W. Lai} and \textit{K. H. Cheong}, Nonlinear Dyn. 100, No. 1, 849--861 (2020; Zbl 1434.81013) Full Text: DOI
Mendoza, Steve A.; Peacock-López, Enrique Switching induced oscillations in discrete one-dimensional systems. (English) Zbl 1416.93093 Chaos Solitons Fractals 115, 35-44 (2018). MSC: 93C30 37D45 92D25 PDFBibTeX XMLCite \textit{S. A. Mendoza} and \textit{E. Peacock-López}, Chaos Solitons Fractals 115, 35--44 (2018; Zbl 1416.93093) Full Text: DOI
Mendoza, Steve A.; Matt, Eliza W.; Guimarães-Blandón, Diego R.; Peacock-López, Enrique Parrondo’s paradox or chaos control in discrete two-dimensional dynamic systems. (English) Zbl 1392.39010 Chaos Solitons Fractals 106, 86-93 (2018). MSC: 39A33 37G35 PDFBibTeX XMLCite \textit{S. A. Mendoza} et al., Chaos Solitons Fractals 106, 86--93 (2018; Zbl 1392.39010) Full Text: DOI
Cánovas, Jose S. Periodic sequences of simple maps can support chaos. (English) Zbl 1400.37034 Physica A 466, 153-159 (2017). MSC: 37D45 34H10 PDFBibTeX XMLCite \textit{J. S. Cánovas}, Physica A 466, 153--159 (2017; Zbl 1400.37034) Full Text: DOI
Wang, Da; Liu, Shutang; Zhao, Yang A preliminary study on the fractal phenomenon: “Disconnected + disconnected=connected”. (English) Zbl 1371.28031 Fractals 25, No. 1, Article ID 1750004, 11 p. (2017). MSC: 28A80 37F50 PDFBibTeX XMLCite \textit{D. Wang} et al., Fractals 25, No. 1, Article ID 1750004, 11 p. (2017; Zbl 1371.28031) Full Text: DOI
Cánovas, Jose S.; Muñoz Guillermo, María Computing the topological entropy of continuous maps with at most three different kneading sequences with applications to Parrondo’s paradox. (English) Zbl 1355.37030 Chaos Solitons Fractals 83, 1-17 (2016). MSC: 37B40 37E05 65P99 PDFBibTeX XMLCite \textit{J. S. Cánovas} and \textit{M. Muñoz Guillermo}, Chaos Solitons Fractals 83, 1--17 (2016; Zbl 1355.37030) Full Text: DOI
Yadav, Anju; Rani, Mamta Alternate superior Julia sets. (English) Zbl 1352.37144 Chaos Solitons Fractals 73, 1-9 (2015). MSC: 37F50 37M05 PDFBibTeX XMLCite \textit{A. Yadav} and \textit{M. Rani}, Chaos Solitons Fractals 73, 1--9 (2015; Zbl 1352.37144) Full Text: DOI
Shi, Yuming; Zhang, Lijuan; Yu, Panpan; Huang, Qiuling Chaos in periodic discrete systems. (English) Zbl 1309.37042 Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 1, Article ID 1550010, 21 p. (2015). MSC: 37D45 37C05 37C60 PDFBibTeX XMLCite \textit{Y. Shi} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 1, Article ID 1550010, 21 p. (2015; Zbl 1309.37042) Full Text: DOI
Soo, Wayne Wah Ming; Cheong, Kang Hao Occurrence of complementary processes in Parrondo’s paradox. (English) Zbl 1395.60114 Physica A 412, 180-185 (2014). MSC: 60K35 91A12 91A15 PDFBibTeX XMLCite \textit{W. W. M. Soo} and \textit{K. H. Cheong}, Physica A 412, 180--185 (2014; Zbl 1395.60114) Full Text: DOI
AlSharawi, Ziyad; Cánovas, Jose S.; Linero, Antonio Advances in periodic difference equations with open problems. (English) Zbl 1318.39002 AlSharawi, Ziyad (ed.) et al., Theory and applications of difference equations and discrete dynamical systems. ICDEA, Muscat, Oman, May 26–30, 2013. Berlin: Springer (ISBN 978-3-662-44139-8/hbk; 978-3-662-44140-4/ebook). Springer Proceedings in Mathematics & Statistics 102, 113-126 (2014). MSC: 39A10 39A23 37C27 PDFBibTeX XMLCite \textit{Z. AlSharawi} et al., Springer Proc. Math. Stat. 102, 113--126 (2014; Zbl 1318.39002) Full Text: DOI Link
