updated on 19 July 2014

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

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.

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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.

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

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.

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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.

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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*

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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

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Proc. International Geoscience and Remote Sensing Symposium (IGARSS'87)

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

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

http://arxiv.org/html/physics/0305104

by A.Mary Selvam

http://arxiv.org/html/physics/0308094

by A.Mary Selvam

by R. R. Joshi and A. M. Selvam

published in

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

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published in

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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

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The pages 335 to 342 are available at

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The pages 76 to 77 are available at

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Also available at http://arxiv.org/pdf/physics/0503028

Published in

http://www.emph.com.ua/15/selvam.htm

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Also available at http://arxiv.org/pdf/physics/0603065

Volume 2, Number 1, January-June 2009, pp.27-43

serial publications

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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).

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Adv. Atmos. Sci. 10(2), 221-226 (1993)

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Adv. Atmos. Sci. 12(3), 377-385 (1995)

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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

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http://arxiv.org/pdf/0704.2114

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The original version is available at http://arxiv.org/pdf/0805.3426

Fractals 17(3), 333-249 (2009)

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http://arxiv.org/pdf/0808.2388v1

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http://arxiv.org/pdf/0811.1853v1

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http://arxiv.org/pdf/1002.3230

also available at http://www.geocities.ws/amselvam/ghcnpr/ghcnprfractals.pdf

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http://arxiv.org/pdf/1006.4554v1

also available at http://www.geocities.ws/amselvam/jama/amsmod.pdf

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

* List of papers available in eprint archives at xxx.lanl.gov
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*Some links to fractal spacetime*

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

mail to: suvarna@tropmet.res.in