**
Statement by MIPT Alumnus (12/2000)
The Physics Student**

It is noticed that science develops in
splashes, changing our outlook. 19th century was the time of rapid
development of thermodynamics and electrodynamics; in the beginning of
the 20th century quantum mechanics and relativity were born. Now we seem
to be at the dawn of efflorescence in nonlinear science and the study of
complex systems. These systems are now identified in nearly all areas of
science: information theory, biology, condensed matter physics,
electronics, astrophysics, and so on.

I became interested in science when I was a high school student.
Physics, Biology and Chemistry were fields of my special interest. I
realized that one who wants to become a scientist must have not only an
excellent grounding in theory but also wide research experience. At that
time I became interested in nonlinear phenomena in biophysics. I worked
with a group of high school students studying propagation of nerve
impulse under the effect of high concentrations of detrimental
compounds. As a result, we prepared a report to the all-Ukrainian
high-school students’ Physics Conference. Simplicity and clarity of
designed physical model along with importance and originality of the
obtained results impressed me greatly.

My interest in nonlinear systems appeared when I was a first year
student at Kiev University. Under the supervision of Dr. A I set about
research on the characteristics of chaotic oscillations in
Kiyashko-Pikovsky-Rabinovich generator. Our goal was to simulate
oscillations produced by the system under different conditions and to
modify the theory explaining statistical properties of oscillations
produced in the studied regimes. Soon I developed computer simulation of
the system. After a short period of investigations we discovered several
new types of behavior of the generator. Lamerey's diagrams and
phase-plane portraits were constructed for each new regime. From these
results we reconstructed the overall bifurcation sequence leading to
stochastic regimes and regions of parameter space, where the different
types of oscillations exist. Results of the work were published in the
Bulletin of Kiev University as well as presented at MIPT Scientific
Conference and all-Ukrainian Student Scientific Conference.

After transferring to MIPT I started studies in nonlinear quantum
optics. I took advanced theoretical and laboratory courses on the
subject. In 1999 I began to work as a research assistant in Dr. B’s
laboratory in Lebedev Physics Institute, Moscow. Along with two other
MIPT students, I designed an arrangement for generation and detection of
light with hidden polarization. Our ultimate goal was further
improvement of squeezed light characteristics produced by parametric
generator. As a part of the work I studied chaotic behavior of this
system. This research gave me the extensive experience, since I had to
familiarize myself with different aspects of theoretical, experimental
and computational techniques. Later I found another application of
optical systems with chaotic behavior while working on dynamics based
computation project with Prof. C.

Last year I became interested in interconnection between chaos and
information theory and joined Prof. C’s research group, which works in
the field of information and communication technologies based on
dynamical chaos. At the same time I took several courses on nonlinear
dynamics, chaos, complexity and theory of self-organization. My first
research project was “Dynamics Based Computation”. Plenty of information
that I learned while working on it improved my understanding of such
phenomena as self-organized criticality and information processing by
chaotic map. Currently I am engaged in research on “Chaotic Map based
Associative and Random Access Memory”. We have already designed Matlab
program that records multiple text strings on one chaotic map and then
identifies and restores recorded string on the basis of its substring.
Now I am working on improvement of the effectiveness of this model.

I started my teaching practice as soon as I entered Kiev University in
1997. I conducted additional physics studies for gifted high school
students in Ukrainian Lyceum of Physics and Mathematics in Kiev. I
enjoyed this kind of work greatly so after transfer to MIPT I joined
Prof. D's group that provides trainings for Russian International
Physics Olympiad Team. This experience has convinced me that I would
enjoy simultaneous teaching and research in the case of having TA
position.

In the summary, my interest lies in the field of nonlinear dynamics and
its applications, namely nonequilibrium physics, complex systems,
self-organization, dynamics of neural networks. Research in this areas
is very active at California Institute of Technology, namely at Physics,
CNS, CDS and other departments. Therefore I want to continue my
education at California Institute of Technology. I am sure that your PhD
program will finally lead me to my dream – discovering of a secret of
nature.