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Growth rates and nonuniform hyperbolicity
1.  Departamento de Matemática, Instituto Superior Técnico, Universidade de Lisboa, 1049001 Lisboa 
2.  Departamento de Matemática, Instituto Superior Técnico, 1049001 Lisboa 
[1] 
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Wilhelm Schlag. Regularity and convergence rates for the Lyapunov exponents of linear cocycles. Journal of Modern Dynamics, 2013, 7 (4) : 619637. doi: 10.3934/jmd.2013.7.619 
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Luis Barreira, Claudia Valls. Quadratic Lyapunov sequences and arbitrary growth rates. Discrete and Continuous Dynamical Systems, 2010, 26 (1) : 6374. doi: 10.3934/dcds.2010.26.63 
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Peter E. Kloeden, Jacson Simsen, Petra Wittbold. Asymptotic behavior of coupled inclusions with variable exponents. Communications on Pure and Applied Analysis, 2020, 19 (2) : 10011016. doi: 10.3934/cpaa.2020046 
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Zoltán Buczolich, Gabriella Keszthelyi. Isentropes and Lyapunov exponents. Discrete and Continuous Dynamical Systems, 2020, 40 (4) : 19892009. doi: 10.3934/dcds.2020102 
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Andy Hammerlindl. Integrability and Lyapunov exponents. Journal of Modern Dynamics, 2011, 5 (1) : 107122. doi: 10.3934/jmd.2011.5.107 
[9] 
Fumihiko Nakamura, Yushi Nakano, Hisayoshi Toyokawa. Lyapunov exponents for random maps. Discrete and Continuous Dynamical Systems  B, 2022, 27 (12) : 76577669. doi: 10.3934/dcdsb.2022058 
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Yuanyuan Liu, Youshan Tao. Asymptotic behavior in a chemotaxisgrowth system with nonlinear production of signals. Discrete and Continuous Dynamical Systems  B, 2017, 22 (2) : 465475. doi: 10.3934/dcdsb.2017021 
[11] 
Shrihari Sridharan, Atma Ram Tiwari. The dependence of Lyapunov exponents of polynomials on their coefficients. Journal of Computational Dynamics, 2019, 6 (1) : 95109. doi: 10.3934/jcd.2019004 
[12] 
Chao Liang, Wenxiang Sun, Jiagang Yang. Some results on perturbations of Lyapunov exponents. Discrete and Continuous Dynamical Systems, 2012, 32 (12) : 42874305. doi: 10.3934/dcds.2012.32.4287 
[13] 
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[14] 
Nguyen Dinh Cong, Thai Son Doan, Stefan Siegmund. On Lyapunov exponents of difference equations with random delay. Discrete and Continuous Dynamical Systems  B, 2015, 20 (3) : 861874. doi: 10.3934/dcdsb.2015.20.861 
[15] 
Lucas Backes, Aaron Brown, Clark Butler. Continuity of Lyapunov exponents for cocycles with invariant holonomies. Journal of Modern Dynamics, 2018, 12: 223260. doi: 10.3934/jmd.2018009 
[16] 
Alena Erchenko. Flexibility of Lyapunov exponents for expanding circle maps. Discrete and Continuous Dynamical Systems, 2019, 39 (5) : 23252342. doi: 10.3934/dcds.2019098 
[17] 
Jianyu Chen. On essential coexistence of zero and nonzero Lyapunov exponents. Discrete and Continuous Dynamical Systems, 2012, 32 (12) : 41494170. doi: 10.3934/dcds.2012.32.4149 
[18] 
Paul L. Salceanu, H. L. Smith. Lyapunov exponents and persistence in discrete dynamical systems. Discrete and Continuous Dynamical Systems  B, 2009, 12 (1) : 187203. doi: 10.3934/dcdsb.2009.12.187 
[19] 
Andrey Gogolev, Ali Tahzibi. Center Lyapunov exponents in partially hyperbolic dynamics. Journal of Modern Dynamics, 2014, 8 (3&4) : 549576. doi: 10.3934/jmd.2014.8.549 
[20] 
Luis Barreira, César Silva. Lyapunov exponents for continuous transformations and dimension theory. Discrete and Continuous Dynamical Systems, 2005, 13 (2) : 469490. doi: 10.3934/dcds.2005.13.469 
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