Danca, Marius-F.; Fečkan, Michal; Romera, Miguel Generalized form of Parrondo’s paradoxical game with applications to chaos control. (English) Zbl 1284.37062 Int. J. Bifurcation Chaos Appl. Sci. Eng. 24, No. 1, Article ID 1450008, 17 p. (2014). MSC: 37N35 37D45 91A12 93C55 93C95 PDFBibTeX XMLCite \textit{M.-F. Danca} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 24, No. 1, Article ID 1450008, 17 p. (2014; Zbl 1284.37062) Full Text: DOI
Fernández de Córdoba, María P.; Liz, Eduardo Prediction-based control of chaos and a dynamic Parrondo’s paradox. (English) Zbl 1428.93068 Phys. Lett., A 377, No. 10-11, 778-782 (2013). MSC: 93C55 93D15 34H10 PDFBibTeX XMLCite \textit{M. P. Fernández de Córdoba} and \textit{E. Liz}, Phys. Lett., A 377, No. 10--11, 778--782 (2013; Zbl 1428.93068) Full Text: DOI
Cánovas, Jose S. On the topological entropy of some skew-product maps. (English) Zbl 1338.37026 Entropy 15, No. 8, 3100-3108 (2013). MSC: 37B40 54H20 37B55 PDFBibTeX XMLCite \textit{J. S. Cánovas}, Entropy 15, No. 8, 3100--3108 (2013; Zbl 1338.37026) Full Text: DOI
Amigó, José M.; Kloeden, Peter E.; Giménez, Ángel Entropy increase in switching systems. (English) Zbl 1310.37009 Entropy 15, No. 6, 2363-2383 (2013). MSC: 37B55 37B25 93C30 PDFBibTeX XMLCite \textit{J. M. Amigó} et al., Entropy 15, No. 6, 2363--2383 (2013; Zbl 1310.37009) Full Text: DOI
Zhang, Yongxiang Switching-induced Wada basin boundaries in the Hénon map. (English) Zbl 1281.93055 Nonlinear Dyn. 73, No. 4, 2221-2229 (2013). MSC: 93C30 PDFBibTeX XMLCite \textit{Y. Zhang}, Nonlinear Dyn. 73, No. 4, 2221--2229 (2013; Zbl 1281.93055) Full Text: DOI
Danca, Marius-F.; Bourke, Paul; Romera, Miguel Graphical exploration of the connectivity sets of alternated Julia sets. \(\mathcal M\), the set of disconnected alternated Julia sets. (English) Zbl 1281.37022 Nonlinear Dyn. 73, No. 1-2, 1155-1163 (2013). MSC: 37F50 05C40 68U05 PDFBibTeX XMLCite \textit{M.-F. Danca} et al., Nonlinear Dyn. 73, No. 1--2, 1155--1163 (2013; Zbl 1281.37022) Full Text: DOI arXiv
Amigó, José M.; Kloeden, Peter E.; Giménez, Ángel Switching systems and entropy. (English) Zbl 1373.37046 J. Difference Equ. Appl. 19, No. 11, 1872-1888 (2013). MSC: 37B40 37B55 PDFBibTeX XMLCite \textit{J. M. Amigó} et al., J. Difference Equ. Appl. 19, No. 11, 1872--1888 (2013; Zbl 1373.37046) Full Text: DOI
Fulai, Wang Improvement and empirical research on chaos control by theory of “chaos+chaos=order”. (English) Zbl 1319.37020 Chaos 22, No. 4, 043145, 6 p. (2012). MSC: 37D45 37N35 37F45 PDFBibTeX XMLCite \textit{W. Fulai}, Chaos 22, No. 4, 043145, 6 p. (2012; Zbl 1319.37020) Full Text: DOI
Zhang, Lijuan; Shi, Yuming Time-varying perturbations of chaotic discrete systems. (English) Zbl 1270.37020 Int. J. Bifurcation Chaos Appl. Sci. Eng. 22, No. 3, Article ID 1250066, 14 p. (2012). MSC: 37B55 37C70 37C60 37D45 PDFBibTeX XMLCite \textit{L. Zhang} and \textit{Y. Shi}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 22, No. 3, Article ID 1250066, 14 p. (2012; Zbl 1270.37020) Full Text: DOI
Danca, Marius-F.; Romera, Miguel; Pastor, Gerardo; Montoya, Fausto Finding attractors of continuous-time systems by parameter switching. (English) Zbl 1242.37056 Nonlinear Dyn. 67, No. 4, 2317-2342 (2012). MSC: 37M05 37M99 37D45 PDFBibTeX XMLCite \textit{M.-F. Danca} et al., Nonlinear Dyn. 67, No. 4, 2317--2342 (2012; Zbl 1242.37056) Full Text: DOI arXiv
Ethier, S. N.; Lee, Jiyeon A discrete dynamical system for the greedy strategy at collective Parrondo games. (English) Zbl 1318.37031 Dyn. Syst. 26, No. 4, 401-424 (2011). MSC: 37N40 91A60 PDFBibTeX XMLCite \textit{S. N. Ethier} and \textit{J. Lee}, Dyn. Syst. 26, No. 4, 401--424 (2011; Zbl 1318.37031) Full Text: DOI arXiv
