MIRROR SITE: http://www.geocities.ws/amselvam: A General Systems Theory of Everything from Chaos, Quantum Mechanics and Gravity Applicable to Dynamical Systems of all Space-Time Scales from Subatomic Dynamics of Quantum Systems to Macro-Scale Fluid Flow
http://amselvam.tripod.com/index.html: A General Systems Theory of Everything from Chaos, Quantum Mechanics and Gravity Applicable to Dynamical Systems of all Space-Time Scales from Subatomic Dynamics of Quantum Systems to Macro-Scale Fluid Flow
Book entitled CHAOTIC CLIMATE DYNAMICS by A.M.Selvam is available at
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
Theory for Fractal Spacetime, Chaos and Quantumlike Mechanics in Atmospheric
A. M. Selvam and Suvarna Fadnavis Published with modification in
and Fractals 10(8), 1321-1334, 1999 The unmodified paper (html) is available
at eprint archives
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
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
) 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.
mean and selfsimilar, fractal geometrical structures in nature
designs used in Indian households as decorations at doorsteps and also
on auspicious occasions
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
flows Global cloud cover pattern exhibits
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 superstring theory for atmospheric flow dynamics?
A detailed theory is presented in the following
Signatures of a Universal
Spectrum for Atmospheric Interannual Variability in Some Disparate Climatic
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 TABLE OF CONTENTS
(contains Sections 2. and 2.1)
Nonlinear Dynamics and Chaos
Fractals in Pure Mathematics
Fractal Time Signals and Power Laws (Contains Section 2.1.3 )
Self-Organized Criticality: Space-Time Fractals
Mean and Selfsimilar, Fractal Geometrical Structures in Nature
(chaotic) Fluctuations and Selfsimilar Structure Formation
Fibonacci Sequence and Selfsimilar Structures
Fivefold and Spiral Symmetry Associated with Fibonacci Sequence
Structure : The Quasiperiodic Penrose Tiling Pattern
: A Signature of Identical Iterative Growth Process
Dynamics and Chaos in Iterative Processes
4. Cell Dynamical
System Model for Atmospheric Flows
Data and Analysis
8. Conclusions 9. Acknowledgements
Fractal Spacetime, Quantum-like Chaos and Scale Relativity in Atmospheric
A. M. Selvam and Suvarna Fadnavis Published with modification in
Solitons and Fractals 10(9) , 1577-1582, 1999 The unmodified paper (html) is available
at eprint archives http://xxx.lanl.gov/abs/chao-dyn/9808015
dynamical system model for thundercloud electrification
A. M. Selvam, Proc. 1988
Int'l. Conf. Lightning and
Static Electricity, 26-28 September 1989, University of Bath, U. K. The paper (html) is available at eprint
Fractal Spacetime and Quantum-like Chaos in Neural Networks of the Human
A. M. Selvam Published with modifications in
Solitons and Fractals 10(1), 25-29, 1999 The unmodified paper (html) is available
at eprint archives http://xxx.lanl.gov/abs/chao-dyn/9809003
Solar Influence on Atmospheric Electric Field
Poonam Sikka, A. Mary Selvam
and A. S. Ramachandramurty, Preprint volume:
Conference on Atmospheric Electricity, June 3-8, 1984, Albany, N. Y.
American Meteorological Society, Boston, Mass., USA The paper (html) is available at eprint
of circadian rhythm and meteorological factors influencing acute myocardial
A. M. Selvam, D. Sen, S. M. S.
Research Report No. RR-073, Indian
Institute of Tropical Meteorology, Pune 411 008, India, April 1997 The paper (html) is available at eprint
Fluctuations in Daily Incidence of Acute Myocardial Infarction
A. M. Selvam, D. Sen and S. M. S. Mody Published in
Chaos,Solitons and Fractals,
2000, 11(8), 1175 - 1182 The paper (html) is available at eprint
of Fullerene Structure Formation: Order out of Chaos Phenomenon
A. Mary Selvam and Suvarna Fadnavis, Accepted for publication in
Romania The paper (html) is available at eprint
Warm Cloud Modification Experiment in Maharashtra State, India
A. S. R.Murty et al.
Journal Weather Modification,
(USA), 2000, 32,10-20 The paper (html) is available at eprint
Simulation of Warm Rain Process
A. Mary Selvam and A. S. Ramachandra
Murty Proc. of the
4th WMO Scientific Conf.
