Nonlinear dynamics, chaos and fractals with applications to geological systems

Cover of: Nonlinear dynamics, chaos and fractals with applications to geological systems |

Published by Geological Association of Canada in St. John"s, Nfld .

Written in English

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Subjects:

  • Geology -- Mathematics.,
  • Dynamics.,
  • Nonlinear theories.,
  • Fractals.,
  • Chaotic behavior in systems.

Edition Notes

Book details

Statementeditor, G.V. Middleton ; authors, John Chadam ... [et al.].
SeriesShort course notes (Geological Association of Canada) -- v.9
ContributionsGeological Association of Canada.
Classifications
LC ClassificationsQE"33.2"M3"N66"1991
The Physical Object
Paginationviii, 235 p. :
Number of Pages235
ID Numbers
Open LibraryOL21027203M
ISBN 100919216471

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This is an attempt to analyze the current lithospheric stress pattern in the Baikal rift in terms of nonlinear dynamics as an open self-organizing system in order to gain more insights into the. Nonlinear dynamics, chaos and fractals with applications to geological Gerard V.

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Chaos in a time series, in Middleton, G.V., Ed., Nonlinear dynamics, chaos and fractals with applications to geological systems,Short Course Notes, V. 9: Toronto, Ontario, Geological Association of Canada, p. The paper mainly focuses on a novel hyperchaotic system. The local stability of equilibrium is analyzed and existence of Hopf bifurcation is established.

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The book provides a detailed description of the current research on the application of fractal concepts, nonlinear dynamics and disordered systems in chemical engineering, with emphasis on interdisciplinary connections with related fields, such as control theory of nonlinear systems, dynamic theory of fractals, transport theory and physical.

This paper has dedicated to study the control of chaos when the system dynamics is unknown and there are some limitations on measuring states.

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The chapters relate to many fields of chaos including Dynamical and Nonlinear Systems, Attractors and Fractals, Hydro-Fluid Dynamics and Mechanics, Chaos in Meteorology and Cosmology, Chaos in Biology and Genetics, Chaotic Control, Chaos in Economy and Markets, and Computer Composition and Chaotic Simulations, including related applications.

Chadam, J. () “Geochemical self—organization: An application of nonlinear dynamics”, in: Nonlinear Dynamics, Chaos and Fractals with Applications to Geological Systems(G.V.

Middleton, Ed.): 83–96, Geological Association of Canada, Toronto. Google Scholar. Nonlinear dynamics, chaos and fractals: with applications to geological systems by Gerard V.

Middleton Wavelets and Fractals in Earth System Sciences by E. Chandrasekhar next ›. Rundle JB, Turcotte DL, Shcherbakov R, Klein W, Sammis C () Statistical physics approach to understanding the multiscale dynamics of earthquake fault systems. Rev Geophys Google Scholar Schertzer D, Lovejoy S () The dimension and intermittency of atmospheric dynamics multifractal cascade dynamics and turbulent intermittency.

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Applications range from classical problems such as the buckling of cylindrical shells, twisted rods and pipelines, to the folding of geological strata, the failure of sandwich structures and the propagation of solitary waves in suspended beam systems.

Contents: The Strut on an Elastic Foundation; Numerics and Discretization; Twisted Rods. It becomes frighteningly evident that no matter how many super computers we have grinding away, it will take more than chaos theory, classical dynamics, and geological models to predict erosion.

For fractals to be of any practical use in predicting erosion, they would need to be examined in a nonlinear context. The SCOPUS database provides searching of author affiliations within their broad interdisciplinary journal coverage. View journal articles with SXU as the author affiliation.

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Although many complex systems appear to behave in a random manner, chaos theory shows that, in reality, there is an underlying order that is difficult to see.

The chaos theory pdf. Chaos theory is concerned with unpredictable courses of events. The irregular and unpredictable time evolution of many nonlinear and complex linear systems has been named chaos. Chaos is best illustrated by Lorentz’ famous butterfly effect: the notion that a butterfly stirring the air in Hong Kong today can transform storm systems in New York next month.

ory, chaos, fractals, and other (then) unconventional approaches. Again, he was far ahead of main-stream thinking in applying multidisciplinary nonlinear dynamics to geological and cosmological processes.

As a measure of his rapidly expanding intellectual horizons at that time, in. [41] Processes generating nonlinear dynamics in flow through unsaturated fractured porous media can be divided into two categories: (1) the complex geometry of flow paths and (2) nonlinear liquid flow and chemical transport through fractures and surrounding matrix.

A key question is, What is the role of internal factors associated with the Cited by: Chaos, Fractals, and Dynamics: Computer Experiments in Mathematics Robert L.

Devaney / Paperback / Published Coping With Chaos: Analysis of Chaotic Data and the Exploitation of Chaotic Systems (Wiley Series in Nonlinear Science) Edward Ott(Editor), et al / Paperback / Published Discrete Dynamical Systems: Theory and Applications.

Dragon king (DK) is a double metaphor for an event that is both extremely large in size or impact (a "king") and born of unique origins (a "dragon") relative to its peers (other events from the same system).

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Math Introduction to Dynamics and Chaos Mathematics. The course is an introduction to nonlinear dynamics and chaos theory. It will cover stability in nonlinear systems of differential equations, bifurcation theory, chaos, strange attractors, iteration of nonlinear mappings, fractals, and applications.

Chaos, Solitons & Fractals() Building a puzzle to solve a riddle: A multi-scale disaggregation approach for multivariate stochastic processes with any marginal distribution and correlation by: Chaos, Fractals, Dynamic Systems Combinatorics Nonlinear & Complex Systems Nuclear & High Energy Physics Optics & Photonics Particle Physics Physics Special Topics Physics & Astronomy.

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The book obviously concentrates only on a few aspects of nonlinear mathematics, mainly deterministic chaos and nonlinear dynamics, and several applications.

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A brief introduction to the discovery of chaos theory and its applications to understanding human awareness and behavior. The mathematics of deterministic chaos underlies the growth patterns of nature and our nature. There is an implicate order in chaos.

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