Xie, Neng-Gang; Chen, Yun; Ye, Ye; Xu, Gang; Wang, Lin-Gang; Wang, Chao Theoretical analysis and numerical simulation of Parrondo’s paradox game in space. (English) Zbl 1219.91019 Chaos Solitons Fractals 44, No. 6, 401-414 (2011). MSC: 91A12 60J20 PDFBibTeX XMLCite \textit{N.-G. Xie} et al., Chaos Solitons Fractals 44, No. 6, 401--414 (2011; Zbl 1219.91019) Full Text: DOI
Cánovas, Jose S. Analyzing when the dynamic Parrondo’s paradox is not possible. (English) Zbl 1202.37017 Int. J. Bifurcation Chaos Appl. Sci. Eng. 20, No. 9, 2975-2978 (2010). MSC: 37B40 37E05 PDFBibTeX XMLCite \textit{J. S. Cánovas}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 20, No. 9, 2975--2978 (2010; Zbl 1202.37017) Full Text: DOI
Danca, Marius-F.; Romera, M.; Pastor, G. Alternated Julia sets and connectivity properties. (English) Zbl 1170.37324 Int. J. Bifurcation Chaos Appl. Sci. Eng. 19, No. 6, 2123-2129 (2009). MSC: 37F50 PDFBibTeX XMLCite \textit{M.-F. Danca} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 19, No. 6, 2123--2129 (2009; Zbl 1170.37324) Full Text: DOI
Abbott, Derek Developments in Parrondo’s paradox. (English) Zbl 1161.37323 In, Visarath (ed.) et al., Applications of nonlinear dynamics. Model and design of complex systems. Berlin: Springer (ISBN 978-3-540-85631-3/hbk; 978-3-540-85632-0/e-book). Understanding Complex Systems; Springer: Complexity, 307-321 (2009). MSC: 37E05 37N40 91A60 PDFBibTeX XMLCite \textit{D. Abbott}, in: Applications of nonlinear dynamics. Model and design of complex systems. Berlin: Springer. 307--321 (2009; Zbl 1161.37323) Full Text: DOI
Danca, Marius-F. Random parameter-switching synthesis of a class of hyperbolic attractors. (English) Zbl 1309.93062 Chaos 18, No. 3, 033111, 9 p. (2008). MSC: 93B50 37D45 PDFBibTeX XMLCite \textit{M.-F. Danca}, Chaos 18, No. 3, 033111, 9 p. (2008; Zbl 1309.93062) Full Text: DOI Link
Danca, Marius-F.; Tang, Wallace K. S.; Chen, Guanrong A switching scheme for synthesizing attractors of dissipative chaotic systems. (English) Zbl 1147.65104 Appl. Math. Comput. 201, No. 1-2, 650-667 (2008). MSC: 65P20 65P30 37D45 37M20 37G35 PDFBibTeX XMLCite \textit{M.-F. Danca} et al., Appl. Math. Comput. 201, No. 1--2, 650--667 (2008; Zbl 1147.65104) Full Text: DOI
Romera, Miguel; Small, Michael; Danca, Marius-F. Deterministic and random synthesis of discrete chaos review article. (English) Zbl 1193.37047 Appl. Math. Comput. 192, No. 1, 283-297 (2007). MSC: 37D45 37N35 PDFBibTeX XMLCite \textit{M. Romera} et al., Appl. Math. Comput. 192, No. 1, 283--297 (2007; Zbl 1193.37047) Full Text: DOI
Cánovas, José S.; Puu, Tönu; Marín, Manuel Ruíz A method for studying non-autonomous affine maps: An application to a two-region business cycle model. (English) Zbl 1142.37316 Chaos Solitons Fractals 34, No. 4, 1285-1298 (2007). MSC: 37C60 37N40 91B62 PDFBibTeX XMLCite \textit{J. S. Cánovas} et al., Chaos Solitons Fractals 34, No. 4, 1285--1298 (2007; Zbl 1142.37316) Full Text: DOI
Cánovas, J. S.; Linero, A.; Peralta-Salas, D. Dynamic Parrondo’s paradox. (English) Zbl 1111.37030 Physica D 218, No. 2, 177-184 (2006). MSC: 37E05 37N40 91A25 37D45 PDFBibTeX XMLCite \textit{J. S. Cánovas} et al., Physica D 218, No. 2, 177--184 (2006; Zbl 1111.37030) Full Text: DOI
Boyarsky, Abraham; Góra, Paweł; Shafıqul Islam, Md. Randomly chosen chaotic maps can give rise to nearly ordered behavior. (English) Zbl 1097.37044 Physica D 210, No. 3-4, 284-294 (2005). MSC: 37H99 37A05 82C03 PDFBibTeX XMLCite \textit{A. Boyarsky} et al., Physica D 210, No. 3--4, 284--294 (2005; Zbl 1097.37044) Full Text: DOI