Nonlinear Dynamics at the Free University Berlin

Sommersemester 08

Oberseminar Nonlinear Dynamics



Apr 15, 2008 SFB 647
Apr 22, 2007 Alessandro Torcini
(Institute for Complex Systems, Florence)
Chaotic synchronization in spatially extended systems

Synchronization transitions in chaotic spatially extended systems with short range interactions will be briefly reviewed [1]. In particular, we will focus on the existing analogies between out-of-equilibrium phase transitions and chaotic synchronizations. Moreover, recent developments, concerning synchronization in systems with power-law coupling, will be presented [2]. In this framework, the transitions are found to be always continuous, while the critical indexes vary with continuity with the power law exponent characterizing the interaction. For discontinuous local dynamics, numerical evidences indicate that the observed transitions belong to the "anomalous directed percolation" family of universality classes found for Levy-flight spreading of epidemic processes [3]. Instead for continuous local dynamics it is not possible to associate the transitions to previously studied crtitical phenomena [4].

  1. L. Baroni et al., Physical Review E 63 (2001) 036226;
    F. Bagnoli e F.Cecconi, Phys. Lett. A 260, 9 (2001);
    V. Ahlers and A.S. Pikovsky, Physical Review Letters 88 (2002);
    F. Bagnoli e R. Rechtman, Phys. Rev. E 73, 026202 (2006).
  2. C.J. Tessone et al., Phys. Rev. Lett. 97 (2006) 224101.
  3. D. Mollison, J. R. Stat. Soc. B 39, 283 (1977);
    P. Grassberger, in Fractals in Physics, edited by L. Pietronero and E. Tosatti (Elsevier, 1986);
    H. Hinrichsen, Adv. Phys., 49, 815 (2000).
  4. M. Cencini et al. Chaos (2008) in press.
Apr 29, 2008 SFB 647
May 06, 2008 Prof. Dr. Arnd Scheel
(University of Minnesota)
How robust are Liesegang patterns
May 20, 2008 SFB 647
May 27, 2008 FHI / SFB 555: Symposium Engineering of Chemical Complexity
Jun 03, 2008 Dr. Pavel Gurevich
On periodic solutions of thermocontrol problems with hysteresis
Jun 10, 2008 SFB 647
Jun 17, 2008 Oleksandr Burylko
(National Academy of Sciences of Ukraine)
Bifurcations to heteroclinic cycles in phase coupled oscillators
Jun 24, 2008 PD Dr. Jürgen Knobloch
Snaking in reversible systems
Jul 01, 2008 SFB 647
Jul 08, 2008 Dr. Oleh Omelchenko
(Humboldt-Universität Berlin)
Chimera States: The Natural Link Between Coherence and Incoherence
Aug 26, 2008 Dr. Dmitrii Turaev
(Imperial College, London)
The Lorenz attractor does exist
Weierstraß Institute, Ehrhard-Schmid-Hörsaal, Mohrenstr.39, 10117 Berlin, 3:15 p.m.

Time and Place

Talks usually take place on Tuesday at 3:15 p.m.
at the Free University Berlin
Room 140, Arnimallee 7, 14195 Berlin.

Tea and coffee will be served at 2:45 p.m., Arnimallee 3, Room 006.
Guests are always welcome !


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