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
MIRROR SITE: 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 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


A Superstring Theory for Fractal Spacetime, Chaos and Quantumlike Mechanics in Atmospheric Flows
 A. M. Selvam and Suvarna Fadnavis
Published with modification in Chaos,Solitons and Fractals 10(8), 1321-1334, 1999
The unmodified paper (html) is available at eprint archives http://xxx.lanl.gov/abs/chao-dyn/9806002



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.

Golden mean and selfsimilar, fractal geometrical structures in nature


Some selfsimilar 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 systems.



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 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 moment for reflection


A superstring theory for atmospheric flow dynamics?

For a brief summary GO TO Universal quantification for self-organized criticality in atmospheric flows

A detailed theory is presented in the following paper

 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

TABLE OF CONTENTS

Summary

1.Introduction (contains Sections 2. and 2.1)

2. Nonlinear Dynamics and Chaos

2.1 Fractal Geometry

2.1.1 Fractals in Pure Mathematics

2.1.2 Fractal Time Signals and Power Laws (Contains Section 2.1.3 )

2.1.3 Self-Organized Criticality: Space-Time Fractals

2.2 Golden Mean and Selfsimilar, Fractal Geometrical Structures in Nature

2.3 Turbulent (chaotic) Fluctuations and Selfsimilar Structure Formation

2.4 Fibonacci Sequence and Selfsimilar Structures

2.5 Fivefold and Spiral Symmetry Associated with Fibonacci Sequence

2.6 Quasicrystalline Structure : The Quasiperiodic Penrose Tiling Pattern

2.7 Selfsimilarity : A Signature of Identical Iterative Growth Process

3. Nonlinear Dynamics and Chaos in Iterative Processes

4. Cell Dynamical System Model for Atmospheric Flows

4.1 Basic Equations

4.2 Model Predictions

5. Data and Analysis

6. Results and Discussions

7. Applications for Prediction

8. Conclusions

9. Acknowledgements


Cantorian Fractal Spacetime, Quantum-like Chaos and Scale Relativity in Atmospheric Flows
 A. M. Selvam and Suvarna Fadnavis
Published with modification in Chaos, 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


A cell 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 archives http://xxx.lanl.gov/abs/chao-dyn/9809002


Cantorian Fractal Spacetime and Quantum-like Chaos in Neural Networks of the Human Brain
 A. M. Selvam
Published with modifications in Chaos, 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


Possible Solar Influence on Atmospheric Electric Field
 Poonam Sikka, A. Mary Selvam and A. S. Ramachandramurty,
Preprint volume: VII International Conference on Atmospheric Electricity, June 3-8, 1984, Albany, N. Y. American Meteorological Society, Boston, Mass., USA
The paper (html) is available at eprint archives http://xxx.lanl.gov/abs/chao-dyn/9806014


A study of circadian rhythm and meteorological factors influencing acute myocardial infarction
 A. M. Selvam, D. Sen, S. M. S. Mody,
Research Report No. RR-073, Indian Institute of Tropical Meteorology, Pune 411 008, India, April 1997
The paper (html) is available at eprint archives http://xxx.lanl.gov/abs/chao-dyn/9812014


Critical 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 archives http://xxx.lanl.gov/abs/chao-dyn/9810017


The Dynamics of Fullerene Structure Formation: Order out of Chaos Phenomenon
A. Mary Selvam and Suvarna Fadnavis,
Accepted for publication in FRACTALIA, Romania
The paper (html) is available at eprint archives http://xxx.lanl.gov/html/physics/9909052


11-Year 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 archives http://xxx.lanl.gov/html/physics/9812046 ,


Numerical 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 archives http://xxx.lanl.gov/html/physics/9911021


Summary of 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, 629-637


Electrical and 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.


A 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.


WARM 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.


Aircraft 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.


Some 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.


