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Title: Math/Differential Equations/Dynamical Systems - Climate Dynamics, Chaos and Quantum Mechanics A general systems theory for chaos, quantum mechanics and climate dynamics applicable to dynamical systems of all space-time scales.
Crowd_Dynamics Crowd and Egress Dynamics by G. Keith Still.

Dynamical_Systems_Data_Base Data base of around 50,000 planar dynamical systems.

Dynamical_Systems_Home_Page Conference listings, survey articles, open problems, people, jobs, and seminars.

Dynamical_Systems_Lab This set of lectures is designed to explore one-dimensional dynamical systems using the software Chaos and Dynamics.

Dynamical_Systems_Websites A list of research sites maintained at the University of Warwick.

Dynamics_in_One_Complex_Variable These notes study the dynamics of iterated holomorphic mappings from a Riemann surface to itself. The reader is assumed to be familiar with the rudiments of complex variable theory and of two-d


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var PUpage="76001084"; var PUprop="geocities"; var thGetOv="http://themis.geocities.yahoo.com/themis/h.php"; var thCanURL="http://us.geocities.com/amselvam/index.html"; var thSpaceId="76001084"; var thIP="68.178.254.29"; var thTs="1228241714"; var thCs="71431db2aba6628991574752d6a53501"; Climate Dynamics,Chaos and Quantum Mechanics Nedstat Basic - Free web site statistics MIRROR SITE http://members.tripod.com/~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 Flows who are the visitors? See who's visiting this page. View Page StatsSee who's visiting this page. Counter Updated on 13 November 2008 Sign Guestbook View Guestbook Book entitled CHAOTIC CLIMATE DYNAMICS by A.M.Selvam, Luniver Press 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 Theory of Everything for Chaos,Quantum Mechanics and Gravity, Applicable to Macroscale Weather Patterns