on Weather Modification 12-14 August 1985, Honolulu, Hawaii, 503-506. The paper (html) is available at eprint
observations indicating dynamic effect of salt seeding in warm cumulus
clouds A. S. Ramachandra.Murty, A. Mary Selvam and Bh. V. Ramana
Murty Published in Journal of Applied Meteorology, USA, 1975, Vol.14,
microphysical measurements in warm cumulus clouds before and after
seeding. A. S. Ramachandra Murty, A. M. Selvam, S. K. Paul, R.
Vijayakumar and Bh. V. Ramana Murty Journal of Applied Meteorology, USA,
1976, Vol.15, 1295-1301.
numerical technique for simulation of cloud seeding experiments. A.
Mary Selvam, A. S. Ramachandra Murty and Bh.V. Ramana Murty Proceedings of
the Indian Academy of Sciences, 1978, 87A, 179-191.
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.
measurement of electrical parameters inside monsoon clouds. A. Mary
Selvam, A. S. Ramachandra Murty, R. Vijayakumar and Bh.V. Ramana Murty Indian
Journal of Meteorology, Hydrology and Geophysics, 1976, Vol.27, 391-396.
thermodynamical and microphysical aspects of monsoon clouds. A. Mary
Selvam, A. S. Ramachandra Murty, R. Vijayakumar, S. K. Paul, G. K. Manohar, R.
S. Reddy, B. K. Mukherjee and Bh. V. Ramana Murty Proceedings of the Indian
Academy of Sciences, 1980, 87(A), 2 July, 1980, 215-230.
Chaos in Prime Number Distribution and in Turbulent Fluid Flows
A. M.Selvam Canadian electronic Journal
2001, 8(3), 29-64
http://redshift.vif.com/JournalFiles/V08NO3PDF/V08N3SEL.PDF The original paper (html) is available
at eprint archives http://xxx.lanl.gov/html/physics/0005067
of deterministic chaos to atmospheric physics
New Mechanism for the Maintenance of Fair Weather Electric Field and Cloud
A. Mary Selvam, A. S. Ramachandra
Murty, G. K. Manohar ,S. S. Kandalgaonkar and Bh. V. Ramana Murty Proc. VII
on Atmospheric Electricity, June3-8, 1984, Albany, N. Y. (American
Meteorological Society),154-159. The paper (html) is available at eprint
Hypothesis for the Vertical Distribution of Atmospheric Aerosols
A. Mary Selvam, A. S. Ramachandra Murty
and Bh.V. Ramanamurty Proc. of the XI Int. Conf. on
Aerosols, Condensation and Ice Nuclei, 2-7 Sept.1984, Budapest, Hungary,
77-81. The paper (html) is available at eprint
Fractal Space-Time Fluctuations in Turbulent Fluid Flows and the Kinetic
Theory of Gases
A. M. Selvam submitted for consideration of its publication
Internet Science Journal The paper (html) is available at eprint
Sensing of Geomagnetic Field and Applications to Climate Prediction
A. Mary Selvam
Proc. International Geoscience and
Remote Sensing Symposium (IGARSS'87), 18-21 May 1987, Michigan, USA. The paper (html) is available at eprint
of Urban Effects of Cloud Physical Parameters
A. Mary Selvam and A. S. R.Murty
Proc. International Conference on Energy
Transformations and Interactions with Small and Meso-scale Atmospheric
Processes, 2-6 March 1987, Switzerland The paper (html) is available at eprint
quantification for deterministic chaos in dynamical systems(HTML)
A. Mary Selvam
Applied Mathematical Modelling,
1993, 17, 642-649 The paper(html) is available at eprint
chaos, fractals, and quantumlike mechanics in atmospheric flows (HTML)
A. Mary Selvam
Canadian J. Phys., 1990, 68,
831 - 841 The paper(html) is available at eprint
of quantum-like chaos in spacing intervals of non-trivial Riemann zeta
zeros and in turbulent fluid flows
A. M. Selvam The paper (html) is available at eprint
http://xxx.lanl.gov/html/physics/0102028 Published with modification in the Canadian
