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Books:
- Nonautonomous Dynamical Systems (with P. Kloeden), Mathematical Surveys and Monographs 176, American Mathematical Society, 2011.
- Attractivity and Bifurcation for Nonautonomous Dynamical Systems, Lecture Notes in Mathematics 1907, Springer, 2007.
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Submitted journal articles:
- Topological bifurcations of minimal invariant sets for set-valued dynamical systems (with J. Lamb and C. Rodrigues).
- Areas of attraction for nonautonomous differential equations on finite time intervals (with P. Giesl).
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Accepted journal articles:
- Limitations of pullback attraction (with P. Kloeden and C. Pötzsche), to appear in: Journal of Difference Equations and Applications.
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Already published journal articles:
- A note on almost periodic variational equations (with P. Giesl), Communications on Pure and Applied Analysis 10, 3 (2011), 983-994. (to the article).
- Connecting orbits in perturbed systems (with F. Colonius and T. Hüls), Nonlinear Dynamics 59, 4 (2010), 569-578. (to the article)
- An alternative approach to Sacker-Sell spectral theory, Journal of Difference Equations and Applications 16, 2-3 (2010), 227-242. (to the article)
- Computation of integral manifolds for Carathéodory differential equations (with C. Pötzsche), IMA Journal of Numerical Analysis 30, 2 (2010), 401-430. (to the article)
- Finite-time attractivity and bifurcation for nonautonomous differential equations, Differential Equations & Dynamical Systems 18, 1-2 (2010), 57-78. (to the article)
- Computation of nonautonomous invariant and inertial manifolds (with C. Pötzsche), Numerische Mathematik 112, 3 (2009),
449-483. (to the article)
- Dichotomy spectra and Morse decompositions of linear nonautonomous differential equations, Journal of Differential Equations 246, 6 (2009), 2242-2263. (to the article)
- Bifurcations of asymptotically autonomous differential equations, Set-Valued Analysis 16, 7-8 (2008), 821-849. (to the article)
- Borg's criterion for almost periodic differential equations (with P. Giesl), Nonlinear Analysis. Theory, Methods & Applications 69, 11 (2008), 3722-3733. (to the article)
- Morse spectrum for nonautonomous differential equations (with F. Colonius and P. Kloeden), Stochastics and Dynamics 8, 3 (2008), 351-363. (to the article)
- All-time Morse decompositions of linear nonautonomous dynamical systems, Proceedings of the American Mathematical Society 136, 3 (2008), 1045-1055. (to the article)
- Morse decompositions of nonautonomous dynamical systems, Transactions of the American Mathematical Society 359, 10 (2007), 5091-5115. (to the article)
- Nonautonomous bifurcation patterns for one-dimensional differential equations, Journal of Differential Equations 234, 1 (2007), 267-288. (to the article)
- Taylor approximation of integral manifolds (with C. Pötzsche), Journal of Dynamics and Differential Equations 18, 2 (2006), 427-460. (to the article)
- Towards a bifurcation theory for nonautonomous difference equations, Journal of Difference Equations and Applications 12, 3-4 (2006), 297-312.
(to the article)
- Invariant manifolds as pullback attractors of nonautonomous differential equations (with B. Aulbach and S. Siegmund), Discrete and Continuous Dynamical Systems A 15, 2 (2006), 579-596. (to the article)
- Taylor approximation of invariant fiber bundles for nonautonomous difference equations (with C. Pötzsche), Nonlinear Analysis. Theory, Methods & Applications 60, 7 (2005), 1303-1330. (to the article)
- Approximation of attractors of nonautonomous dynamical systems (with B. Aulbach and S. Siegmund), Discrete and Continuous Dynamical Systems B 5, 2 (2005), 215-238. (to the article)
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Articles in conference proceedings:
- Hibernation prevents chaos: A logistic case study (with C. Pötzsche),
in: M. Bohner, Z. Doslá, G. Ladas, M. Ünal, A. Zafer (Eds.), Difference Equations and Applications,
Bahçecshir University Publications, Istanbul, 2009, 259-274. (PDF)
- Local approximation of invariant fiber bundles: an algorithmic approach (with C. Pötzsche), in: L. Allen, B. Aulbach, S. Elaydi, R. Sacker (Eds.), Difference Equations and Discrete Dynamical Systems, World Scientific, Singapore, 2005, 155-170. (PDF, PS)
- Invariant manifolds as pullback attractors of nonautonomous difference equations (with B. Aulbach and S. Siegmund), in: S. Elaydi, G. Ladas, B. Aulbach, O. Dosly (Eds.), Proceedings of the Eighth International Conference on Difference Equations and Applications, 23-37, CRC, Boca Raton, 2005. (PDF, PS)
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Miscellaneous:
- Approximation von Attraktoren und Mannigfaltigkeiten nichtautonomer Systeme, Diploma Thesis, Universität Augsburg, 2002, 119 pages. (PDF coloured, PDF monochrome, PS coloured, PS monochrome)
- Bevölkerungsprognose für Augsburg 2000-2015 (with H. Glöckner), Beiträge zur Stadtentwicklung, Stadtforschung und Statistik 18, Stadt Augsburg, 2000, 386 pages.
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