Bernold Fiedler

Bernold Fiedler
Bernold Fiedler
	Fiedler at Oberwolfach, 2008
Born	15 May 1956 (age 70)
Education	Heidelberg University
	Scientific career
Fields	Mathematics
Workplaces	Free University of Berlin
Thesis	Stabilitätswechsel und globale Hopf-Verzweigung (1982)
Doctoral advisor	Willi Jäger
Doctoral students	Björn Sandstede; Arnd Scheel

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).

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 (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

Fiedler, Bernold; Scheurle, Jürgen (1996). Discretization of homoclinic orbits, rapid forcing, and "invisible chaos". Providence, RI: American Mathematical Society. ISBN 978-1-4704-0149-8. OCLC 851088509.
Fiedler, Bernold (2001). Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems. Berlin, Heidelberg: Springer Berlin Heidelberg. ISBN 978-3-642-56589-2. OCLC 840292245.
Hasselblatt, Boris; Katok, A. B. (2002). Handbook of dynamical systems. Amsterdam: N.H. North Holland. ISBN 978-0-08-093226-2. OCLC 162578012.
Fiedler, Bernold (1988). Global bifurcation of periodic solutions with symmetry. Berlin: Springer-Verlag. ISBN 978-3-540-39150-0. OCLC 294802397.

References

↑ Bernold Fiedler at the Mathematics Genealogy Project
1 2 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.

[1] Bernold Fiedler at the Mathematics Genealogy Project

[FUB-2] 1 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.

Authority control databases
International	ISNI VIAF GND WorldCat
National	United States France BnF data Czech Republic Netherlands Israel
Academics	Mathematics Genealogy Project zbMATH MathSciNet
People	DDB
Other	IdRef Open Library Yale LUX

Bernold Fiedler
Fiedler at Oberwolfach, 2008
Born	(1956-05-15) 15 May 1956 (age 70)
Education	Heidelberg University
Scientific career
Fields	Mathematics
Workplaces	Free University of Berlin
Thesis	Stabilitätswechsel und globale Hopf-Verzweigung (1982)
Doctoral advisor	Willi Jäger
Doctoral students	Björn Sandstede Arnd Scheel