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Robustly transitive singular sets via approach of an extended linear Poincaré flow
1.  LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, China, China 
2.  School of Mathematic Sciences, Peking University, Beijing, 100871 
[1] 
Shengzhi Zhu, Shaobo Gan, Lan Wen. Indices of singularities of robustly transitive sets. Discrete & Continuous Dynamical Systems  A, 2008, 21 (3) : 945957. doi: 10.3934/dcds.2008.21.945 
[2] 
Cheng Cheng, Shaobo Gan, Yi Shi. A robustly transitive diffeomorphism of Kan's type. Discrete & Continuous Dynamical Systems  A, 2018, 38 (2) : 867888. doi: 10.3934/dcds.2018037 
[3] 
Cristina Lizana, Vilton Pinheiro, Paulo Varandas. Contribution to the ergodic theory of robustly transitive maps. Discrete & Continuous Dynamical Systems  A, 2015, 35 (1) : 353365. doi: 10.3934/dcds.2015.35.353 
[4] 
Pablo G. Barrientos, Artem Raibekas. Robustly nonhyperbolic transitive symplectic dynamics. Discrete & Continuous Dynamical Systems  A, 2018, 38 (12) : 59936013. doi: 10.3934/dcds.2018259 
[5] 
Yi Shi, Shaobo Gan, Lan Wen. On the singularhyperbolicity of star flows. Journal of Modern Dynamics, 2014, 8 (2) : 191219. doi: 10.3934/jmd.2014.8.191 
[6] 
Sergey Kryzhevich, Sergey Tikhomirov. Partial hyperbolicity and central shadowing. Discrete & Continuous Dynamical Systems  A, 2013, 33 (7) : 29012909. doi: 10.3934/dcds.2013.33.2901 
[7] 
Ángela JiménezCasas, Aníbal RodríguezBernal. Linear model of traffic flow in an isolated network. Conference Publications, 2015, 2015 (special) : 670677. doi: 10.3934/proc.2015.0670 
[8] 
Barbara Lee Keyfitz, Richard Sanders, Michael Sever. Lack of hyperbolicity in the twofluid model for twophase incompressible flow. Discrete & Continuous Dynamical Systems  B, 2003, 3 (4) : 541563. doi: 10.3934/dcdsb.2003.3.541 
[9] 
Dimitra Antonopoulou, Georgia Karali. A nonlinear partial differential equation for the volume preserving mean curvature flow. Networks & Heterogeneous Media, 2013, 8 (1) : 922. doi: 10.3934/nhm.2013.8.9 
[10] 
Seyedeh Marzieh Ghavidel, Wolfgang M. Ruess. Flow invariance for nonautonomous nonlinear partial differential delay equations. Communications on Pure & Applied Analysis, 2012, 11 (6) : 23512369. doi: 10.3934/cpaa.2012.11.2351 
[11] 
Fanghua Lin, Chun Liu. Partial regularity of the dynamic system modeling the flow of liquid crystals. Discrete & Continuous Dynamical Systems  A, 1996, 2 (1) : 122. doi: 10.3934/dcds.1996.2.1 
[12] 
Yakov Pesin. On the work of Dolgopyat on partial and nonuniform hyperbolicity. Journal of Modern Dynamics, 2010, 4 (2) : 227241. doi: 10.3934/jmd.2010.4.227 
[13] 
Federico Rodriguez Hertz, María Alejandra Rodriguez Hertz, Raúl Ures. Partial hyperbolicity and ergodicity in dimension three. Journal of Modern Dynamics, 2008, 2 (2) : 187208. doi: 10.3934/jmd.2008.2.187 
[14] 
Jérôme Buzzi, Todd Fisher. Entropic stability beyond partial hyperbolicity. Journal of Modern Dynamics, 2013, 7 (4) : 527552. doi: 10.3934/jmd.2013.7.527 
[15] 
Artyom Nahapetyan, Panos M. Pardalos. A bilinear relaxation based algorithm for concave piecewise linear network flow problems. Journal of Industrial & Management Optimization, 2007, 3 (1) : 7185. doi: 10.3934/jimo.2007.3.71 
[16] 
K.H. Wong, C. Myburgh, L. Omari. A gradient flow approach for computing jump linear quadratic optimal feedback gains. Discrete & Continuous Dynamical Systems  A, 2000, 6 (4) : 803808. doi: 10.3934/dcds.2000.6.803 
[17] 
Andy Hammerlindl. Partial hyperbolicity on 3dimensional nilmanifolds. Discrete & Continuous Dynamical Systems  A, 2013, 33 (8) : 36413669. doi: 10.3934/dcds.2013.33.3641 
[18] 
Eleonora Catsigeras, Xueting Tian. Dominated splitting, partial hyperbolicity and positive entropy. Discrete & Continuous Dynamical Systems  A, 2016, 36 (9) : 47394759. doi: 10.3934/dcds.2016006 
[19] 
Rafael Potrie. Partial hyperbolicity and foliations in $\mathbb{T}^3$. Journal of Modern Dynamics, 2015, 9: 81121. doi: 10.3934/jmd.2015.9.81 
[20] 
Yoshikazu Giga, Hiroyoshi Mitake, Hung V. Tran. Remarks on large time behavior of levelset mean curvature flow equations with driving and source terms. Discrete & Continuous Dynamical Systems  B, 2017, 22 (11) : 00. doi: 10.3934/dcdsb.2019228 
2018 Impact Factor: 1.143
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