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  • Springer  (101)
  • American Physical Society  (67)
  • Oxford University Press
  • 1995-1999  (133)
  • 1980-1984  (39)
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Year
  • 1
    Electronic Resource
    Electronic Resource
    Topological and phenomenological classification of bursting oscillations (1995)
    Springer
    Bulletin of mathematical biology 57 (1995), S. 413-439 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract We describe a classification scheme for bursting oscillations which encompasses many of those found in the literature on bursting in excitable media. This is an extension of the scheme of Rinzel (inMathematical Topics in Population Biology, Springer, Berlin, 1987), put in the context of a sequence of horizontal cuts through a two-parameter bifurcation diagram. We use this to describe the phenomenological character of different types of bursting, addressing the issue of how well the bursting can be characterized given the limited amount of information often available in experimental settings.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02460633
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  • 2
    Electronic Resource
    Electronic Resource
    Numerical simulation of collapsible-tube flows with sinusoidal forced oscillations (1996)
    Springer
    Bulletin of mathematical biology 58 (1996), S. 1023-1046 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract Collapsible-tube flow with self-excited oscillations has been extensively investigated. Though physiologically relevant, forced oscillation coupled with self-excited oscillation has received little attention in this context. Based on an ODE model of collapsible-tube flow, the present study applies modern dynamics methods to investigate numerically the responses of forced oscillation to a limit-cycle oscillation which has topological characteristics discovered in previous unforced experiments. A devil's staircase and period-doubling cascades are presented with forcing frequency and amplitude as control parameters. In both cases, details are provided in a bifurcation diagram. Poincaré sections, a frequency spectrum and the largest Lyapunov exponents verify the existence of chaos in some circumstances. The thin fractal structure found in the strange attractors is believed to be a result of high damping and low stiffness in such systems.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02458382
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  • 3
    Electronic Resource
    Electronic Resource
    A study of the bifurcation behaviour of a model of flow through a collapsible tube (1996)
    Springer
    Bulletin of mathematical biology 58 (1996), S. 611-641 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract Most of the elastic tubes found in the mammalian body will collapse from a distended circular cross section and when collapsed may undergo flow-induced oscillations. A mathematical model describing fluid flow in a collapsible tube is analysed using the software package AUTO-86. AUTO-86 is used for continuation and bifurcation problems in systems of non-linear ordinary differential equations. The model is a third-order lumped-parameter type and is based on the classical “Starling resistor”; it describes the unsteady flow behaviour and, in particular, the experimentally observed self-excited oscillations, in a way which is simple enough to give physical understanding, yet still firmly based on fluid mechanical principles. Some of the bifurcation types found in this model bear close resemblance to the types suggested by experimental observations of self-excited oscillations in collapsible tubes; they thus shed some light on the various topological changes which occur in practice, particularly in view of the fact that some of the points found numerically are diffcult to achieve experimentally, while the existence of others can only be inferred indirectly and uncertainly from experiment.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02459476
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  • 4
    Electronic Resource
    Electronic Resource
    Algebraic structures of Makarevič spaces. I (1998)
    Springer
    Transformation groups 3 (1998), S. 3-32 
    Details
    ISSN: 1531-586X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We generalize features of bounded symmetric domains to a bigger class of symmetric spaces calledMakarevič spaces: we associate a generalizedBergman operator to such a space and describe the invariant pseudo-metric and the invariant measure on the space by means of this family of operators. The space itself can be characterized essentially as the domain where the generalized Bergman operator is nondegenerate. These results are applied to the theory ofcompactly causal symmetric spaces: we describe explicitly the complex domain Ξ associated to such a space.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01237837
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  • 5
    Electronic Resource
    Electronic Resource
    New research opportunities in superconductivity IV (1997)
    Springer
    Journal of superconductivity and novel magnetism 10 (1997), S. 583-621 
    Details
    ISSN: 1557-1947
    Keywords: Superconductivity ; research opportunities ; state of the art
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology , Physics
    Notes: Abstract This report surveys the considerable progress made over the last five years—such as the marketing of superconducting quantum interference devices (SQUIDs), cellular wireless filter systems, and high current leads—and assesses needs and opportunities in the areas of fundamental science, materials development, thin film and device applications, and wire and bulk applications. It examines the challenges facing high-temperature superconductivity: from the need to understand the mechanism of high-temperature superconductivity and the unusual “normal” state to the need for new instrumentation for material characterization. Advances in thin film and bulk materials are reviewed, and obstacles impeding the commercialization of HTS materials are examined.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02471924
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  • 6
    Electronic Resource
    Electronic Resource
    Discrete Spectrum of Nonstationary Stochastic Processes on Groups (1998)
    Springer
    Journal of theoretical probability 11 (1998), S. 1111-1133 
    Details
    ISSN: 1572-9230
    Keywords: Asymptotically stationary process ; spectral measure ; almost periodic Fourier transform
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Vector-valued, asymptotically stationary stochastic processes on σ-compact locally compact abelian groups are studied. For such processes, we introduce a stationary spectral measure and show that it is discrete if and only if the asymptotically stationary covariance function is almost periodic. Using an “almost periodic Fourier transform” we recover the discrete part of the spectral measure and construct a natural, consistent estimator for the latter from samples of the process.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1022625117616
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  • 7
    Electronic Resource
    Electronic Resource
    A note on the composition and structure of interstellar grains (1983)
    Springer
    Astrophysics and space science 95 (1983), S. 175-178 
    Details
    ISSN: 1572-946X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Gürtleret al. (1981) argue that SiO could not be the material responsible for the interstellar 10 micron feature as had been proposed by Duleyet al. (1979). While Millar (1982) has quite successfully refuted the arguments of Gürtleret al. (1981), we present here some additional considerations which indicate that the model of Duleyet al. (1979) requires appreciable modification to be consistent with recent experimental results.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00661168
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  • 8
    Electronic Resource
    Electronic Resource
    Flag manifold quantum cohomology, the toda lattice, and the representation with highest weight ρ (1996)
    Springer
    Selecta mathematica 2 (1996), S. 43-91 
    Details
    ISSN: 1420-9020
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01587939
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  • 9
    Electronic Resource
    Electronic Resource
    On finitely generated soluble linear groups (1980)
    Springer
    Mathematische Zeitschrift 170 (1980), S. 155-167 
    Details
    ISSN: 1432-1823
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01214771
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  • 10
    Electronic Resource
    Electronic Resource
    Isometrien von Vektorräumen. II (1980)
    Springer
    Mathematische Zeitschrift 175 (1980), S. 5-20 
    Details
    ISSN: 1432-1823
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01161377
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