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  • 1
    Monograph available for loan
    Monograph available for loan
    Fractals and chaos in geology and geophysics (1997)
    Cambridge : Univ. Press
    Details Availability
    Call number: M 98.0485
    Type of Medium: Monograph available for loan
    Pages: xii, 398 S.
    Edition: 2nd Ed.
    ISBN: 0521567335
    Classification:
    Geodynamics
    Language: English
    Location: Upper compact magazine
    Branch Library: GFZ Library
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  • 2
    Monograph available for loan
    Monograph available for loan
    Mantle convection in the earth and planets (2001)
    Cambridge : Cambridge University Press
    Details Availability
    Call number: 5/M 02.0476 ; M 03.0559 ; PIK N 322-03-0113
    Type of Medium: Monograph available for loan
    Pages: xv, 940 S.
    Edition: 1st publ.
    ISBN: 0521798361
    Classification:
    Planetary Interiors
    Location: Reading room
    Location: Upper compact magazine
    Location: A 18 - must be ordered
    Branch Library: GFZ Library
    Branch Library: GFZ Library
    Branch Library: PIK Library
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  • 3
    Monograph available for loan
    Monograph available for loan
    Geodynamics (2002)
    Cambridge : Cambridge University Press
    Details Availability
    Call number: 9/M 02.0223 ; M 02.0318 ; M 03.0558
    Type of Medium: Monograph available for loan
    Pages: xiii, 456 S.
    Edition: 2nd ed.
    ISBN: 0521666244
    Classification:
    A. 2.10.
    Language: English
    Location: Reading room
    Location: Upper compact magazine
    Location: Upper compact magazine
    Branch Library: GFZ Library
    Branch Library: GFZ Library
    Branch Library: GFZ Library
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  • 4
    Monograph available for loan
    Monograph available for loan
    Contributions of space geodesy to geodynamics : crustal dynamics (1993)
    Washington : American Geophysical Union
    Associated volumes
    Details Availability
    Call number: 4/M 94.0512
    In: Geodynamics series
    Type of Medium: Monograph available for loan
    Pages: XI, 429 S.
    ISBN: 0875905234
    ISSN: 0277-6669
    Series Statement: Geodynamics series 23
    Classification:
    Geodynamics
    Language: English
    Location: Reading room
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  • 5
    Monograph available for loan
    Monograph available for loan
    Geodynamics : applications of continuum physics to geological problems (1982)
    New York : Wiley-Interscience
    Details Availability
    Call number: M 94.0527
    Type of Medium: Monograph available for loan
    Pages: 450 S.
    ISBN: 0471060186
    Classification:
    Geodynamics
    Language: English
    Location: Upper compact magazine
    Branch Library: GFZ Library
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  • 6
    Electronic Resource
    Electronic Resource
    Book review (1988)
    Springer
    Pure and applied geophysics 127 (1988), S. 695-752 
    Details
    ISSN: 1420-9136
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00881752
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  • 7
    Electronic Resource
    Electronic Resource
    Fractals in geology and geophysics (1989)
    Springer
    Pure and applied geophysics 131 (1989), S. 171-196 
    Details
    ISSN: 1420-9136
    Keywords: Fractals ; self-similarity ; scale invariance
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Physics
    Notes: Abstract The definition of a fractal distribution is that the number of objectsN with a characteristic size greater thanr scales with the relationN∼r −D. The frequency-size distributions for islands, earthquakes, fragments, ore deposits, and oil fields often satisfy this relation. Fractals were originally introduced by Mandelbrot to relate the length of a coastline to the length of the measuring stick. This application illustrates a fundamental aspect of fractal distributions, scale invariance. The requirement of an object to define a scale in photographs of many geological features is one indication of the wide applicability of scale invariance to geological problems, scale invariance can lead to fractal clustering. Geophysical spectra can also be related to fractals; these are self-affine fractals rather than self-similar fractals. Examples include the earth's topography and geoid.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00874486
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  • 8
    Electronic Resource
    Electronic Resource
    A cellular-automata, slider-block model for earthquakes I. Demonstration of chaotic behaviour for a low-order system (1992)
    Oxford, UK : Blackwell Publishing Ltd
    Geophysical journal international 111 (1992), S. 0 
    Details
    ISSN: 1365-246X
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Geosciences
