Bernold Fiedler

Bernold Fiedler (born 15 May 1956) 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 ("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. 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 (an area of research pioneered by Alan Turing).

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 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. with Shui-Nee Chow and Bo Deng: "Homoclinic bifurcation at resonant eigenvalues." Journal of Dynamics and Differential Equations 2, no. 2 (1990): 177–244. with Carlos Rocha: Orbit equivalence of global attractors of semilinear parabolic differential equations, Trans. Amer. Math. Soc. 352 (2000), 257–284 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. 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

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