Bernold Fiedler
Bernold Fiedler is a German mathematician, specializing in nonlinear dynamics.
Fiedler received a Diploma from Heidelberg University in 1980 for his thesis Ein Räuber-Beute-System mit zwei time lags and his doctorate with his thesis Stabilitätswechsel und globale Hopf-Verzweigung, written under the direction of Willi Jäger. Fiedler is a professor at the Institute for Mathematics of the Free University of Berlin.
His research includes, among other topics, global bifurcation, global attractors, and patterning in reaction-diffusion equations.
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".
Selected publications
Articles
- with S. B. Angenent: The dynamics of rotating waves in scalar reaction diffusion equations, Trans. Amer. Math. Soc. 307, 545–568
- 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 : 167–192.
- with Shui-Nee Chow and Bo Deng: "Homoclinic bifurcation at resonant eigenvalues." Journal of Dynamics and Differential Equations 2, no. 2 : 177–244.
- with Carlos Rocha: Orbit equivalence of global attractors of semilinear parabolic differential equations, Trans. Amer. Math. Soc. 352, 257–284
- Spatio-Temporal Dynamics of Reaction-Diffusion Patterns, in M. Kirkilionis, S. Krömker, R. Rannacher, F. Tomi Trends in Nonlinear Analysis, Festschrift dedicated to Willi Jäger for his 60th birthday, Springer-Verlag, 2003, pp. 23–152.
- Romeo und Julia, spontane Musterbildung und Turings Instabilität, in Martin Aigner, Ehrhard Behrends Alles Mathematik. Von Pythagoras zum CD Player, Vieweg, 3rd edition 2009