Huynh, Huy; Kloeden, Peter E.; Pötzsche, Christian Numerical dynamics of integrodifference equations: forward dynamics and pullback attractors. (English) Zbl 07708236 J. Comput. Dyn. 10, No. 2, 345-370 (2023). MSC: 65R20 65P40 37M21 37M22 PDFBibTeX XMLCite \textit{H. Huynh} et al., J. Comput. Dyn. 10, No. 2, 345--370 (2023; Zbl 07708236) Full Text: DOI arXiv
Pötzsche, Christian Uniform convergence of Nyström discretization on Hölder spaces. (English) Zbl 1498.45015 J. Integral Equations Appl. 34, No. 2, 247-255 (2022). Reviewer: Eduardo Cuesta (Valladolid) MSC: 45L05 45P05 45B05 47G10 65R20 PDFBibTeX XMLCite \textit{C. Pötzsche}, J. Integral Equations Appl. 34, No. 2, 247--255 (2022; Zbl 1498.45015) Full Text: DOI
Tranninger, Markus; Seeber, Richard; Steinberger, Martin; Horn, Martin; Pötzsche, Christian Detectability conditions and state estimation for linear time-varying and nonlinear systems. (English) Zbl 1498.93066 SIAM J. Control Optim. 60, No. 4, 2514-2537 (2022). MSC: 93B07 93C15 34D09 93C05 93C10 PDFBibTeX XMLCite \textit{M. Tranninger} et al., SIAM J. Control Optim. 60, No. 4, 2514--2537 (2022; Zbl 1498.93066) Full Text: DOI arXiv
Huynh, Huy; Kloeden, Peter E.; Pötzsche, Christian Forward and pullback dynamics of nonautonomous integrodifference equations: basic constructions. (English) Zbl 1495.37025 J. Dyn. Differ. Equations 34, No. 1, 671-699 (2022). MSC: 37C70 37C60 45G15 92D40 PDFBibTeX XMLCite \textit{H. Huynh} et al., J. Dyn. Differ. Equations 34, No. 1, 671--699 (2022; Zbl 1495.37025) Full Text: DOI arXiv
Pötzsche, Christian; Russ, Evamaria Reduction principle at work. (English) Zbl 1476.39019 Nonauton. Dyn. Syst. 8, 46-74 (2021). Reviewer: David Cheban (Chişinău) MSC: 39A30 PDFBibTeX XMLCite \textit{C. Pötzsche} and \textit{E. Russ}, Nonauton. Dyn. Syst. 8, 46--74 (2021; Zbl 1476.39019) Full Text: DOI
Pötzsche, Christian Dichotomy spectra of triangular equations. (English) Zbl 1364.39016 Discrete Contin. Dyn. Syst. 36, No. 1, 423-450 (2016). Reviewer: David Cheban (Chisinau) MSC: 39A30 34D09 37C60 47B37 PDFBibTeX XMLCite \textit{C. Pötzsche}, Discrete Contin. Dyn. Syst. 36, No. 1, 423--450 (2016; Zbl 1364.39016) Full Text: DOI
Kloeden, P. E.; Pötzsche, C. Nonautonomous bifurcation scenarios in SIR models. (English) Zbl 1357.37090 Math. Methods Appl. Sci. 38, No. 16, 3495-3518 (2015). MSC: 37N25 37C60 34C23 37G35 92D30 PDFBibTeX XMLCite \textit{P. E. Kloeden} and \textit{C. Pötzsche}, Math. Methods Appl. Sci. 38, No. 16, 3495--3518 (2015; Zbl 1357.37090) Full Text: DOI
Pötzsche, Christian Smooth roughness of exponential dichotomies, revisited. (English) Zbl 1334.39021 Discrete Contin. Dyn. Syst., Ser. B 20, No. 3, 853-859 (2015). MSC: 39A12 34D09 37B55 39A30 PDFBibTeX XMLCite \textit{C. Pötzsche}, Discrete Contin. Dyn. Syst., Ser. B 20, No. 3, 853--859 (2015; Zbl 1334.39021) Full Text: DOI
Kloeden, Peter E.; Pötzsche, Christian Nonautonomous dynamical systems in the life sciences. (English) Zbl 1311.37075 Kloeden, Peter E. (ed.) et al., Nonautonomous dynamical systems in the life sciences. Cham: Springer (ISBN 978-3-319-03079-1/pbk; 978-3-319-03080-7/ebook). Lecture Notes in Mathematics 2102. Mathematical Biosciences Subseries, 3-39 (2013). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37N25 37N35 37N40 PDFBibTeX XMLCite \textit{P. E. Kloeden} and \textit{C. Pötzsche}, Lect. Notes Math. 2102, 3--39 (2013; Zbl 1311.37075) Full Text: DOI
