Nonlinear Dynamics at the Free University Berlin

PD Dr. Stefan Liebscher


Research interests

Address: Freie Universität Berlin
Institut für Mathematik
Arnimallee 3
D - 14195 Berlin
Office: 136, Arnimallee 7, rear building
Phone: + 49 - 30 - 838 75436
E-mail: stefan.liebscher at fu-berlin.de
(replace the "at" by a @)

Projects


Teaching


Preprints and Publications

Stefan Liebscher
Stabilität von Entkopplungsphänomenen in Systemen gekoppelter symmetrischer Oszillatoren.
Diplomarbeit, Freie Universität Berlin, 1997.
(gziped postscript, 236 kB)     (pdf, 885 kB)
Bernold Fiedler, Stefan Liebscher, James C. Alexander
Generic Hopf bifurcation from lines of equilibria without parameters: I. Theory.
Journal of Differential Equations 167 (2000), pp. 16-35.
(gziped postscript, 238 kB)     (postscript, 2.0 MB)     (pdf, 2.6 MB)
Bernold Fiedler, Stefan Liebscher
Generic Hopf bifurcation from lines of equilibria without parameters: II. Systems of viscous hyperbolic balance laws.
SIAM Journal on Mathematical Analysis 31 (2000), pp. 1396-1404.
(gziped postscript, 209 kB)     (postscript, 1.9 MB)     (pdf, 2.5 MB)
Bernold Fiedler, Stefan Liebscher, James C. Alexander
Generic Hopf bifurcation from lines of equilibria without parameters: III. Binary Oscillations.
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 10 (2000), pp. 1613-1622.
(gziped postscript, 210 kB)     (postscript, 1.9 MB)     (pdf, 2.5 MB)
Stefan Liebscher
Stable, Oscillatory Viscous Profiles of Weak, non-Lax Shocks in Systems of Stiff Balance Laws.
Dissertation, Freie Universität Berlin, Fachbereich Mathematik und Informatik, 2000.
(gziped postscript, 670 kB)     (pdf, 5.1 MB)
Bernold Fiedler, Stefan Liebscher
Takens-Bogdanov bifurcations without parameters, and oscillatory shock profiles.
In H. Broer, B. Krauskopf, and G. Vegter, editors, Global Analysis of Dynamical Systems, Festschrift dedicated to Floris Takens for his 60th birthday. IOP, Bristol, 2001, pp. 211-259.
(gziped postscript, 753 kB)     (pdf, 4.5 MB)
Stefan Liebscher
Stable, oscillatory viscous profiles of weak shocks in systems of stiff balance laws.
In H. Freistühler and G. Warnecke, editors, Hyperbolic Problems: Theory, Numerics, Applications, Eighth International Conference in Magdeburg, February/March 2000. Birkhäuser, Berlin, 2001, pp. 663-672.
(gziped postscript, 2.3 MB)     (pdf, 3.0 MB)
Bernold Fiedler, Stefan Liebscher
Bifurcations without parameters: Some ODE and PDE examples.
In T.-T. Li et al., editors, International Congress of Mathematicians, ICM 2002, Vol. III: Invited Lectures. Higher Education Press, Beijing, 2002, pp. 305-316.
(arxiv.org/abs/math/0304453)
Jörg Härterich, Stefan Liebscher
Travelling Waves in Systems of Hyperbolic Balance Laws.
In G. Warnecke, editor, Analysis and Numerical Methods for Conservation Laws. Springer-Verlag, 2005, pp. 281-300.
(gziped postscript, 2.4 MB)     (pdf, 3.1 MB)
Andrei Afendikov, Stefan Liebscher, Bernold Fiedler
Standing waves near the Kolmogorov flow.
Doklady Mathematics 75 (2007), pp. 283-286,
translation from Doklady Akademii Naukk 413 (2007), 587-590.
Andrei Afendikov, Bernold Fiedler, Stefan Liebscher
Plane Kolmogorov flows and Takens-Bogdanov bifurcation without parameters: The doubly reversible case.
Asymptotic Analysis 60 (2008), pp. 135-211.
(pdf, 3.3 MB) (journal)
Andrei Afendikov, Bernold Fiedler, Stefan Liebscher
Plane Kolmogorov flows and Takens-Bogdanov bifurcation without parameters. The singly reversible case.
Asymptotic Analysis 72 (2011), pp. 31-76.
(journal)
Stefan Liebscher
Dynamics near manifolds of equilibria of codimension one and bifurcation without parameters.
Electronic Journal of Differential Equations 2011 (2011), No. 63, pp. 1-12.
(arxiv.org/abs/1004.3410)
Stefan Liebscher, Jörg Härterich, Kevin Webster, Marc Georgi
Ancient dynamics in Bianchi models: Approach to Periodic Cycles.
Communications in Mathematial Physics 305 (2011), pp. 59-83.
(arxiv.org/abs/1004.1989)
Stefan Liebscher, Alan D. Rendall, Sophonie Blaise Tchapnda
Oscillatory singularities in Bianchi models with magnetic fields.
Annales Henry Poincaré 14 (2013), No. 5, pp. 1043--1075.
(arxiv.org/abs/1207.2655)
Stefan Liebscher
Bifurcation without parameters.
Habilitationsschrift, Freie Universitiät Berlin, 2012.
(pdf, 15 MB)
Stefan Liebscher
Bifurcation without parameters.
Lecture Notes in Mathematics 2117, Springer-Verlag, 2015, 142 pages.
(publisher)
Anna Karnauhova, Stefan Liebscher
Connected components of meanders: I. Bi-rainbow meanders.
submitted 2015.
(arxiv.org/abs/1504.03099)
switch Last change: Jun. 22, 2015
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