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Numerical computation of dichotomy rates and projectors in discrete time
1.  Fakultät für Mathematik, Universität Bielefeld, Postfach 100131, 33501 Bielefeld 
[1] 
Mihail Megan, Adina Luminiţa Sasu, Bogdan Sasu. Discrete admissibility and exponential dichotomy for evolution families. Discrete and Continuous Dynamical Systems, 2003, 9 (2) : 383397. doi: 10.3934/dcds.2003.9.383 
[2] 
Zhuoyi Xu, Yong Xia, Deren Han. On boxconstrained total least squares problem. Numerical Algebra, Control and Optimization, 2020, 10 (4) : 439449. doi: 10.3934/naco.2020043 
[3] 
Christian Pötzsche. Dichotomy spectra of triangular equations. Discrete and Continuous Dynamical Systems, 2016, 36 (1) : 423450. doi: 10.3934/dcds.2016.36.423 
[4] 
Éder Rítis Aragão Costa. An extension of the concept of exponential dichotomy in Fréchet spaces which is stable under perturbation. Communications on Pure and Applied Analysis, 2019, 18 (2) : 845868. doi: 10.3934/cpaa.2019041 
[5] 
Piotr Kowalski. The existence of a solution for Dirichlet boundary value problem for a Duffing type differential inclusion. Discrete and Continuous Dynamical Systems  B, 2014, 19 (8) : 25692580. doi: 10.3934/dcdsb.2014.19.2569 
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Shaoyong Lai, Yong Hong Wu, Xu Yang. The global solution of an initial boundary value problem for the damped Boussinesq equation. Communications on Pure and Applied Analysis, 2004, 3 (2) : 319328. doi: 10.3934/cpaa.2004.3.319 
[7] 
António J.G. Bento, Nicolae Lupa, Mihail Megan, César M. Silva. Integral conditions for nonuniform $μ$dichotomy on the halfline. Discrete and Continuous Dynamical Systems  B, 2017, 22 (8) : 30633077. doi: 10.3934/dcdsb.2017163 
[8] 
Kristin Dettmers, Robert Giza, Rafael Morales, John A. Rock, Christina Knox. A survey of complex dimensions, measurability, and the lattice/nonlattice dichotomy. Discrete and Continuous Dynamical Systems  S, 2017, 10 (2) : 213240. doi: 10.3934/dcdss.2017011 
[9] 
Nguyen Thieu Huy, Ngo Quy Dang. Dichotomy and periodic solutions to partial functional differential equations. Discrete and Continuous Dynamical Systems  B, 2017, 22 (8) : 31273144. doi: 10.3934/dcdsb.2017167 
[10] 
Yu Tian, John R. Graef, Lingju Kong, Min Wang. Existence of solutions to a multipoint boundary value problem for a second order differential system via the dual least action principle. Conference Publications, 2013, 2013 (special) : 759769. doi: 10.3934/proc.2013.2013.759 
[11] 
Chengjin Li. Parameterrelated projectionbased iterative algorithm for a kind of generalized positive semidefinite least squares problem. Numerical Algebra, Control and Optimization, 2020, 10 (4) : 511520. doi: 10.3934/naco.2020048 
[12] 
Xiaoyun Cai, Liangwen Liao, Yongzhong Sun. Global strong solution to the initialboundary value problem of a 2D KazhikhovSmagulov type model. Discrete and Continuous Dynamical Systems  S, 2014, 7 (5) : 917923. doi: 10.3934/dcdss.2014.7.917 
[13] 
Peng Jiang. Unique global solution of an initialboundary value problem to a diffusion approximation model in radiation hydrodynamics. Discrete and Continuous Dynamical Systems, 2015, 35 (7) : 30153037. doi: 10.3934/dcds.2015.35.3015 
[14] 
Ciprian Preda. Discretetime theorems for the dichotomy of oneparameter semigroups. Communications on Pure and Applied Analysis, 2008, 7 (2) : 457463. doi: 10.3934/cpaa.2008.7.457 
[15] 
Thai Son Doan, Martin Rasmussen, Peter E. Kloeden. The meansquare dichotomy spectrum and a bifurcation to a meansquare attractor. Discrete and Continuous Dynamical Systems  B, 2015, 20 (3) : 875887. doi: 10.3934/dcdsb.2015.20.875 
[16] 
Bassam Fayad, A. Windsor. A dichotomy between discrete and continuous spectrum for a class of special flows over rotations. Journal of Modern Dynamics, 2007, 1 (1) : 107122. doi: 10.3934/jmd.2007.1.107 
[17] 
Le Viet Cuong, Thai Son Doan. Assignability of dichotomy spectra for discrete timevarying linear control systems. Discrete and Continuous Dynamical Systems  B, 2020, 25 (9) : 35973607. doi: 10.3934/dcdsb.2020074 
[18] 
Álvaro Castañeda, Gonzalo Robledo. Dichotomy spectrum and almost topological conjugacy on nonautonomus unbounded difference systems. Discrete and Continuous Dynamical Systems, 2018, 38 (5) : 22872304. doi: 10.3934/dcds.2018094 
[19] 
Jingli Ren, Dandan Zhu, Haiyan Wang. Spreadingvanishing dichotomy in information diffusion in online social networks with intervention. Discrete and Continuous Dynamical Systems  B, 2019, 24 (4) : 18431865. doi: 10.3934/dcdsb.2018240 
[20] 
Chris Good, Robert Leek, Joel Mitchell. Equicontinuity, transitivity and sensitivity: The AuslanderYorke dichotomy revisited. Discrete and Continuous Dynamical Systems, 2020, 40 (4) : 24412474. doi: 10.3934/dcds.2020121 
2020 Impact Factor: 1.327
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