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Structure of index sequences for mappings with an asymptotic derivative
On Ulam approximation of the isolated spectrum and eigenfunctions of hyperbolic maps
1.  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] 
Martin Lustig, Caglar Uyanik. PerronFrobenius theory and frequency convergence for reducible substitutions. Discrete & Continuous Dynamical Systems  A, 2017, 37 (1) : 355385. doi: 10.3934/dcds.2017015 
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Gary Froyland, Ognjen Stancevic. Escape rates and PerronFrobenius operators: Open and closed dynamical systems. Discrete & Continuous Dynamical Systems  B, 2010, 14 (2) : 457472. doi: 10.3934/dcdsb.2010.14.457 
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Marianne Akian, Stéphane Gaubert, Antoine Hochart. A game theory approach to the existence and uniqueness of nonlinear PerronFrobenius eigenvectors. Discrete & Continuous Dynamical Systems  A, 2020, 40 (1) : 207231. doi: 10.3934/dcds.2020009 
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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 
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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 
[7] 
Christopher Bose, Rua Murray. The exact rate of approximation in Ulam's method. Discrete & Continuous Dynamical Systems  A, 2001, 7 (1) : 219235. doi: 10.3934/dcds.2001.7.219 
[8] 
Jiu Ding, Noah H. Rhee. A unified maximum entropy method via spline functions for FrobeniusPerron operators. Numerical Algebra, Control & Optimization, 2013, 3 (2) : 235245. doi: 10.3934/naco.2013.3.235 
[9] 
HsuanWen Su. Finding invariant tori with Poincare's map. Communications on Pure & Applied Analysis, 2008, 7 (2) : 433443. doi: 10.3934/cpaa.2008.7.433 
[10] 
Rua Murray. Ulam's method for some nonuniformly expanding maps. Discrete & Continuous Dynamical Systems  A, 2010, 26 (3) : 10071018. doi: 10.3934/dcds.2010.26.1007 
[11] 
Paweł Góra, Abraham Boyarsky. Stochastic perturbations and Ulam's method for Wshaped maps. Discrete & Continuous Dynamical Systems  A, 2013, 33 (5) : 19371944. doi: 10.3934/dcds.2013.33.1937 
[12] 
Amadeu Delshams, Marian Gidea, Pablo Roldán. Transition map and shadowing lemma for normally hyperbolic invariant manifolds. Discrete & Continuous Dynamical Systems  A, 2013, 33 (3) : 10891112. doi: 10.3934/dcds.2013.33.1089 
[13] 
Sebastián Ferrer, Francisco Crespo. Alternative anglebased approach to the $\mathcal{KS}$Map. An interpretation through symmetry and reduction. Journal of Geometric Mechanics, 2018, 10 (3) : 359372. doi: 10.3934/jgm.2018013 
[14] 
Vladimir Varlamov. Eigenfunction expansion method and the longtime asymptotics for the damped Boussinesq equation. Discrete & Continuous Dynamical Systems  A, 2001, 7 (4) : 675702. doi: 10.3934/dcds.2001.7.675 
[15] 
Marc Kesseböhmer, Sabrina Kombrink. A complex RuellePerronFrobenius theorem for infinite Markov shifts with applications to renewal theory. Discrete & Continuous Dynamical Systems  S, 2017, 10 (2) : 335352. doi: 10.3934/dcdss.2017016 
[16] 
Gary Froyland, Cecilia GonzálezTokman, Anthony Quas. Detecting isolated spectrum of transfer and Koopman operators with Fourier analytic tools. Journal of Computational Dynamics, 2014, 1 (2) : 249278. doi: 10.3934/jcd.2014.1.249 
[17] 
R. Baier, M. Dellnitz, M. Hesselvon Molo, S. Sertl, I. G. Kevrekidis. The computation of convex invariant sets via Newton's method. Journal of Computational Dynamics, 2014, 1 (1) : 3969. doi: 10.3934/jcd.2014.1.39 
[18] 
James W. Cannon, Mark H. Meilstrup, Andreas Zastrow. The period set of a map from the Cantor set to itself. Discrete & Continuous Dynamical Systems  A, 2013, 33 (7) : 26672679. doi: 10.3934/dcds.2013.33.2667 
[19] 
Huyuan Chen, Feng Zhou. Isolated singularities for elliptic equations with hardy operator and source nonlinearity. Discrete & Continuous Dynamical Systems  A, 2018, 38 (6) : 29452964. doi: 10.3934/dcds.2018126 
[20] 
Lorenzo Arona, Josep J. Masdemont. Computation of heteroclinic orbits between normally hyperbolic invariant 3spheres foliated by 2dimensional invariant Tori in Hill's problem. Conference Publications, 2007, 2007 (Special) : 6474. doi: 10.3934/proc.2007.2007.64 
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