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Periodic attractors versus nonuniform expansion in singular limits of families of rank one maps
1.  Department of Mathematics, University of Houston, Houston, TX 77204, United States 
2.  Department of Mathematics, University of Arizona, Tucson, AZ 857210089, United States 
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Manuela Giampieri, Stefano Isola. A oneparameter family of analytic Markov maps with an intermittency transition. Discrete and Continuous Dynamical Systems, 2005, 12 (1) : 115136. doi: 10.3934/dcds.2005.12.115 
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Antonio Pumariño, José Ángel Rodríguez, Enrique Vigil. Persistent twodimensional strange attractors for a twoparameter family of Expanding Baker Maps. Discrete and Continuous Dynamical Systems  B, 2019, 24 (2) : 657670. doi: 10.3934/dcdsb.2018201 
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[15] 
Yiming Ding. Renormalization and $\alpha$limit set for expanding Lorenz maps. Discrete and Continuous Dynamical Systems, 2011, 29 (3) : 979999. doi: 10.3934/dcds.2011.29.979 
[16] 
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Jiu Ding, Aihui Zhou. Absolutely continuous invariant measures for piecewise $C^2$ and expanding mappings in higher dimensions. Discrete and Continuous Dynamical Systems, 2000, 6 (2) : 451458. doi: 10.3934/dcds.2000.6.451 
[18] 
TeckCheong Lim. On the largest common fixed point of a commuting family of isotone maps. Conference Publications, 2005, 2005 (Special) : 621623. doi: 10.3934/proc.2005.2005.621 
[19] 
Iryna Sushko, Anna Agliari, Laura Gardini. Bistability and bordercollision bifurcations for a family of unimodal piecewise smooth maps. Discrete and Continuous Dynamical Systems  B, 2005, 5 (3) : 881897. doi: 10.3934/dcdsb.2005.5.881 
[20] 
Youming Wang, Fei Yang, Song Zhang, Liangwen Liao. Escape quartered theorem and the connectivity of the Julia sets of a family of rational maps. Discrete and Continuous Dynamical Systems, 2019, 39 (9) : 51855206. doi: 10.3934/dcds.2019211 
2020 Impact Factor: 1.392
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