The mathematical theory of systems with hysteresis is an exiting
new chapter of nonlinear analysis. While based on physical ideas,
it also extends them to abstract science, enabling the analysis to
be of quite general character. It includes interesting new
mathematics and has a wide range of applications in science,
engineering and economics.
A key innovation is the work, from the early 1970s, of a group of
Russian mathematicians. This group, which was led by Mark
Krasnosel'skii, one of the founders of nonlinear analysis,
initiated the investigations of hysteresis phenomena using the
theory of nonlinear operators. It was my good fortune to become a
member of the Krasnosel'skii group at the very beginning.
This home page provides, for beginners, a guided interactive tour to
the `courts of Hysteresis'. The topics are chosen to be simple
and interesting (in my personal taste).
This homepage was created mainly by two young mathematicians: a
PostDoc researcher, Dr. Oleg Rasskazov, and a Masters student, Mark Donegan.
This project was supported by Boole Centre for Research in
Informatics, by Enterprise Ireland, Grant SC/2000/138 and Grant
SC/2003/376 and by IRCSET Embark Ireland Postdoctoral fellowship PD/2004/26.
Prof. Alexei Pokrovskii,
Head of Dept. of Applied Mathematics,
University College, Cork,
P.S. This page is best viewed with Sun's Java Runtime Environment,
JRE, that can be downloaded from the official website here.