CENTER FOR APPLIED MATHEMATICS AND THEORETICAL PHYSICS

UNIVERZA V MARIBORU UNIVERSITY OF MARIBOR

KREKOVA 2 SI-2000 MARIBOR SLOVENIA

Phone +(386) (2) 2355 350 and 2355 351 Fax +(386) (2) 2355 360

Robnik@uni-mb.si www.camtp.uni-mb.si

PROF.DR. MARKO ROBNIK, DIRECTOR

**Abstract:**
Most of the interesting and important events in fluctuating
systems (e.g. escape from an attractor) arise through large
rare fluctuations. These can now be studied experimentally,
and related to the large body of Hamiltonian fluctuation
theory, through use of the prehistory probability distribution
[1]. The existence of an optimal fluctuational force has been
confirmed [2]. Recent studies have illuminated the way in
which escape occurs from a chaotic attractor, and have solved
the optimal control problem via direct measurement of the optimal
force [3], which can be identified with the deterministic optimal
control function in the absence of fluctuations.

M.I. Dykman, P.V.E. McClintock, V.N. Smelyanski, N.D. Stein and
N.G. Stocks, `` Optimal paths and the prehistory problem for large
fluctuations in noise-driven systems", *Phys. Rev. Lett.* **68**, 2718-2721 (1992).

D.G. Luchinsky and P.V.E. McClintock,
``Irreversibility of classical fluctuations studied in electrical
circuits'', *Nature* **389**, 463-466 (1997).

I.A. Khovanov, D.G. Luchinsky, R. Mannella and
P.V.E. McClintock, ``Fluctuations and the energy-optimal control of
chaos, *Phys. Rev. Lett.* **85**, 2100-2103 (2000).

**Seminarsko predavanje bo v petek 9. februarja 2001 ob 15:15 uri
v seminarski sobi CAMTP, Krekova 2, pritlicje.
Vljudno vabljeni vsi zainteresirani, tudi
študenti.**

Prof.Dr. Marko Robnik

-- Direktor**CAMTP** --

-- Direktor