[Turkmath:7147] imbm semineri perşembe - ilan ekte

[ferit.ozturk at boun.edu.tr]

I M B M istanbul matematiksel bilimler merkezi  
istanbul center for mathematical sciences

Holographic Interpolation and Schroeder's Equation
Cosmas Zachos
Argonne National Laboratory, USA

Time evolution is formulated and discussed in the framework of Schroeder's
func-
tional conjugacy equation. The proposed method yields smooth, continuous dy-
namics {without the prior need for local propagation equations. The resulting
holo-
graphic functional methods are then applied as probes of discrete time-stepped
maps
that lead to chaotic behavior. The methods provide continuous-time
interpolation
between the time steps, thereby revealing the maps to be splintered Hamiltonian
systems underlain by novel potentials. A sequence of successively deepening
switch-
back potentials for a particle driven by Hamiltonian dynamics explains, in
physical
terms, the frequency doubling and trajectory folding that occur on the
particular
route to chaos revealed by the logistic map, x -> 4x(1-x).

Date: Thursday, July 22, 2010
Time: 15:00
Place: IMBM Seminar Room
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