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 A Superstring Theory for Fractal Spacetime,Chaos and Quantumlike Mechanics in Atmospheric Flows by 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 Cantorian Fractal Spacetime, Quantum-like Chaos and Scale Relativity in Atmospheric Flows by A. M. Selvam and Suvarna Fadnavis published in Chaos,Solitons and Fractals 10(9), 1577 - 1582 (1999) The paper(html) is available at eprint archives http://xxx.lanl.gov/abs/chao-dyn/9808015 A cell dynamical system model for thundercloud electrification by 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 by 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 by 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 by A.M.Selvam,D.Sen and 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 Quantum-like Chaos in Prime Number Distribution and in Turbulent Fluid Flows by A.M.Selvam published with modifications in Canadian electronic Journal APEIRON 8(3), 29-64, (2001) http://redshift.vif.com/JournalFiles/V08NO3PDF/V08N3SELPDF The paper(html) is available at eprint archives http://xxx.lanl.gov/html/physics/0005067 The Dynamics of Fullerene Structure Formation : Order out of Chaos Phenomenon by A.M.Selvam accepted for publication in Fractalia, Romania The paper(html) is available at eprint archives http://xxx.lanl.gov/html/physics/9909052 A New Mechanism for the Maintenance of Fair Weather Electric Field and Cloud Electrification 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, June 3-8,1984,Albany,N.Y.(American Meteorological Society),154-159. The paper(html) is available at eprint archives http://xxx.lanl.gov/html/physics/9910006 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 hoseholds 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. 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 some links to web sites dealing with New theories,quantum mechanics,gravity and chaos List of research publications of A.M.Selvam and colleagues List of publications(html) available at eprint archives at xxx.lanl.gov TABLE OF CONTENTS Paper entitled Signatures of a Universal Spectrum for Atmospheric Interannual Variability in Some Disparate Climatic Regimes by A.M.Selvam and S.Fadnavis published in Meteorology and Atmospheric Physics 66, 87-112 (1998),Springer-Verlag Wien The complete paper(html)is available in eprint archives http://xxx.lanl.gov/abs/chao-dyn/9805028 summary A moment for reflection 1.Introduction 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 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 References 11-Year Warm Cloud Modification Experiment in Maharashtra State, India by A.S.R.Murty et al. The complete paper(html)is available in eprint archives http://xxx.lanl.gov/html/physics/9812046 Published in Journal Weather Modification (USA), Vol.32,10-20, 2000 Summary of observations indicating dynamic effect of salt seeding in warm cumulus clouds.by 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.by A. S. Ramachandra Murty, A. M. Selvam, S. K. Paul, R. Vijayakumar and Bh. V. Ramana Murty Published in Journal of Applied Meteorology, USA, 1976, Vol.15, 1295-1301. Aircraft measurement of electrical parameters inside monsoon clouds.by A. Mary Selvam, A. S. Ramachandra Murty, R. Vijayakumar and Bh.V. Ramana Murty Published in Indian Journal of Meteorology, Hydrology and Geophysics, 1976, Vol.27, 391-396. A numerical technique for simulation of cloud seeding experiments.by A. Mary Selvam, A. S. Ramachandra Murty and Bh.V. Ramana Murty Published in Proceedings of the Indian Academy of Sciences, 1978, 87A, 179-191. Some thermodynamical and microphysical aspects of monsoon clouds.by 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 Published in Proceedings of the Indian Academy of Sciences, 87(A), 2 July, 1980, 215-230. 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 complete paper(html)is available in eprint archives http://xxx.lanl.gov/html/physics/9911021 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 complete paper(html)is available in 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 The original paper(html) is available in eprint archives http://xxx.lanl.gov/html/physics/9912035 The modified paper is published in Canadian electronic journal APEIRON 9(2) April 2002, 1-19.redshift.vif.com/JournalFiles/V09NO2PDF/V09N2sel.PDF Remote Sensing of Geomagnetic Field and Applications to Climate Prediction by A.Mary Selvam Proc. International Geoscience and Remote Sensing Symposium (IGARSS'87), 18-21 May 1987, Michigan, USA. The complete paper(html)is available in eprint archives http://xxx.lanl.gov/html/physics/0002033 Simulation of Urban Effects of Cloud Physical Parameters by A.Mary Selvam and A.S.R.Murty Proc. International Conference on Energy Transformations and Interactions with Small and Mesoscale Atmospheric Processes, 2-6 March 1987, Switzerland The complete paper(html)is available in eprint archives http://xxx.lanl.gov/html/physics/0006031 Universal quantification for deterministic chaos in dynamical systems by A.Mary Selvam Published in Applied Mathematical Modelling,1993,Vol.17, 642-649 Deterministic chaos, fractals and quantumlike mechanics in atmospheric flows by A.Mary Selvam Published in Canadian J. Physics, 68, 831 - 841 (1990) The complete paper(html)is