Department of Mathematics

Indian Institute of Science

Bangalore 560 012

 

GOLDEN JUBILEE YEAR 2005 - 2006

SEMINAR.....

Speaker

:

Prof. Jurgen Kurths

 

Affiliation

:


 
Interdisciplinary Centre for Dynamics of

 Complex Systems and Institute of Physics
 Potsdam University, Am Neuen Palais 10
 D-14415 Potsdam, Germany
 

 

Subject Area

:

Mathematics

 

Venue

:

Lecture Hall I, Dept of Mathematics

 

Time

:

3.30 pm

 

Date  

:

January 03,06

 

Event Title1

:

 "Synchronization: A Universal Concept in Nonlinear
                    Sciences"

Abstract  

Synchronization phenomena are abundant in nature, science, engineering and
social life. Synchronization was first recognized by Christiaan Huygens in 1665 for coupled pendulum clocks; this was the beginning of nonlinear sciences. First, several examples of synchronization in periodic systems are presented, such as in clocks, organ pipes, fireflies and even in the mechanics of bridges.
Second synchronization phenomena in coupled complex systems are discussed.Then it is explained how to identify such phenomena in experimental data
and especially in physiological measurements, such as brain or heart rate data. This mainly refers to rather simple geometry of chaotic behaviour with small diffusion of the phase.
Third I present an approach to detect and quantify phase synchronization in much more complex geometries of chaotic oscillators. This is based on the general concept of recurrence which goes back to the famous work of H. Poincare`. It is shown that this method is applicable even to noisy data. Applications to cognitive experiments are given.

 


Contact: +91 (80) 2293 2711, +91 (80) 2293 2625
E-mail: chairman.math[at]iisc[dot]ac[dot]in