DEPARTMENT OF CHEMISTRY
INDIAN INSTITUTE OF TECHNOLOGY MADRAS

CY7520 : NON LINEAR IN CHEMISTRY AND BIOLOGY

Theoretical Chemistry
  • Introduction to dynamical systems. Autonomous equations, critical points, periodic solutions and theory of stability.
  • Mappings, theory of bifurcation, chaos and self-organization, Quantification of chaos.
  • Thermodynamical and kinetic aspects of structure formation in systems far from equilibrium. Kinetic interpretation of living systems, spatial and temporal self- organization in biochemical and biological systems.
  • Order and chaos in chemical and physiological systems.
  • Self-organizing systems of macromolecules and interpretation of biological evolution.
  • Chaos and experimental time series analysis.
  • Control of chaos.

 

References :

  1. R.C. Hilburn, Chaos and nonlinear dynamics, Oxford University Press. NY, 1994.
  2. G.Nicolis and I.Prigogine, Self-organization in non-equilibrium systems, John Wiley & Sons, New York,1977.
  3. S.K.Scott, Chemical Chaos, Clarendon Press, Oxford, 1991.
  4. L. Glass and M.C. Mackey, From clocks to Chaos, The rhythm of life Princeton University Pres, NJ, 1988.
  5. S.H. Strogatz, Nonlinear dynamics and chaos, Addison-Wesley Publishing Co., Reading, 1994.
  6. D.Kaplan and L.Glass, Understanding nonlinear dynamics, Spinger-verlag, NY 1995.