available in 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 by A.Mary Selvam The complete paper(html)is available in eprint archives http://xxx.lanl.gov/html/physics/0102028 Published with modification in the Canadian electronic journal APEIRON8(4), 10-40. http://redshift.vif.com/JournalFiles/V08N04PDF/V08N4SEL.PDF Nonlinear Dynamics and Chaos: Applications for Prediction of Weather and Climate by J.S.Pethkar and A.M.Selvam Proc. TROPMET 97, Bangalore, India, 10-14 Feb. 1997. The complete paper(html)is available in eprint archives http://xxx.lanl.gov/html/physics/0104056 Universal Spectrum for Natural Variability of Climate: Implications for Climate Change by J. S. Pethkar and A. M. Selvam Proc. Amer. Meteorol. Soc.10th Conf. Applied Climatology, Fall 1997, Western USA The complete paper(html)is available in 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 The complete paper(html)is available in eprint archives http://arxiv.org/html/physics/0201006 Modified paper published in Apeiron 10, 1-28 (2003). http://redshift.vif.com/JournalFiles/V10NO4PDF/V10N4SEL.PDF The Application of deterministic Chaos to Atmospheric Physics Quantumlike Chaos in the Frequency Distributions of the Bases A, C, G, T in Drosophila DNA by A. M. Selvam Modified paper published in the October issue of the Canadian electronic journal APEIRON 9(4), 103-148, 2002 redshift.vif.com/JournalFiles/V09NO4PDF/V09N4sel.pdf Also available in LANL archives http://arxiv.org/html/physics/0210068 Quantumlike chaos in the frequency distributions of bases A, C, G, T in human chromosome1 DNA by A. M. Selvam Available in LANL archives 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 Deterministic Chaos: A signature of Quantumlike Mechanics in Self-Organized Adaptive Networks by 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 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 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 by R. R. Joshi and A. M. Selvam published in Fractals, Vol. 7, No. 4 (1999) 421-425 The dynamics of non-linear ionospheric rf wave processes 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.h Self-organized criticality: A signature of quantumlike chaos in atmospheric flows by A. M.Selvam included in 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 http://igras.geonet.ru:8081/igras_e/depart/vas/sig-vas.htm A General Systems Theory for the Observed Fractal Space-Time Fluctuations in Dynamical Systems by A. M.Selvam http://arxiv.org/pdf/physics/0404014 Universal spectrum for DNA base C+G concentration variability in Human chromosome Y 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.worldses.org/wseas.htm Fractal space-time fluctuations: A signature of quantumlike chaos in dynamical systems by A. M.Selvam Also available at http://arxiv.org/pdf/physics/0408089 Signatures of a universal spectrum for nonlinear variability in daily columnar total ozone content. Adv. Atmos. Sci. 1994, 11(3), 335-342 by A. M.Selvam and M. Radhamani Pages 335 to 342 are available at aas/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 Pages 76 and 77 are available at mas/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 (1995). 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, 1987, 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 Spectral Analysis of Dow Jones Index and Comparison with Model Predicted Cycles During 1900-2005 by A.M.Selvam http://amselvam.tripod.com/dow6/dowprd1.pdf http://arxiv.org/pdf/physics/0603065 A Cell Dynamical System Model for Simulation of Continuum Dynamics of Turbulent Fluid Flows by A.M.Selvam and S. Fadnavis http://amselvam.tripod.com/trecop98/trecop2.pdf Universal spectrum for DNA base C+G frequency distribution in Human chromosomes 1 to 24 by A.M.Selvam http://amselvam.tripod.com/chr361hu1to24/selchr3611to24.pdf http://arxiv.org/pdf/physics/0701079 Universal spectrum for DNA base CG frequency distribution in Takifugu rubripes (Puffer fish) genome by A.M.Selvam http://amselvam.tripod.com/puffer/tbiopaparxiv.pdf http://arxiv.org/pdf/0704.2114 Fractal Fluctuations and Statistical Normal Distribution by A.M.Selvam http://amselvam.tripod.com/nrmdst/fracams.pdfThe original version is available at http://arxiv.org/pdf/0805.3426 Signatures of Universal Characteristics of Fractal Fluctuations in Global Mean Monthly Temperature Anomalies by A.M.Selvam http://amselvam.tripod.com/ghcn/ghcnfracweb.pdf http://arxiv.org/pdf/0808.2388v1 Universal Characteristics of Fractal Fluctuations in Prime Number Distribution by A.M.Selvam http://amselvam.tripod.com/primefrac/primefrac1.pdf http://arxiv.org/pdf/0808.0811.1853v1 I am A.M.Selvam.The work reported here is in collaboration with S.Fadnavis I signed up on 08/03/97 23:13:56,I have now moved in (5 August 1997). The description of my page is: theory of everything for chaos, quantum mechanics and gravity applicable to weather patterns mailto:amselvam@hotmail.com mailto:amselvam@gmail.com mailto:suvarna@tropmet.res.in This page hosted by Get your own Free Home Page _uacct = "UA-221335-2"; urchinTracker(); geovisit();setstats 1
 

A

general

systems

theory

for

chaos,

quantum

mechanics

and

climate

dynamics

applicable

to

dynamical

systems

of

all

space-time

scales.

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