Book entitled CHAOTIC CLIMATE DYNAMICS by A.M.Selvam is available at Amazon.com
Fractals: The beautiful complex patterns
generated by simple iterative computations: Some examples
A hierarchy of selfsimilar structures: The large scale is a magnified version
of the small scale.
A General Systems Theory of Everything
for Chaos,Quantum Mechanics and Gravity, Applicable to Dynamical Systems
of all Spcae-Time Scales from Subatomic Dynamics of Quantum Systems to
Macroscale Turbulent Fluid Flows
Numerical computations such as addition,
multiplication, etc., have inherent round-off errors. Iterative computations
magnify this round-off error because of feedback with amplification. The
round-off error growth structures generate the beautiful fractal patterns.
The complex structures found in nature
are all fractals, i.e., posses selfsimilar geometry. Simple iterative
growth processes may underlie the complex patterns found in nature
The most fundamental selfsimilar structure
is the forking (bifurcating) structure (Jean, 1994 References
) of tree branches, tree roots, river tributaries, branched lightning,
etc. The hierarchy of complex branching structures occupy only a part (fraction)
of 3-dimensional space or a fraction of 2-dimensional space in a 2-dimensional
projection, and therefore they belong to the recently identified (Mandelbrot,
1977) category of fractal objects. The study of fractals
now belongs to the new field nonlinear dynamics and chaos, a multidisciplinary
area of intensive research in all fields of science in recent years.
Numerical integration schemes incorporate
iterative computations. Propagation of round-off error into the main stream
computation results in deterministic chaos in computer realizations
of nonlinear mathematical models used for simulation of real world dynamical
Selfsimilar spatial structures imply long-range
spatial correlations or non-local connections.
Long-range spatiotemporal correlations (non-local connections) in atmospheric
Global cloud cover pattern exhibits fractal
geometry.The existence of long-range spatial correlations such as the El-Nino
impact on global climate is now accepted.The global atmosphere acts as
a unified whole, where, local perturbations produce a global response.
A detailed theory is presented in the following
Signatures of a Universal
Spectrum for Atmospheric Interannual Variability in Some Disparate Climatic
Regimes A. M. Selvam and S. Fadnavis Meteorology and Atmospheric Physics
1998,66, 87-112 , Springer-Verlag Wien The complete paper (html) is available
in eprint archives http://xxx.lanl.gov/abs/chao-dyn/9805028
REVIEW OF WARM CLOUD
MODIFICATION by A.S.R.MURTY World Meteorological
Organization, WMP Report No. 24, WMO/TD-No. 687 Eighteenth Session of the
Executive Council Panel of Experts/CAS Working Group on Physics and Chemistry of
Clouds and Weather Modification Research Geneva, Switzerland, 30 January – 3
February 1995 Appendix D, pp.1-5.
CLOUD MODIFICATION: A VIEWPOINT by A.S.R.MURTY World
Meteorological Organization, WMP Report No. 27, WMO/TD-No. 820 Eighteenth
Session of the Executive Council Panel of Experts/CAS Working Group on Physics
and Chemistry of Clouds and Weather Modification Research Geneva, Switzerland, 5
– 9 May 1997 Appendix D, pp.31-33.
Deterministic Chaos: A signature of Quantumlike Mechanics in Self-Organized Adaptive Networks A.M.Selvam Proc. IEEE, NAECON 91, Dayton, U. S. A. May 20-24, 1991 http://arxiv.org/html/physics/0305104
Deterministic Chaos Model for Self-Organized Adaptive Networks in Atmospheric Flows A.Mary Selvam Proceedings of the IEEE National Aerospace and Electronics Conference - NAECON 1989, Dayton, OH, May 22-26, 1989, 1145-1152. http://arxiv.org/html/physics/0308094
The Dynamics of Deterministic Chaos in Numerical Weather Prediction Models by A.Mary Selvam Proc. American Meteorological Society 8th Conf. Numerical Weather Prediction, February 1988, Baltimore, MD., USA.
Identification of self-organized criticality in atmospheric low frequency variability R. R. Joshi and A. M. Selvam
published in Fractals, Vol. 7, No. 4 (1999) 421-425
Fractal space-time fluctuations: A signature of quantumlike chaos in dynamical systems A. M. Selvam
Also available at http://arxiv.org/pdf/physics/0408089
International Journal of Physics, Vol. 3, No. 1, January-June 2010 pp. 57-65
Signatures of a universal spectrum for nonlinear variability in daily columnar total ozone content. Adv. Atmos. Sci. 11(3), 335-342, 1994 A.
M.Selvam and M. Radhamani
The pages 335 to 342 are available at aasp8.pdf
Identification of self-organized criticality in atmospheric total ozone variability. Proc. Int'l. Symp. Middle Atmospheric Sciences, (MAS Symposium), Kyoto, Japan, 23-27 March. 1992 by A.
M.Selvam and M. Radhamani
The pages 76 to 77 are available at mas2p.pdf
Trends in Continuum Physics, TRECOP ’98; Proceedings of the International Symposium on Trends in Continuum Physics, Poznan, Poland, August 17-20, 1998. Edited by Bogdan T. Maruszewski, Wolfgang Muschik, and Andrzej Radowicz. Singapore, World Scientific, 1999, 334(12).