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Asymptotic behaviour of a stochastic semilinear dissipative functional equation without uniqueness of solutions
Escape rates and PerronFrobenius operators: Open and closed dynamical systems
1.  School of Mathematics and Statistics, University of New South Wales, Sydney NSW 2052 
2.  School of Mathematics and Statistics, University of New South Wales, Sydney, NSW 2052, Australia 
[1] 
Stefan Klus, Péter Koltai, Christof Schütte. On the numerical approximation of the PerronFrobenius and Koopman operator. Journal of Computational Dynamics, 2016, 3 (1) : 5179. doi: 10.3934/jcd.2016003 
[2] 
Gary Froyland, Philip K. Pollett, Robyn M. Stuart. A closing scheme for finding almostinvariant sets in open dynamical systems. Journal of Computational Dynamics, 2014, 1 (1) : 135162. doi: 10.3934/jcd.2014.1.135 
[3] 
Martin Lustig, Caglar Uyanik. PerronFrobenius theory and frequency convergence for reducible substitutions. Discrete and Continuous Dynamical Systems, 2017, 37 (1) : 355385. doi: 10.3934/dcds.2017015 
[4] 
Marianne Akian, Stéphane Gaubert, Antoine Hochart. A game theory approach to the existence and uniqueness of nonlinear PerronFrobenius eigenvectors. Discrete and Continuous Dynamical Systems, 2020, 40 (1) : 207231. doi: 10.3934/dcds.2020009 
[5] 
Stefan Klus, Christof Schütte. Towards tensorbased methods for the numerical approximation of the PerronFrobenius and Koopman operator. Journal of Computational Dynamics, 2016, 3 (2) : 139161. doi: 10.3934/jcd.2016007 
[6] 
Jiu Ding, Noah H. Rhee. A unified maximum entropy method via spline functions for FrobeniusPerron operators. Numerical Algebra, Control and Optimization, 2013, 3 (2) : 235245. doi: 10.3934/naco.2013.3.235 
[7] 
Dante CarrascoOlivera, Roger Metzger Alvan, Carlos Arnoldo Morales Rojas. Topological entropy for setvalued maps. Discrete and Continuous Dynamical Systems  B, 2015, 20 (10) : 34613474. doi: 10.3934/dcdsb.2015.20.3461 
[8] 
Xiaomin Zhou. Relative entropy dimension of topological dynamical systems. Discrete and Continuous Dynamical Systems, 2019, 39 (11) : 66316642. doi: 10.3934/dcds.2019288 
[9] 
Yun Zhao, WenChiao Cheng, ChihChang Ho. Qentropy for general topological dynamical systems. Discrete and Continuous Dynamical Systems, 2019, 39 (4) : 20592075. doi: 10.3934/dcds.2019086 
[10] 
João Ferreira Alves, Michal Málek. Zeta functions and topological entropy of periodic nonautonomous dynamical systems. Discrete and Continuous Dynamical Systems, 2013, 33 (2) : 465482. doi: 10.3934/dcds.2013.33.465 
[11] 
Julian Newman. Synchronisation of almost all trajectories of a random dynamical system. Discrete and Continuous Dynamical Systems, 2020, 40 (7) : 41634177. doi: 10.3934/dcds.2020176 
[12] 
Karsten Keller, Sergiy Maksymenko, Inga Stolz. Entropy determination based on the ordinal structure of a dynamical system. Discrete and Continuous Dynamical Systems  B, 2015, 20 (10) : 35073524. doi: 10.3934/dcdsb.2015.20.3507 
[13] 
Zhiming Li, Lin Shu. The metric entropy of random dynamical systems in a Hilbert space: Characterization of invariant measures satisfying Pesin's entropy formula. Discrete and Continuous Dynamical Systems, 2013, 33 (9) : 41234155. doi: 10.3934/dcds.2013.33.4123 
[14] 
Marc Kesseböhmer, Sabrina Kombrink. A complex RuellePerronFrobenius theorem for infinite Markov shifts with applications to renewal theory. Discrete and Continuous Dynamical Systems  S, 2017, 10 (2) : 335352. doi: 10.3934/dcdss.2017016 
[15] 
JeanBaptiste Bardet, Bastien Fernandez. Extensive escape rate in lattices of weakly coupled expanding maps. Discrete and Continuous Dynamical Systems, 2011, 31 (3) : 669684. doi: 10.3934/dcds.2011.31.669 
[16] 
Wael Bahsoun, Christopher Bose. Quasiinvariant measures, escape rates and the effect of the hole. Discrete and Continuous Dynamical Systems, 2010, 27 (3) : 11071121. doi: 10.3934/dcds.2010.27.1107 
[17] 
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 
[18] 
Katrin Gelfert. Lower bounds for the topological entropy. Discrete and Continuous Dynamical Systems, 2005, 12 (3) : 555565. doi: 10.3934/dcds.2005.12.555 
[19] 
Jaume Llibre. Brief survey on the topological entropy. Discrete and Continuous Dynamical Systems  B, 2015, 20 (10) : 33633374. doi: 10.3934/dcdsb.2015.20.3363 
[20] 
Alexey Glutsyuk, Yury Kudryashov. No planar billiard possesses an open set of quadrilateral trajectories. Journal of Modern Dynamics, 2012, 6 (3) : 287326. doi: 10.3934/jmd.2012.6.287 
2020 Impact Factor: 1.327
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