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Nearly continuous Kakutani equivalence of adding machines
1.  Department of Mathematics,The University of TexasPan American, 1201 West University Drive, Edinburg, TX 785392999, United States 
2.  Department of Mathematics, Colorado State University, Fort Collins, CO 80523, United States 
[1] 
Andres del Junco, Daniel J. Rudolph, Benjamin Weiss. Measured topological orbit and Kakutani equivalence. Discrete & Continuous Dynamical Systems  S, 2009, 2 (2) : 221238. doi: 10.3934/dcdss.2009.2.221 
[2] 
Ali Messaoudi, Rafael Asmat Uceda. Stochastic adding machine and $2$dimensional Julia sets. Discrete & Continuous Dynamical Systems, 2014, 34 (12) : 52475269. doi: 10.3934/dcds.2014.34.5247 
[3] 
Kengo Matsumoto. Cohomology groups, continuous full groups and continuous orbit equivalence of topological Markov shifts. Discrete & Continuous Dynamical Systems, 2022, 42 (2) : 841862. doi: 10.3934/dcds.2021139 
[4] 
Kengo Matsumoto. Continuous orbit equivalence of topological Markov shifts and KMS states on Cuntz–Krieger algebras. Discrete & Continuous Dynamical Systems, 2020, 40 (10) : 58975909. doi: 10.3934/dcds.2020251 
[5] 
Danilo Antonio Caprio. A class of adding machines and Julia sets. Discrete & Continuous Dynamical Systems, 2016, 36 (11) : 59515970. doi: 10.3934/dcds.2016061 
[6] 
Lori Alvin. Toeplitz kneading sequences and adding machines. Discrete & Continuous Dynamical Systems, 2013, 33 (8) : 32773287. doi: 10.3934/dcds.2013.33.3277 
[7] 
W. Patrick Hooper, Richard Evan Schwartz. Billiards in nearly isosceles triangles. Journal of Modern Dynamics, 2009, 3 (2) : 159231. doi: 10.3934/jmd.2009.3.159 
[8] 
Alberto Bressan, Fabio S. Priuli. Nearly optimal patchy feedbacks. Discrete & Continuous Dynamical Systems, 2008, 21 (3) : 687701. doi: 10.3934/dcds.2008.21.687 
[9] 
W. Patrick Hooper, Richard Evan Schwartz. Erratum: Billiards in nearly isosceles triangles. Journal of Modern Dynamics, 2014, 8 (1) : 133137. doi: 10.3934/jmd.2014.8.133 
[10] 
Keonhee Lee, Kazuhiro Sakai. Various shadowing properties and their equivalence. Discrete & Continuous Dynamical Systems, 2005, 13 (2) : 533540. doi: 10.3934/dcds.2005.13.533 
[11] 
Olof Heden, Martin Hessler. On linear equivalence and Phelps codes. Advances in Mathematics of Communications, 2010, 4 (1) : 6981. doi: 10.3934/amc.2010.4.69 
[12] 
David M. McClendon. An AmbroseKakutani representation theorem for countableto1 semiflows. Discrete & Continuous Dynamical Systems  S, 2009, 2 (2) : 251268. doi: 10.3934/dcdss.2009.2.251 
[13] 
Brett M. Werner. An example of Kakutani equivalent and strong orbit equivalent substitution systems that are not conjugate. Discrete & Continuous Dynamical Systems  S, 2009, 2 (2) : 239249. doi: 10.3934/dcdss.2009.2.239 
[14] 
Jinglai Qiao, Li Yang, Jiawei Yao. Passive control for a class of Nonlinear systems by using the technique of Adding a power integrator. Numerical Algebra, Control & Optimization, 2020, 10 (3) : 381389. doi: 10.3934/naco.2020009 
[15] 
Luis Barreira, Liviu Horia Popescu, Claudia Valls. Generalized exponential behavior and topological equivalence. Discrete & Continuous Dynamical Systems  B, 2017, 22 (8) : 30233042. doi: 10.3934/dcdsb.2017161 
[16] 
Yvan Martel, Frank Merle. Inelastic interaction of nearly equal solitons for the BBM equation. Discrete & Continuous Dynamical Systems, 2010, 27 (2) : 487532. doi: 10.3934/dcds.2010.27.487 
[17] 
Dong Chen. Positive metric entropy in nondegenerate nearly integrable systems. Journal of Modern Dynamics, 2017, 11: 4356. doi: 10.3934/jmd.2017003 
[18] 
Weiguo Zhang, Yan Zhao, Xiang Li. Qualitative analysis to the traveling wave solutions of KakutaniKawahara equation and its approximate damped oscillatory solution. Communications on Pure & Applied Analysis, 2013, 12 (2) : 10751090. doi: 10.3934/cpaa.2013.12.1075 
[19] 
Michael C. Sullivan. Invariants of twistwise flow equivalence. Discrete & Continuous Dynamical Systems, 1998, 4 (3) : 475484. doi: 10.3934/dcds.1998.4.475 
[20] 
Olof Heden, Martin Hessler. On linear equivalence and Phelps codes. Addendum. Advances in Mathematics of Communications, 2011, 5 (3) : 543546. doi: 10.3934/amc.2011.5.543 
2020 Impact Factor: 0.848
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