Book entitled CHAOTIC CLIMATE DYNAMICS by A.M.Selvam is available at Amazon.com
visits since 25 May 1998
by A.M.SELVAM and SUVARNA FADNAVIS
Published with modification in Chaos,Solitons and Fractals(vol 10(8), 1321-1334, 1999)
The unmodified paper(html) is available at eprint archives http://xxx.lanl.gov/abs/chao-dyn/9806002
The complete paper(html)is available in eprint archives http://xxx.lanl.gov/abs/chao-dyn/9805028
A hierarchy of selfsimilar structures: The large scale is a magnified version of the small scale.
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
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.
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.
Long-range spatiotemporal correlations (non-local connections) in atmospheric flows
A superstring theory for atmospheric flow dynamics?
For a brief summary GO TO Universal quantification for self-organized criticality in atmospheric flows
and
CHAOS, QUANTUMLIKE MECHANICS AND NON-LOCALITY IN ATMOSPHERIC FLOWS
For detailed theory GO TO Table of Contents
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
7. Applications for Prediction
The unmodified paper(html) is available at eprint archives http://xxx.lanl.gov/abs/chao-dyn/9808015
The paper(html) is available at eprint archives http://xxx.lanl.gov/abs/chao-dyn/9809002
The unmodified paper(html) is available at eprint archives http://xxx.lanl.gov/abs/chao-dyn/9809003
The paper(html) is available at eprint archives http://xxx.lanl.gov/abs/chao-dyn/9806014
The paper(html) is available at eprint archives http://xxx.lanl.gov/abs/chao-dyn/9812014
The paper(html) is available at eprint archives http://xxx.lanl.gov/html/physics/9909052
The paper(html) is available at eprint archives http://xxx.lanl.gov/html/physics/9812046 Published Journal Weather Modification (USA),Vol.32,10-20, 2000
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.
The paper(html) is available at eprint archives http://xxx.lanl.gov/html/physics/0005067
The modified paper is published in Canadian electronic Journal APEIRON 8(3), 29-64, (2001) http://redshift.vif.com/JournalFiles/V08NO3PDF/V08N3SELPDF
The applications of deterministic chaos to atmospheric physics
by 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.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
by A.M.Selvam
The paper(html) is available at eprint archives http://xxx.lanl.gov/html/physics/9912035
The modified paper is published in APEIRON 9(2), 2002, 1-19
by 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
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
Applied Mathematical Modelling, 1993, Vol. 17, 642-649
scanned original paper https://amselvam.tripod.com/applmath/selvam1993.html
The paper(html) is available at eprint archives http://xxx.lanl.gov/html/physics/0008010
Canadian J. Phys. 68, 831 - 841 (1990)
The paper(html) is available at eprint archives http://xxx.lanl.gov/html/physics/0010046
by A.M.Selvam
Published with modification in the Canadian electronic journal APEIRON8(4), 10-40 (2001.
http://redshift.vif.com/JournalFiles/V08N04PDF/V08N4SEL.PDF
The original paper(html) is available at eprint archives http://xxx.lanl.gov/html/physics/0102028
by 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
by 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
The paper(html) is available at eprint archives http://xxx.lanl.gov/html/physics/0201006
Modified paper published in Apeiron 10, 1-28 (2003).http://redshift.vif.com/JournalFiles/V10NO4PDF/V10N4SEL.PDF
by A.M.Selvam
Published in the October issue of Canadian electronic journal APEIRON 9(4), 103-148, 2002 http://redshift.vif.com/JournalFiles/V09NO4PDF/V09N4sel.pdf
Also available in LANL archives http://arxiv.org/html/physics/0210068
by 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
Published in the Canadian electronic journal APEIRON, Volume 11 Number 3 (July 2004), 134-146. http://redshift.vif.com/JournalFiles/V11NO3PDF/V11N3SEL.PDF
by A.M.Selvam
Proc. IEEE, NAECON 91, Dayton, U. S. A. May 20-24, 1991
http://arxiv.org/html/physics/0305104
by 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.
by R. R. Joshi and A. M. Selvam
published in Fractals, Vol. 7, No. 4 (1999) 421-425
by A. M. Selvam
http://arxiv.org/pdf/physics/0404014
by A. M. Selvam
Also available at 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
by 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
by 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
by 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
by 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
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/pdf/1002.3230
also available at http://www.geocities.ws/amselvam/ghcnpr/ghcnprfractals.pdf
by A. M. Selvam
http://arxiv.org/pdf/1006.4554v1
also available at http://www.geocities.ws/amselvam/jama/amsmod.pdf
Conference Papers
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.
mail to: suvarna@tropmet.res.in