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 $\bullet$ Fax +(386) (2) 2355 360
Robnik@uni-mb.si $\bullet$ www.camtp.uni-mb.si
PROF.DR. MARKO ROBNIK, DIRECTOR

Seminarsko predavanje
Centra za uporabno matematiko in teoreticno fiziko

Large Fluctuations, Escape, and the Control of Chaos

Professor Dr. Peter V.E. McClintock
Department of Physics, Lancaster University, England

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.

$[1]$ 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).
$[2]$ D.G. Luchinsky and P.V.E. McClintock, ``Irreversibility of classical fluctuations studied in electrical circuits'', Nature 389, 463-466 (1997).
$[3]$ 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 --