Bernold Fiedler

Bernold Fiedler (born 15 May 1956) is a German mathematician, specializing in nonlinear dynamics.

Bernold Fiedler

Fiedler received a Diploma from Heidelberg University in 1980 for his thesis Ein Räuber-Beute-System mit zwei time lags ("A predator-prey system with two time lags") and his doctorate with his thesis Stabilitätswechsel und globale Hopf-Verzweigung (Stability transformation and global Hopf bifurcation), written under the direction of Willi Jäger.[1] Fiedler is a professor at the Institute for Mathematics of the Free University of Berlin.[2]

His research includes, among other topics, global bifurcation, global attractors, and patterning in reaction-diffusion equations (an area of research pioneered by Alan Turing).[2]

In 2008 Fiedler gave the Gauss Lecture with a talk titled "Aus Nichts wird nichts? Mathematik der Selbstorganisation". In 2002 he was, with Stefan Liebscher, an Invited Speaker at the ICM in Beijing, with a talk titled "Bifurcations without parameters: some ODE and PDE examples".[3]

Selected publications

Articles

with S. B. Angenent: The dynamics of rotating waves in scalar reaction diffusion equations, Trans. Amer. Math. Soc. 307 (1988), 545–568 doi:10.1090/S0002-9947-1988-0940217-X
with Peter Poláčik: "Complicated dynamics of scalar reaction diffusion equations with a nonlocal term." Proceedings of the Royal Society of Edinburgh Section A: Mathematics 115, no. 1–2 (1990): 167–192. doi:10.1017/S0308210500024641
with Shui-Nee Chow and Bo Deng: "Homoclinic bifurcation at resonant eigenvalues." Journal of Dynamics and Differential Equations 2, no. 2 (1990): 177–244. doi:10.1007/BF01057418
with Carlos Rocha: Orbit equivalence of global attractors of semilinear parabolic differential equations, Trans. Amer. Math. Soc. 352 (2000), 257–284 doi:10.1090/S0002-9947-99-02209-6
Spatio-Temporal Dynamics of Reaction-Diffusion Patterns, in M. Kirkilionis, S. Krömker, R. Rannacher, F. Tomi (eds.) Trends in Nonlinear Analysis, Festschrift dedicated to Willi Jäger for his 60th birthday, Springer-Verlag, 2003, pp. 23–152. doi:10.1007/978-3-662-05281-5_2
Romeo und Julia, spontane Musterbildung und Turings Instabilität, in Martin Aigner, Ehrhard Behrends (eds.) Alles Mathematik. Von Pythagoras zum CD Player, Vieweg, 3rd edition 2009 doi:10.1007/978-3-658-09990-9_7

Books

with J. Scheurle: Discretization of homoclinic orbits and "invisible" chaos; Memoirs American Mathematical Society, vol. 570, 1996
as editor: Ergodic theory, analysis and efficient simulation of dynamical systems, Springer Verlag 2001
as editor with Boris Hasselblatt and Anatole Katok: Handbook of dynamical systems, vol. 2, Elsevier 2002
Global bifurcations of periodic solutions with symmetry, Springer Verlag 2006

References

Bernold Fiedler at the Mathematics Genealogy Project
Prof. Dr. Bernold Fiedler, Free University Berlin
Fiedler, Bernold; Liebscher, Stefan (2003). "Bifurcations without parameters; some ODE and PDE examples (arXiv preprint)". Proceedings of the ICM, Beijing 2000. vol. 3. pp. 305–316. arXiv:math/0304453. Bibcode:2003math......4453F.

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[1] Bernold Fiedler at the Mathematics Genealogy Project

[FUB-2] Prof. Dr. Bernold Fiedler, Free University Berlin

[3] Fiedler, Bernold; Liebscher, Stefan (2003). "Bifurcations without parameters; some ODE and PDE examples (arXiv preprint)". Proceedings of the ICM, Beijing 2000. vol. 3. pp. 305–316. arXiv:math/0304453. Bibcode:2003math......4453F.