Fractal Fluctuations And Climate Cycles In Atmospheric Flows
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Fractal Fluctuations And Climate Cycles In Atmospheric Flows
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Author : A.M. Selvam
language : en
Publisher: Cambridge Scholars Publishing
Release Date : 2025-05-04
Fractal Fluctuations And Climate Cycles In Atmospheric Flows written by A.M. Selvam and has been published by Cambridge Scholars Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-04 with Mathematics categories.
Within this book, the author has developed a general systems theory based on classical statistical physics for fractal fluctuations which predicts the following: (i) The fractal fluctuations signify an underlying eddy continuum, the larger eddies being the integrated mean of enclosed smaller-scale fluctuations; (ii) the probability distribution of eddy amplitudes and the variance (square of eddy amplitude) spectrum of fractal fluctuations follow the universal Boltzmann inverse power law expressed as a function of the golden mean; (iii) fractal fluctuations are signatures of quantum-like chaos since the additive amplitudes of eddies when squared represent probability densities analogous to the sub-atomic dynamics of quantum systems such as the photon or electron; (iv) the model predicted distribution is very close to statistical normal distribution for moderate events within two standard deviations from the mean but exhibits a fat long tail that are associated with hazardous extreme events.
Fractal Fluctuations And Climate Cycles In Atmospheric Flows
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Author :
language : en
Publisher:
Release Date : 2025
Fractal Fluctuations And Climate Cycles In Atmospheric Flows written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025 with categories.
Self Organized Criticality And Predictability In Atmospheric Flows
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Author : Amujuri Mary Selvam
language : en
Publisher: Springer
Release Date : 2017-05-05
Self Organized Criticality And Predictability In Atmospheric Flows written by Amujuri Mary Selvam and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-05 with Science categories.
This book presents a new concept of General Systems Theory and its application to atmospheric physics. It reveals that energy input into the atmospheric eddy continuum, whether natural or manmade, results in enhancement of fluctuations of all scales, manifested immediately in the intensification of high-frequency fluctuations such as the Quasi-Biennial Oscillation and the El-Nino–Southern Oscillation cycles. Atmospheric flows exhibit self-organised criticality, i.e. long-range correlations in space and time manifested as fractal geometry to the spatial pattern concomitant with an inverse power law form for fluctuations of meteorological parameters such as temperature, pressure etc. Traditional meteorological theory cannot satisfactorily explain the observed self-similar space time structure of atmospheric flows. A recently developed general systems theory for fractal space-time fluctuations shows that the larger-scale fluctuation can be visualised to emerge from the space-time averaging of enclosed small-scale fluctuations, thereby generating a hierarchy of self-similar fluctuations manifested as the observed eddy continuum in power spectral analyses of fractal fluctuations. The interconnected network of eddy circulations responds as a unified whole to local perturbations such as global-scale response to El-Nino events. The general systems theory model predicts an inverse power law form incorporating the golden mean τ for the distribution of space-time fluctuation patterns and for the power (variance) spectra of the fluctuations. Since the probability distributions of amplitude and variance are the same, atmospheric flows exhibit quantumlike chaos. Long-range correlations inherent to power law distributions of fluctuations are identified as nonlocal connection or entanglement exhibited by quantum systems such as electrons or photons. The predicted distribution is close to the Gaussian distribution for small-scale fluctuations, but exhibits a fat long tail for large-scale fluctuations. Universal inverse power law for fractal fluctuations rules out unambiguously linear secular trends in climate parameters.
Chaotic Climate Dynamics
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Author : A. Selvam
language : en
Publisher: Luniver Press
Release Date : 2007-08
Chaotic Climate Dynamics written by A. Selvam and has been published by Luniver Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-08 with Mathematics categories.
Atmosphere is a chaotic system. As such it is inherently unpredictable. The book applies chaos theory to understand and predict climate systems. Author presents a cell dynamical system model for turbulent fluid flows. The model envisages the irregular space-time fluctuations of the atmospheric flow pattern generated as a consequence of the superimposition of a continuum of eddies. The natural space-time variability is quantified in terms of the universal inverse power-law form of the statistical normal distribution. A range of possible applications of the cell dynamical system model for weather and climate system is discussed. The book provides a comprehensive reference material for scientists and academicians working in the field of atmospheric sciences and related topics.
Chaotic Dna Dynamics
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Author : Amujuri Mary Selvam
language : en
Publisher: World Scientific
Release Date : 2022-05-30
Chaotic Dna Dynamics written by Amujuri Mary Selvam and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-30 with Science categories.
A general systems theory model predicts quasiperiodic Penrose tiling pattern for the nested coiled structure of the DNA molecule in the chromosome resulting in maximum packing efficiency and unified whole fuzzy logic network architecture with ordered two-way signal transmission between the coding and non-coding (junk DNA) regions.Junk DNA are not redundant. Modification of the DNA base sequence structure at any location may have significant noticeable effects on the function of the DNA molecule as a whole. This book helps us understand the cooperative existence of individual components for optimum performance of the system.
Proceedings Of The International Conference On Monsoon Variability And Prediction
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Author :
language : en
Publisher:
Release Date : 1994
Proceedings Of The International Conference On Monsoon Variability And Prediction written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Monsoons categories.
The Weather And Climate
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Author : Shaun Lovejoy
language : en
Publisher: Cambridge University Press
Release Date : 2013-04-04
The Weather And Climate written by Shaun Lovejoy and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-04 with Nature categories.
A new method of modeling the atmosphere, synthesizing data analysis techniques and multifractal statistics, for atmospheric researchers and graduate students.
Physics Briefs
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Author :
language : en
Publisher:
Release Date : 1994
Physics Briefs written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Physics categories.
Advances In Nonlinear Geosciences
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Author : Anastasios A. Tsonis
language : en
Publisher: Springer
Release Date : 2017-10-13
Advances In Nonlinear Geosciences written by Anastasios A. Tsonis and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-13 with Science categories.
Advances in Nonlinear Geosciences is a set of contributions from the participants of “30 Years of Nonlinear Dynamics” held July 3-8, 2016 in Rhodes, Greece as part of the Aegean Conferences, as well as from several other experts in the field who could not attend the meeting. The volume brings together up-to-date research from the atmospheric sciences, hydrology, geology, and other areas of geosciences and presents the new advances made in the last 10 years. Topics include chaos synchronization, topological data analysis, new insights on fractals, multifractals and stochasticity, climate dynamics, extreme events, complexity, and causality, among other topics.
Scientific And Technical Aerospace Reports
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Author :
language : en
Publisher:
Release Date : 1995
Scientific And Technical Aerospace Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Aeronautics categories.
Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.