Quantum-like Chaos in Prime Number Distribution and in Turbulent Fluid Flows
A. M.Selvam
Canadian electronic Journal APEIRON, 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


The applications of deterministic chaos to atmospheric physics


A New Mechanism for the Maintenance of Fair Weather Electric Field and Cloud Electrification
 A. Mary Selvam, A. S. Ramachandra Murty, G. K. Manohar ,S. S. Kandalgaonkar and Bh. V. Ramana Murty
Proc. VII International Conference on Atmospheric Electricity, June3-8, 1984, Albany, N. Y. (American Meteorological Society),154-159.
The paper (html) is available at eprint archives http://xxx.lanl.gov/html/physics/9910006


A New 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 Atmospheric Aerosols, Condensation and Ice Nuclei, 2-7 Sept.1984, Budapest, Hungary, 77-81.
The paper (html) is available at eprint archives http://xxx.lanl.gov/html/physics/9912014


Cantorian Fractal Space-Time Fluctuations in Turbulent Fluid Flows and the Kinetic Theory of Gases
 A. M. Selvam
submitted for consideration of its publication in Internet Science Journal
The paper (html) is available at eprint archives http://xxx.lanl.gov/html/physics/9912035


Remote 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 archives http://xxx.lanl.gov/html/physics/0002033


Simulation 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 archives http://xxx.lanl.gov/html/physics/0006031


Universal 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 archives http://xxx.lanl.gov/html/physics/0008010


Deterministic 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 archives http://xxx.lanl.gov/html/physics/0010046


Signatures 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 archives http://xxx.lanl.gov/html/physics/0102028
Published with modification in the Canadian electronic journal APEIRON 8(4), 10-40. http://redshift.vif.com/JournalFiles/V08NO4PDF/V08N4SEL.PDF


Nonlinear 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 archives http://xxx.lanl.gov/html/physics/0104056


Universal Spectrum for Natural Variability of Climate : Implications for Climate Change
 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 archives http://xxx.lanl.gov/html/physics/0105109


Signatures of Quantum-like Chaos in Dow Jones Index and Turbulent Fluid Flows
by A.M.Selvam

http://xxx.lanl.gov/html/physics/0201006
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
A.M.Selvam

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
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


A General Systems Theory for the Observed Fractal Space-Time Fluctuations in Dynamical Systems
A. M. Selvam

http://arxiv.org/pdf/physics/0404014


Universal spectrum for DNA base C+G concentration variability in Human chromosome Y
A. M. Selvam

http://arxiv.org/pdf/physics/0405080
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


The 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
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


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. M. Selvam


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. M. Selvam


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
serial publications


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
http://www.worldacademicunion.com/journal/1746-7233WJMS/wjmsvol05no02paper09.pdf


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

Journal of Systems Science and Complexity Volume 24, Number 1, 14-38, DOI: 10.1007/s11424-011-9020-5


Universal Characteristics of Fractal Fluctuations in Prime Number Distribution
by A. M. Selvam
http://arxiv.org/pdf/0811.1853v1

Accepted for publication in International Journal of General Systems Theory


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
http://arxiv.org/pdf/1105.0172

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
http://arxiv.org/pdf/1111.3132

International Journal of Bifurcation and Chaos, Vol. 23, No. 2 (2013) 1350028 (13 pages)


A General Systems Theory for Rain Formation in Warm Clouds
by A. M. Selvam
http://arxiv.org/pdf/arxiv1211.0959

Chaos and Complexity Letters Volume 8 Issue 1 (2014) 1-42pages
Book Draft: 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
byA.M.Selvam
Environmental Science-An Indian Journal vol 9 issue 3 (2014)
http://www.tsijournals.com/tsijournals/Journals/Environmental%20Science-An%20Indian%20Journal/vol_9_issue_3.html


Universal inverse power-law distribution for temperature and rainfall in the UK region
byA.M.Selvam
http://arxiv.org/abs/1305.1188

Dynamics of Atmospheres and Oceans (Accepted) 2014


Concepts in Cloud Physics and Weather Modification


List of research publications by A. M. Selvam and colleagues


List of papers available in eprint archives at xxx.lanl.gov



 

Some links to fractal spacetime


Professor Laurent Nottale

Professor Garnet N.Ord

Dr.Felix.J.Herrmann


Some links to alternative theories, quantum mechanics, relativity etc.


suvarna@tropmet.res.in

amselvam@hotmail.com

amselvam@gmail.com

A.M.Selvam dedicates her lifetime work to her Parents I. R. Muthusamy and Ida Muthusamy


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