Selected topics of PHYSICS OF HAMILTONIAN CHAOS and its applications.
STOCHASTIC WEBS

An informal mini-course of four lectures, mainly devoted to such highly
counter-intuitive objects as areas of a phase space, arising for weakly
perturbed harmonic and weakly nonlinear oscillations, in which a
diffusion of a purely dynamic origin occurs. Despite a rather recent
prediction - in the end of the 80th – the low-dimensional stochastic
webs (LDSWs) have been already found in a variety of real systems.
Apart from a well-known material, the course includes recent original
results and a discussion of open problems.

Lectures will be from 16:00 to 18:00 on Thursday:
LECTURE 1 gives an overview of the subject and considers details of the
basic type of the LDSWs, called a cobweb.            29/11/2012 Room B1
LECTURE 2 describes other types of the LDSWs.         6/12/2012 Room G1
LECTURE 3 considers a width of the cobweb filaments and tells about a
recent discovery of the finiteness of the cobweb sizes as well as about
ways of their strong enlargement by little means.    13/12/2012 Room G1
LECTURE 4 describes an exciting example of relevance of the LDSWs to
real systems, namely a role of the cobweb in the quantum electron
transport in nanoscale semiconductor superlattices. 20/12/2012 Room G1