Bernold Fiedler Explained
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.[1]
His research includes, among other topics, global bifurcation, global attractors, and patterning in reaction-diffusion equations (an area of research pioneered by Alan Turing).[1]
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".[2]
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
Books
- Book: Fiedler, Bernold . Scheurle . Jürgen . Discretization of homoclinic orbits, rapid forcing, and "invisible chaos" . American Mathematical Society . Providence, RI . 1996 . 978-1-4704-0149-8 . 851088509.
- Book: Fiedler, Bernold . Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems . Springer Berlin Heidelberg . Berlin, Heidelberg . 2001 . 978-3-642-56589-2 . 840292245.
- Book: Hasselblatt, Boris . Katok . A. B. . Handbook of dynamical systems . N.H. North Holland . Amsterdam . 2002 . 978-0-08-093226-2 . 162578012.
- Book: Fiedler, Bernold . Global bifurcation of periodic solutions with symmetry . Springer-Verlag . Berlin . 1988 . 978-3-540-39150-0 . 294802397.
Notes and References
- http://dynamics.mi.fu-berlin.de/persons/fiedler.php Prof. Dr. Bernold Fiedler, Free University Berlin
- Book: Fiedler, Bernold. Liebscher, Stefan. Bifurcations without parameters; some ODE and PDE examples (arXiv preprint). Proceedings of the ICM, Beijing 2000. 2003. 3. 305–316. math/0304453. 2003math......4453F.