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Global and local complexity in weakly chaotic dynamical systems
1.  Dipartimento di Matematica Applicata, Università di Pisa, Via Bonanno Pisano, Italy 
[1] 
Luiza H. F. Andrade, Rui F. Vigelis, Charles C. Cavalcante. A generalized quantum relative entropy. Advances in Mathematics of Communications, 2020, 14 (3) : 413422. doi: 10.3934/amc.2020063 
[2] 
Luis Barreira, Liviu Horia Popescu, Claudia Valls. Generalized exponential behavior and topological equivalence. Discrete and Continuous Dynamical Systems  B, 2017, 22 (8) : 30233042. doi: 10.3934/dcdsb.2017161 
[3] 
Ting Yang. Homoclinic orbits and chaos in the generalized Lorenz system. Discrete and Continuous Dynamical Systems  B, 2020, 25 (3) : 10971108. doi: 10.3934/dcdsb.2019210 
[4] 
Stefano Galatolo. Orbit complexity and data compression. Discrete and Continuous Dynamical Systems, 2001, 7 (3) : 477486. doi: 10.3934/dcds.2001.7.477 
[5] 
Alina Ostafe, Igor E. Shparlinski, Arne Winterhof. On the generalized joint linear complexity profile of a class of nonlinear pseudorandom multisequences. Advances in Mathematics of Communications, 2010, 4 (3) : 369379. doi: 10.3934/amc.2010.4.369 
[6] 
Changchun Liu, Jingxue Yin, Juan Zhou. Existence of weak solutions for a generalized thin film equation. Communications on Pure and Applied Analysis, 2007, 6 (2) : 465480. doi: 10.3934/cpaa.2007.6.465 
[7] 
Ghassen Askri. LiYorke chaos for dendrite maps with zero topological entropy and ωlimit sets. Discrete and Continuous Dynamical Systems, 2017, 37 (6) : 29572976. doi: 10.3934/dcds.2017127 
[8] 
Dominik Kwietniak. Topological entropy and distributional chaos in hereditary shifts with applications to spacing shifts and beta shifts. Discrete and Continuous Dynamical Systems, 2013, 33 (6) : 24512467. doi: 10.3934/dcds.2013.33.2451 
[9] 
Jakub Šotola. Relationship between LiYorke chaos and positive topological sequence entropy in nonautonomous dynamical systems. Discrete and Continuous Dynamical Systems, 2018, 38 (10) : 51195128. doi: 10.3934/dcds.2018225 
[10] 
Youngae Lee. Nontopological solutions in a generalized ChernSimons model on torus. Communications on Pure and Applied Analysis, 2017, 16 (4) : 13151330. doi: 10.3934/cpaa.2017064 
[11] 
Eric A. Carlen, Maria C. Carvalho, Jonathan Le Roux, Michael Loss, Cédric Villani. Entropy and chaos in the Kac model. Kinetic and Related Models, 2010, 3 (1) : 85122. doi: 10.3934/krm.2010.3.85 
[12] 
Roland Zweimüller. Asymptotic orbit complexity of infinite measure preserving transformations. Discrete and Continuous Dynamical Systems, 2006, 15 (1) : 353366. doi: 10.3934/dcds.2006.15.353 
[13] 
Lin Yi, Xiangyong Zeng, Zhimin Sun, Shasha Zhang. On the linear complexity and autocorrelation of generalized cyclotomic binary sequences with period $ 4p^n $. Advances in Mathematics of Communications, 2021 doi: 10.3934/amc.2021019 
[14] 
Andres del Junco, Daniel J. Rudolph, Benjamin Weiss. Measured topological orbit and Kakutani equivalence. Discrete and Continuous Dynamical Systems  S, 2009, 2 (2) : 221238. doi: 10.3934/dcdss.2009.2.221 
[15] 
Valentin Afraimovich, Maurice Courbage, Lev Glebsky. Directional complexity and entropy for lift mappings. Discrete and Continuous Dynamical Systems  B, 2015, 20 (10) : 33853401. doi: 10.3934/dcdsb.2015.20.3385 
[16] 
Wenyan Zhang, Shu Xu, Shengji Li, Xuexiang Huang. Generalized weak sharp minima of variational inequality problems with functional constraints. Journal of Industrial and Management Optimization, 2013, 9 (3) : 621630. doi: 10.3934/jimo.2013.9.621 
[17] 
Mahmut Çalik, Marcel Oliver. Weak solutions for generalized largescale semigeostrophic equations. Communications on Pure and Applied Analysis, 2013, 12 (2) : 939955. doi: 10.3934/cpaa.2013.12.939 
[18] 
Shaoyong Lai, Qichang Xie, Yunxi Guo, YongHong Wu. The existence of weak solutions for a generalized CamassaHolm equation. Communications on Pure and Applied Analysis, 2011, 10 (1) : 4557. doi: 10.3934/cpaa.2011.10.45 
[19] 
ChienHong Cho, Marcus Wunsch. Global weak solutions to the generalized ProudmanJohnson equation. Communications on Pure and Applied Analysis, 2012, 11 (4) : 13871396. doi: 10.3934/cpaa.2012.11.1387 
[20] 
Fanqin Zeng, Yu Gao, Xiaoping Xue. Global weak solutions to the generalized mCH equation via characteristics. Discrete and Continuous Dynamical Systems  B, 2021 doi: 10.3934/dcdsb.2021229 
2020 Impact Factor: 1.392
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