APEIRON 8(4), 10-40. http://redshift.vif.com/JournalFiles/V08NO4PDF/V08N4SEL.PDF
Dynamics and Chaos: Applications for Prediction of Weather and Climate
J. S.Pethkar and A. M. Selvam Proc.
TROPMET 97, Bangalore, India,
10-14 Feb. 1997. The paper (html) is available at eprint
Spectrum for Natural Variability of Climate : Implications for Climate
J. S. Pethkar and A. M. Selvam Amer. Meteorol. Soc.
10th Conf. Applied
Climatology, Fall 1997, Western USA. The paper (html) is available at eprint
Signatures of Quantum-like Chaos in Dow Jones Index and Turbulent Fluid Flows by
Apeiron 10, 1-28 (2003). http://redshift.vif.com/JournalFiles/V10NO4PDF/V10N4SEL.PDF
Quantumlike Chaos in the Frequency Distributions of the Bases A, C, G, T in Drosophila DNA
APEIRON 9(4), 103-148, 2002 http://redshift.vif.com/JournalFiles/V09NO4PDF/V09N4sel.pdf http://arxiv.org/html/physics/0210068
Quantumlike Chaos in the Frequency Distributions of the Bases A, C, G, T in human chromosome 1 DNA. A.M.Selvam http://arxiv.org/html/physics/0211066
Proceedings of 2nd WSEAS Int. Conf. on NON-LINEAR ANALYSIS, NON-LINEAR SYSTEMS AND CHAOS(NOLASC 2003)
WSEAS MMACTEE-WAMUS-NOLASC 2003, Vouliagmeni, Athens, Greece, December 29-31, 2003, http://www.wseas.org
APEIRON, Volume 11 Number 3 (July 2004), 134-146. http://redshift.vif.com/JournalFiles/V11NO3PDF/V11N3SEL.PDF
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
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.
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
A General Systems Theory for the Observed Fractal Space-Time Fluctuations in Dynamical Systems A. M. Selvam
Universal spectrum for DNA base C+G concentration variability in Human chromosome Y A. M. Selvam
Proceedings of the WSEAS Multiconference: Mathematical Biology and Ecology (MABE '05), Udine, Italy, January 20-22, 2005 http://www.wseas.us/e-library/conferences/2005udine/papers/program.htm
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
dynamics of non-linear ionospheric rf wave processes A.
Mary Selvam published in AIP Conference Proceedings Vol 159(1) pp.
460-463. September 1987 http://content.aip.org/APCPCS/v159/i1/460_1.html
Self-organized criticality: A signature of quantumlike chaos in atmospheric flows A.
M.Selvam included in the program of EARSeL Expert Meeting: Self-Organised Criticality in the Environment, 25-26 November 2003, Russian Academy of Sciences
Leninsky prospekt 32 A, Moscow, Russia AIP Conference Proceedings Vol 159(1) pp.
460-463. September 1987 http://igras.geonet.ru:8081/igras_e/depart/vas/sig-vas.htm
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
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
The Physics of deterministic chaos : Implications for Global Climate Model Predictions. Proc. Int'l. Conf. Global Climate Change : Science, Policy and Mitigation Strategies, April 5-8, 1994, Phoenix, Arizona. pp.412-417. by A.
Universal spectrum for short period (days) variability in atmospheric total ozone, Mausam 46(3), 297-302. by A.
M. Selvam and M. Radhamani
The dynamics of deterministic chaos in single mode optical fiber laser transmission. Proc. National Aerospace and Electronics Conference (NAECON'87), 18-22 May, Ohio, USA. by A.