    Notes: We consider a pair of slider blocks connected to each other and to a constant velocity driver by springs. Stick-slip behaviour is obtained using static and dynamic coefficients of friction. With any asymmetry, numerical calculations show that this system can exhibit classical chaotic behaviour. We simplify the behaviour of the system by assuming that the two blocks never slide together. One block may trigger the slip of the other, but its slip is delayed until the first block sticks. The orbits in phase space are periodic in the symmetrical case but the orbit the system evolves to depends on the initial conditions. If the friction coefficients of the blocks are different, we can have chaotic behaviour with positive Lyapunov exponents for some parameter values, and periodic or limit cycles orbits for other values. In some cases we have limit cycle orbits for one interval of initial conditions and chaotic behaviour for others. The Poincarè map for the model is a piecewise linear function and is strongly dependent on the parameters of the model. The behaviour of the simplified single slip model is quite similar to the original multiple slip model. The advantage of the simplified model is that the solution is algebraic and it can form the basis for a cellular-automata model which is completely deterministic.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1111/j.1365-246X.1992.tb00574.x
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  • 9
    Electronic Resource
    Electronic Resource
    A cellular-automata, slider-block model for earthquakes II. Demonstration of self-organized criticality for a 2-D system (1992)
    Oxford, UK : Blackwell Publishing Ltd
    Geophysical journal international 111 (1992), S. 0 
    Details
    ISSN: 1365-246X
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Geosciences
    Notes: It has been suggested that distributed seismicity is an example of self-organized criticality. If this is the case, the Earth's crust in an active tectonic zone is in a near-critical state and faults can interact over large distances. Observed seismicity and earthquake statistics are consequences of the dynamical interaction of seismic faulting over a wide range of scales. We address this problem by considering a two-dimensional array of slider blocks with static/dynamic friction. The twodimensional system is treated as a cellular automaton such that only one slider block is allowed to slip at a given time and interacts only with its nearest neighbours through connecting springs. Because of this treatment, the amount of slip for each failed block can be obtained analytically, and the system is deterministic with no stochastic inputs or spatial heterogeneities. In many cases, the slip of one block induces the slip of adjacent blocks. The size of an event is specified by the number of blocks that participate in the event. The number of small events with a specified size has a power-law dependence on the size with a power close to -1.36. The distributions of normalized recurrence times for most events are close to a Poisson process, and gradually deviate towards periodicity for large events. The recurrence time statistics are generally insensitive to parameter variations. Large events may occur at stress levels considerably lower than the failure strength of an individual block, and the stress drops associated with large events are generally small. This may provide an explanation for observed low stress levels in tectonically active areas.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1111/j.1365-246X.1992.tb00575.x
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  • 10
    Electronic Resource
    Electronic Resource
    Fractals, chaos, self-organized criticality and tectonics (1992)
    Oxford, UK : Blackwell Publishing Ltd
    Terra nova 4 (1992), S. 0 
    Details
    ISSN: 1365-3121
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Geosciences
    Notes: Some geological structures have simple geometrical forms and can be analysed using deterministic equations. Examples include alluvial fans and many sedimentary basins. But most geological structures are complex and appear to defy mathematical analyses. Yet in the complexity there is an order. Complex geological structures generally obey fractal statistics. Examples include topography, distributions of earthquakes and faults, and mineral deposits. An unresolved question is whether the fractal order is simply the result of scale invariance or the result of governing equations that yield deterministic chaos. In order to try to answer this question a variety of slider-block models have been considered. The stick-slip behaviour of slider-block models is a simple analogy to earthquakes. A pair of slider-blocks has been shown to behave chaotically. Models that use many slider-blocks exhibit self-organized criticality and generate fractal statistics similar to the statistics of regional seismicity.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1111/j.1365-3121.1992.tb00444.x
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