Pötzsche, Christian; Russ, Evamaria Topological decoupling and linearization of nonautonomous evolution equations. (English) Zbl 1366.37062 Discrete Contin. Dyn. Syst., Ser. S 9, No. 4, 1235-1268 (2016). MSC: 37C60 37D10 37L25 35K57 PDFBibTeX XMLCite \textit{C. Pötzsche} and \textit{E. Russ}, Discrete Contin. Dyn. Syst., Ser. S 9, No. 4, 1235--1268 (2016; Zbl 1366.37062) Full Text: DOI
Pötzsche, Christian Nonautonomous bifurcation of bounded solutions. II: A shovel-bifurcation pattern. (English) Zbl 1258.37029 Discrete Contin. Dyn. Syst. 31, No. 3, 941-973 (2011). Reviewer: José A. Langa (Sevilla) MSC: 37C60 39A28 37D10 37G10 PDFBibTeX XMLCite \textit{C. Pötzsche}, Discrete Contin. Dyn. Syst. 31, No. 3, 941--973 (2011; Zbl 1258.37029) Full Text: DOI
Pötzsche, Christian Extended hierarchies of invariant fiber bundles for dynamic equations on measure chains. (English) Zbl 1213.37048 Differ. Equ. Dyn. Syst. 18, No. 1-2, 105-133 (2010). Reviewer: Yuri V. Rogovchenko (Umeå) MSC: 37D10 37B55 37C60 PDFBibTeX XMLCite \textit{C. Pötzsche}, Differ. Equ. Dyn. Syst. 18, No. 1--2, 105--133 (2010; Zbl 1213.37048) Full Text: DOI
Pötzsche, Christian Geometric theory of discrete nonautonomous dynamical systems. (English) Zbl 1247.37003 Lecture Notes in Mathematics 2002. Berlin: Springer (ISBN 978-3-642-14257-4/pbk; 978-3-642-14258-1/ebook). xxiv, 399 p. (2010). Reviewer: Jörg Härterich (Bochum) MSC: 37-02 37B55 39A06 39A14 39A30 37L25 37D10 37C15 PDFBibTeX XMLCite \textit{C. Pötzsche}, Geometric theory of discrete nonautonomous dynamical systems. Berlin: Springer (2010; Zbl 1247.37003) 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 Topological decoupling, linearization and perturbation on inhomogeneous time scales. (English) Zbl 1190.34120 J. Differ. Equations 245, No. 5, 1210-1242 (2008). Reviewer: Roman Šimon Hilscher (Brno) MSC: 34N05 34D10 37D10 34C20 PDFBibTeX XMLCite \textit{C. Pötzsche}, J. Differ. Equations 245, No. 5, 1210--1242 (2008; Zbl 1190.34120) Full Text: DOI
Pötzsche, Christian Attractive invariant fiber bundles. (English) Zbl 1127.37023 Appl. Anal. 86, No. 6, 687-722 (2007). Reviewer: Yuri V. Rogovchenko (Kalmar) MSC: 37B55 39A14 37D10 65Q05 PDFBibTeX XMLCite \textit{C. Pötzsche}, Appl. Anal. 86, No. 6, 687--722 (2007; Zbl 1127.37023) Full Text: DOI
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 Local approximation of invariant fiber bundles: an algorithmic approach. (English) Zbl 1094.65128 Allen, Linda J. S. (ed.) et al., Difference equations and discrete dynamical systems. Proceedings of the 9th international conference, Los Angeles, CA, USA, August 2–7, 2004. Hackensack, NJ: World Scientific (ISBN 981-256-520-5/hbk). 155-170 (2005). MSC: 65P40 37-04 37D10 37C60 PDFBibTeX XMLCite \textit{C. Pötzsche} and \textit{M. Rasmussen}, in: Difference equations and discrete dynamical systems. Proceedings of the 9th international conference, Los Angeles, CA, USA, August 2--7, 2004. Hackensack, NJ: World Scientific. 155--170 (2005; Zbl 1094.65128)
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
