IIIT Hyderabad Publications |
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Computational techniques in the study of dynamics of natural systemsAuthors: Suvendu Giri,Harjinder Singh Conference: Invited talk: Proceedings of the UGC, DST and CFSL sponsored seminar on computer application for the 21st century: SYNERGIES and VISTAS, Pg. 22-40 Kolkata, Dec 2008. Date: 2009-09-01 Report no: IIIT/TR/2009/120 AbstractDynamics of natural systems present fascinating arena of applications of sophisticated computational and numerical techniques. The later half of twentieth century saw an explosion in the area of exponential sensitivity to changes in initial conditions of systems evolving in the phase space, the phenomena otherwise known as deterministic chaos. We will consider examples from our work as well as classic instances of these from literature. We will summarize the theory of attractors and basins of attraction in the phase space and move on to practical applications like time series analysis and weather prediction and other areas of contemporary research. We will discuss our work in the area of stochastic resonance in noisy systems with or without periodic drive. Finally, we will discuss our current interest in the highly nonlinear problem of optimal control of a quantum mechanical system. The control of molecular motion using laser light is currently an important goal of advanced chemical research. We will discuss how the most advanced state of the art molecular electronic structure methods, coupled with time dependent quantum dynamics, can lead to the design of laser pulses to control molecular motion in biologically important molecules. Centre for Computational Natural Sciences and Bioinformatics |
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