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Topological mapping properties defined by digraphs
1.  Department of Mathematics, La Trobe University Bundoora, Australia 3083, Australia 
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John Banks, Brett Stanley. A note on equivalent definitions of topological transitivity. Discrete & Continuous Dynamical Systems  A, 2013, 33 (4) : 12931296. doi: 10.3934/dcds.2013.33.1293 
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Piotr Oprocha, Paweł Potorski. Topological mixing, knot points and bounds of topological entropy. Discrete & Continuous Dynamical Systems  B, 2015, 20 (10) : 35473564. doi: 10.3934/dcdsb.2015.20.3547 
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Song Shao, Xiangdong Ye. Nonwandering sets of the powers of maps of a star. Discrete & Continuous Dynamical Systems  A, 2003, 9 (5) : 11751184. doi: 10.3934/dcds.2003.9.1175 
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Paul Wright. Differentiability of Hausdorff dimension of the nonwandering set in a planar open billiard. Discrete & Continuous Dynamical Systems  A, 2016, 36 (7) : 39934014. doi: 10.3934/dcds.2016.36.3993 
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Jean René Chazottes, F. Durand. Local rates of Poincaré recurrence for rotations and weak mixing. Discrete & Continuous Dynamical Systems  A, 2005, 12 (1) : 175183. doi: 10.3934/dcds.2005.12.175 
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Oliver Knill. Singular continuous spectrum and quantitative rates of weak mixing. Discrete & Continuous Dynamical Systems  A, 1998, 4 (1) : 3342. doi: 10.3934/dcds.1998.4.33 
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A. Crannell. A chaotic, nonmixing subshift. Conference Publications, 1998, 1998 (Special) : 195202. doi: 10.3934/proc.1998.1998.195 
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Hadda Hmili. Non topologically weakly mixing interval exchanges. Discrete & Continuous Dynamical Systems  A, 2010, 27 (3) : 10791091. doi: 10.3934/dcds.2010.27.1079 
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Anthony Quas, Terry Soo. Weak mixing suspension flows over shifts of finite type are universal. Journal of Modern Dynamics, 2012, 6 (4) : 427449. doi: 10.3934/jmd.2012.6.427 
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Corinna Ulcigrai. Weak mixing for logarithmic flows over interval exchange transformations. Journal of Modern Dynamics, 2009, 3 (1) : 3549. doi: 10.3934/jmd.2009.3.35 
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Guizhen Cui, Yan Gao. Wandering continua for rational maps. Discrete & Continuous Dynamical Systems  A, 2016, 36 (3) : 13211329. doi: 10.3934/dcds.2016.36.1321 
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Guizhen Cui, Wenjuan Peng, Lei Tan. On the topology of wandering Julia components. Discrete & Continuous Dynamical Systems  A, 2011, 29 (3) : 929952. doi: 10.3934/dcds.2011.29.929 
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Sergio Muñoz. Robust transitivity of maps of the real line. Discrete & Continuous Dynamical Systems  A, 2015, 35 (3) : 11631177. doi: 10.3934/dcds.2015.35.1163 
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Juan Luis García Guirao, Marek Lampart. Transitivity of a LotkaVolterra map. Discrete & Continuous Dynamical Systems  B, 2008, 9 (1) : 7582. doi: 10.3934/dcdsb.2008.9.75 
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Gernot Greschonig. Regularity of topological cocycles of a class of nonisometric minimal homeomorphisms. Discrete & Continuous Dynamical Systems  A, 2013, 33 (9) : 43054321. doi: 10.3934/dcds.2013.33.4305 
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MingChia Li, MingJiea Lyu. Topological conjugacy for Lipschitz perturbations of nonautonomous systems. Discrete & Continuous Dynamical Systems  A, 2016, 36 (9) : 50115024. doi: 10.3934/dcds.2016017 
[17] 
Youngae Lee. Nontopological solutions in a generalized ChernSimons model on torus. Communications on Pure & Applied Analysis, 2017, 16 (4) : 13151330. doi: 10.3934/cpaa.2017064 
[18] 
Ciprian Foias, Ricardo Rosa, Roger Temam. Topological properties of the weak global attractor of the threedimensional NavierStokes equations. Discrete & Continuous Dynamical Systems  A, 2010, 27 (4) : 16111631. doi: 10.3934/dcds.2010.27.1611 
[19] 
Krzysztof Frączek, Leonid Polterovich. Growth and mixing. Journal of Modern Dynamics, 2008, 2 (2) : 315338. doi: 10.3934/jmd.2008.2.315 
[20] 
Alexander Blokh. Necessary conditions for the existence of wandering triangles for cubic laminations. Discrete & Continuous Dynamical Systems  A, 2005, 13 (1) : 1334. doi: 10.3934/dcds.2005.13.13 
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