Pötzsche, Christian; Siegmund, Stefan \(\mathcal{C}^m\)-smoothness of invariant fiber bundles for dynamic equations on measure chains. (English) Zbl 1086.37016 Adv. Difference Equ. 2004, No. 2, 141-182 (2004). MSC: 37D10 37C60 39A05 34C30 PDFBibTeX XMLCite \textit{C. Pötzsche} and \textit{S. Siegmund}, Adv. Difference Equ. 2004, No. 2, 141--182 (2004; Zbl 1086.37016) Full Text: DOI EuDML
Pötzsche, Christian Stability of center fiber bundles for nonautonomous difference equations. (English) Zbl 1074.37018 Elaydi, Saber (ed.) et al., Difference and differential equations. Proceedings of the 7th international conference on difference equations and applications (ICDEA), Changsha, China, August 12–17, 2002. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3354-5/hbk). Fields Institute Communications 42, 295-304 (2004). Reviewer: Victor I. Tkachenko (Kyïv) MSC: 37C60 39A11 37D10 37C75 PDFBibTeX XMLCite \textit{C. Pötzsche}, Fields Inst. Commun. 42, 295--304 (2004; Zbl 1074.37018)
Pötzsche, Christian Two perturbation results for semi-linear dynamic equations on measure chains. (English) Zbl 1065.39038 Aulbach, Bernd (ed.) et al., New progress in difference equations. Proceedings of the 6th international conference on difference equations, Augsburg, Germany July 30–August 3, 2001. Boca Raton, FL: CRC Press (ISBN 0-415-31675-8/hbk). 325-334 (2004). MSC: 39A13 39A14 37D10 37C75 PDFBibTeX XMLCite \textit{C. Pötzsche}, in: New progress in difference equations. Proceedings of the 6th international conference on difference equations, Augsburg, Germany July 30--August 3, 2001. Boca Raton, FL: CRC Press. 325--334 (2004; Zbl 1065.39038)
Pötzsche, Christian; Siegmund, Stefan \(C^m\)-smoothness of invariant fiber bundles. (English) Zbl 1075.39014 Topol. Methods Nonlinear Anal. 24, No. 1, 107-145 (2004). Reviewer: Ahmed Hegazi (Mansoura) MSC: 39A12 39A11 37B55 37D10 PDFBibTeX XMLCite \textit{C. Pötzsche} and \textit{S. Siegmund}, Topol. Methods Nonlinear Anal. 24, No. 1, 107--145 (2004; Zbl 1075.39014) Full Text: DOI
Aulbach, B.; Pötzsche, C. Invariant manifolds with asymptotic phase for nonautonomous difference equations. (English) Zbl 1067.39031 Comput. Math. Appl. 45, No. 6-9, 1385-1398 (2003). Reviewer: Ahmed Hegazi (Mansoura) MSC: 39A12 37D10 PDFBibTeX XMLCite \textit{B. Aulbach} and \textit{C. Pötzsche}, Comput. Math. Appl. 45, No. 6--9, 1385--1398 (2003; Zbl 1067.39031) Full Text: DOI
Pötzsche, Christian Pseudo-stable and pseudo-unstable fiber bundles for dynamic equations on measure chains. (English) Zbl 1046.39011 J. Difference Equ. Appl. 9, No. 10, 947-968 (2003). Reviewer: Marat Akhmet (Ankara) MSC: 39A12 39A11 37B55 37D10 PDFBibTeX XMLCite \textit{C. Pötzsche}, J. Difference Equ. Appl. 9, No. 10, 947--968 (2003; Zbl 1046.39011) Full Text: DOI
Aulbach, Bernd; Pötzsche, Christian; Siegmund, Stefan A smoothness theorem for invariant fiber bundles. (English) Zbl 1037.37013 J. Dyn. Differ. Equations 14, No. 3, 519-547 (2002). Reviewer: Stefan Hilger (Eichstätt) MSC: 37D10 37C60 39A05 PDFBibTeX XMLCite \textit{B. Aulbach} et al., J. Dyn. Differ. Equations 14, No. 3, 519--547 (2002; Zbl 1037.37013) Full Text: DOI