Pötzsche, Christian Fine structure of the dichotomy spectrum. (English) Zbl 1483.47011 Integral Equations Oper. Theory 73, No. 1, 107-151 (2012). MSC: 47A10 37D05 47A53 47B37 39A30 34D09 PDFBibTeX XMLCite \textit{C. Pötzsche}, Integral Equations Oper. Theory 73, No. 1, 107--151 (2012; Zbl 1483.47011) Full Text: DOI
Kloeden, Peter E.; Pötzsche, Christian; Rasmussen, Martin Limitations of pullback attractors for processes. (English) Zbl 1241.39004 J. Difference Equ. Appl. 18, No. 4, 693-701 (2012). MSC: 39A12 39A30 37B55 37C10 37D45 PDFBibTeX XMLCite \textit{P. E. Kloeden} et al., J. Difference Equ. Appl. 18, No. 4, 693--701 (2012; Zbl 1241.39004) Full Text: DOI
Pötzsche, Christian Nonautonomous bifurcation of bounded solutions: crossing curve situations. (English) Zbl 1284.37024 Stoch. Dyn. 12, No. 2, 1150017, 29 p. (2012). Reviewer: Kwok-wai Chung (Hong Kong) MSC: 37C60 34C23 34C05 34D05 47J15 37G99 PDFBibTeX XMLCite \textit{C. Pötzsche}, Stoch. Dyn. 12, No. 2, 1150017, 29 p. (2012; Zbl 1284.37024) Full Text: DOI
Pötzsche, Christian Persistence and imperfection of nonautonomous bifurcation patterns. (English) Zbl 1218.37035 J. Differ. Equations 250, No. 10, 3874-3906 (2011). Reviewer: Peter Zabreiko (Minsk) MSC: 37C60 34C23 34C05 34D05 47J15 PDFBibTeX XMLCite \textit{C. Pötzsche}, J. Differ. Equations 250, No. 10, 3874--3906 (2011; Zbl 1218.37035) Full Text: DOI
Pötzsche, Christian Robustness of hyperbolic solutions under parametric perturbations. (English) Zbl 1207.39017 J. Difference Equ. Appl. 15, No. 8-9, 803-819 (2009). Reviewer: Xianhua Tang (Changsha) MSC: 39A22 39A12 39A30 39A10 37C60 37D05 37C25 39A23 39A24 PDFBibTeX XMLCite \textit{C. Pötzsche}, J. Difference Equ. Appl. 15, No. 8--9, 803--819 (2009; Zbl 1207.39017) Full Text: DOI
Pötzsche, Christian; Rasmussen, Martin Computation of nonautonomous invariant and inertial manifolds. (English) Zbl 1169.65116 Numer. Math. 112, No. 3, 449-483 (2009). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65P40 39A11 65L12 65M06 37D10 65H10 37M25 PDFBibTeX XMLCite \textit{C. Pötzsche} and \textit{M. Rasmussen}, Numer. Math. 112, No. 3, 449--483 (2009; Zbl 1169.65116) Full Text: DOI Link
Pötzsche, Christian Invariant foliations and stability in critical cases. (English) Zbl 1139.39034 Adv. Difference Equ. 2006, Article ID 57043, 19 p. (2006). MSC: 39A12 34A34 PDFBibTeX XMLCite \textit{C. Pötzsche}, Adv. Difference Equ. 2006, Article ID 57043, 19 p. (2006; Zbl 1139.39034) Full Text: DOI EuDML
Pötzsche, Christian; Rasmussen, Martin Taylor approximation of integral manifolds. (English) Zbl 1106.34029 J. Dyn. Differ. Equations 18, No. 2, 427-460 (2006). Reviewer: Stefan Siegmund (Frankfurt) MSC: 34C45 37D10 37C10 37M99 PDFBibTeX XMLCite \textit{C. Pötzsche} and \textit{M. Rasmussen}, J. Dyn. Differ. Equations 18, No. 2, 427--460 (2006; Zbl 1106.34029) Full Text: DOI
Pötzsche, Christian; Rasmussen, Martin Taylor approximation of invariant fiber bundles for nonautonomous difference equations. (English) Zbl 1070.39023 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 60, No. 7, 1303-1330 (2005). Reviewer: Eduardo Liz (Vigo) MSC: 39A12 39A11 37D10 37C60 PDFBibTeX XMLCite \textit{C. Pötzsche} and \textit{M. Rasmussen}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 60, No. 7, 1303--1330 (2005; Zbl 1070.39023) Full Text: DOI