A General Systems Theory for Chaos, Quantum Mechanics and Gravity for Dynamical Systems of all Space-Time Scales. by A. M. Selvam
Also available at http://arxiv.org/pdf/physics/0503028
Published in ELECTROMAGNETIC PHENOMENA 2005, Vol.5, No.2(15) 160-176 http://www.emph.com.ua/15/selvam.htm
Spectral Analysis of Dow Jones Index and Comparison with Model Predicted Cycles During 1900-2005. by A. M. Selvam
Also available at http://arxiv.org/pdf/physics/0603065
International Journal of Physics
Volume 2, Number 1, January-June 2009, pp. 27-43
A Cell Dynamical System Model for Simulation of Continuum Dynamics of Turbulent Fluid Flows. by A. M. Selvam and S. Fadnavis
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).
A Universal spectrum for interannual variability of monsoon rainfall over India by A. M. Selvam Adv. Atmos. Sci. 10(2), 221-226 (1993)
Some unique characteristics of atmospheric interannual variability in rainfall time series over India and the United Kingdom by A. M. Selvam Adv. Atmos. Sci. 12(3), 377-385 (1995)
Universal spectrum for DNA base C+G frequency distribution in Human chromosomes 1 to 24 by A. M. Selvam http://arxiv.org/pdf/physics/0701079
World Journal of Modelling and Simulation Vol. 5 (2009) No. 2, pp. 151-160
Universal spectrum for DNA base CG frequency distribution in Takifugu rubripes (Puffer fish) genome by A. M. Selvam http://arxiv.org/pdf/0704.2114
Fractal Fluctuations and Statistical Normal Distribution by A. M. Selvam The original version is available at http://arxiv.org/pdf/0805.3426 Fractals 17(3), 333-249 (2009)
Signatures of Universal Characteristics of Fractal Fluctuations in Global Mean Monthly Temperature Anomalies by A. M. Selvam http://arxiv.org/pdf/0808.2388v1
Universal Characteristics of Fractal Fluctuations in Prime Number Distribution by A. M. Selvam http://arxiv.org/pdf/0811.1853v1
A General Systems Theory for Atmospheric Flows and Atmospheric Aerosol Size Distribution by A. M. Selvam http://arxiv.org/ftp/arxiv/papers/0908/0908.2321.pdf
Condensed version (8-page)published in Chaotic Modeling and Simulation Journal (CMSIM), pp 461-468, July 2012 (CHAOS 2011 Conference Proceedings)
Universal Inverse Power law distribution for Fractal Fluctuations in Dynamical Systems: Applications for Predictability of Inter - annual Variability of Indian and USA Region Rainfall by A. M. Selvam http://arxiv.org/pdf/1002.3230
Nonlinear Dynamics and Chaos: Applications in
Atmospheric Sciences by A. M. Selvam http://arxiv.org/pdf/1006.4554v1
J. Adv. Math. Appl. 1, 181-205 (2012)
Universal Spectrum for Atmospheric Suspended Particulates: Comparison with Observations by A. M. Selvam http://arxiv.org/pdf/1005.1336
Chaos & Complexity Letters, International Journal of Complex Systems Research, vol. 6 issue 3, 2012
Universal spectrum for atmospheric aerosol size distribution: comparison with pcasp-b observations of vocals 2008 by A. M. Selvam
Journal Nonlinear Dynamics and Systems Theory Volume 12 Number 4 (2012) 397-434.
Scale-free Universal Spectrum for Atmospheric Aerosol Size Distribution for Davos, Mauna Loa and Izana by A. M. Selvam
Accepted for publication in International Journal of Bifurcation and Chaos
A General Systems Theory for Rain Formation in Warm Clouds by A. M. Selvam
chaos theory applications in atmospheric sciences Conference Papers
Universal Inverse Power Law Distribution of Rainfall in the Indian
Region by A.M.Selvam
Universal inverse power-law distribution for temperature and rainfall in the UK region by A.M.Selvam
research publications by A. M. Selvam and colleagues
papers available in eprint archives at xxx.lanl.gov
Some links to fractal spacetime
to alternative theories, quantum mechanics, relativity etc.
A.M.Selvam dedicates her lifetime work to her Parents I. R. Muthusamy and Ida Muthusamy