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.
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
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
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
1.Introduction (contains Sections 2. and 2.1)
2. Nonlinear Dynamics and Chaos
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
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
A. S. Ramachandra.Murty, A. Mary Selvam and Bh. V. Ramana Murty
Published in Journal of Applied Meteorology, USA, 1975, Vol.14, 629-637
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. Mary Selvam, A. S. Ramachandra Murty and Bh.V. Ramana Murty
Proceedings of the Indian Academy of Sciences, 1978, 87A, 179-191.
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.
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.
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.
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
by A.M.Selvam
http://xxx.lanl.gov/html/physics/0201006
Apeiron 10, 1-28 (2003).http://redshift.vif.com/JournalFiles/V10NO4PDF/V10N4SEL.PDF
A.M.Selvam
APEIRON 9(4), 103-148, 2002 http://redshift.vif.com/JournalFiles/V09NO4PDF/V09N4sel.pdf
http://arxiv.org/html/physics/0210068
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
A.M.Selvam
Proc. IEEE, NAECON 91, Dayton, U. S. A. May 20-24, 1991
http://arxiv.org/html/physics/0305104
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
by A.Mary Selvam
Proc. American Meteorological Society 8th Conf. Numerical Weather Prediction, February 1988, Baltimore, MD., USA.
R. R. Joshi and A. M. Selvam
published in Fractals, Vol. 7, No. 4 (1999) 421-425
A. M. Selvam
http://arxiv.org/pdf/physics/0404014
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
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
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
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
A. M.Selvam and M. Radhamani
The pages 335 to 342 are available at
aasp8.pdf
by A. M.Selvam and M. Radhamani
The pages 76 to 77 are available at
mas2p.pdf
by A. M. Selvam
by A. M. Selvam and M. Radhamani
by A. M. Selvam
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
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
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).
by A. M. Selvam
Adv. Atmos. Sci. 10(2), 221-226 (1993)
by A. M. Selvam
Adv. Atmos. Sci. 12(3), 377-385 (1995)
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
by A. M. Selvam
http://arxiv.org/pdf/0704.2114
by A. M. Selvam
The original version is available at http://arxiv.org/pdf/0805.3426
Fractals 17(3), 333-249 (2009)
by A. M. Selvam
http://arxiv.org/pdf/0808.2388v1
by A. M. Selvam
http://arxiv.org/pdf/0811.1853v1
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)
by A. M. Selvam
http://arxiv.org/pdf/1002.3230
by A. M. Selvam
http://arxiv.org/pdf/1006.4554v1
by A. M. Selvam
http://arxiv.org/pdf/1005.1336
Chaos & Complexity Letters, International Journal of Complex Systems Research, vol. 6 issue 3, 2012
by A. M. Selvam
http://arxiv.org/pdf/1105.0172
Journal Nonlinear Dynamics and Systems Theory Volume 12 Number 4 (2012) 397-434.
by A. M. Selvam
http://arxiv.org/pdf/1111.3132
Accepted for publication in International Journal of Bifurcation and Chaos
by A. M. Selvam
http://arxiv.org/pdf/arxiv1211.0959
Conference Papers
byA.M.Selvam
http://arxiv.org/pdf/arxiv1305.1188
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
Some links to alternative theories, quantum mechanics, relativity etc.
A.M.Selvam dedicates her lifetime work to her Parents I. R. Muthusamy and Ida Muthusamy
