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  • Springer  (55)
  • 1980-1984  (39)
  • 1970-1974  (16)
  • 1
    Electronic Resource
    Electronic Resource
    A fit to nerve membrane rectification curves with a double-dipole-layer membrane model (1972)
    Springer
    Bulletin of mathematical biology 34 (1972), S. 151-172 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract Following Wei's suggestion that nerve stimulation and conduction properties are due to dipole layers at the two membrane surfaces (Wei, 1969), we have done steady-state electro-diffusion calculations in the constant field approximation for a simple double-dipole-layer model. We are thereby able to quantitatively fit the recent potassium iso-osmotic rectification curves of Gilbert and Ehrenstein for the squid giant axon membrane. For the squid axon membrane in a natural ion environment, only the outside dipole layer is present in the fit to the data.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02476514
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  • 2
    Electronic Resource
    Electronic Resource
    Electrically induced phase transitions via the dipole model in excitable membranes (1974)
    Springer
    Bulletin of mathematical biology 36 (1974), S. 17-28 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract Calculations based upon the membrane dipole model have been carried out and indicate the possibility of cooperative behavior during the membrane excitation process. An explicit expression is obtained for the critical electric field,E, which must be present to initiate the cooperative structural transition assumed to occur during membrane excitation. An hypothesis concerning the occurrence of two distinct phase transitions in the membrane resulting in the rapid influx of sodium ions and sodium ion inactivation, respectively, is presented.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02461187
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  • 3
    Electronic Resource
    Electronic Resource
    The effects on joint losses of tolerances in some geometrical parameters of optical fibres (1981)
    Springer
    Optical and quantum electronics 13 (1981), S. 11-18 
    Details
    ISSN: 1572-817X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology , Physics
    Notes: Abstract Among the many possible contributions to joint or splice loss in an optical fibre system are those attributable to the manufacturing tolerances of the fibres themselves. This paper predicts, from a probability approach, the likely effect of errors in the cladding surface diameter, the circularity of this surface and the concentricity of core and cladding. It is shown that, for one representative set of excitation conditions, the tolerances proposed in a draft CCITT recommendation lead to a mean joint loss of 0.043 dB with a standard deviation of 0.045 dB. The loss exceeds 0.33 dB with a probability of 0.001.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00620026
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  • 4
    Electronic Resource
    Electronic Resource
    The uniform, regular differential equations of the KS transformed perturbed two-body problem (1974)
    Springer
    Celestial mechanics and dynamical astronomy 10 (1974), S. 303-318 
    Details
    ISSN: 1572-9478
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The Newtonian differential equations of motion for the two-body problem can be transformed into four, linear, harmonic oscillator equations by simultaneously applying the regularizing time transformation dt/ds=r and the Kustaanheimo-Stiefel (KS) coordinate transformation. The time transformation changes the independent variable from time to a new variables, and the KS transformation transforms the position and velocity vectors from Cartesian space into a four-dimensional space. This paper presents the derivation of uniform, regular equations for the perturbed twobody problem in the four-dimensional space. The variation of parameters technique is used to develop expressions for the derivatives of ten elements (which are constants in the unperturbed motion) for the general case that includes both perturbations which can arise from a potential and perturbations which cannot be derived from a potential. These element differential equations are slightly modified by introducing two additional elements for the time to further improve long term stability of numerical integration.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01586860
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  • 5
    Electronic Resource
    Electronic Resource
    Transformations of the perturbed two-body problem to unperturbed harmonic oscillators (1983)
    Springer
    Celestial mechanics and dynamical astronomy 30 (1983), S. 59-69 
    Details
    ISSN: 1572-9478
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Transformations are given which change the perturbed planar problem of two bodies into unperturbed and undamped harmonic oscillators with constant coefficients. The orginally singular, nonlinear and Lyapunov unstable equations become in this way regular, linear, and the stable solution may be written down immediately in terms of the new variables. Transformations of the independent and dependent variables are treated separately as well as jointly. Using arbitrary and special functions for the transformations allows a systematic discussion of previously introduced and new anomalies. For the unperturbed two-body problem the theorem is proved according to which if the transformations are power-functions of the radial variable, then only the eccentric and the true anomalies with the corresponding transformations of the radial variable will result in harmonic oscillators. Important practical applications are to increase autonomous operations in space, since by replacing lengthy numerical integrations by transformations, computer requirements are significantly reduced.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01231102
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  • 6
    Electronic Resource
    Electronic Resource
    Analytical satelite theory in extended phase space (1980)
    Springer
    Celestial mechanics and dynamical astronomy 21 (1980), S. 357-360 
    Details
    ISSN: 1572-9478
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract In the present note we show how a simple canonical transformation in extended phase space makes the transition from classical Delaunay elements to the Scheifele variables. We do not use spherical coordinates or Hamilton-Jacobi theory. The meaning of the new variables is briefly explained, especially the use of the true anomaly as one of the variables.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01231274
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  • 7
    Electronic Resource
    Electronic Resource
    Canonical orbital elements in terms of an arbitrary independent variable (1981)
    Springer
    Celestial mechanics and dynamical astronomy 23 (1981), S. 159-172 
    Details
    ISSN: 1572-9478
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Within the framework of the Hamiltonian mechanics in the extended phase space, a set of canonical elements of the Delaunay type is developed in terms of an arbitrary independent angular variable. Application to the four classical anomalies-eccentric, true, elliptic, and mean-is presented. Particular attention is given to the generalized time equation and its conjugate energy equation.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01229551
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  • 8
    Electronic Resource
    Electronic Resource
    Error propagation in the numerical solutions of the differential equations of orbital mechanics (1982)
    Springer
    Celestial mechanics and dynamical astronomy 27 (1982), S. 65-77 
    Details
    ISSN: 1572-9478
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The relationship between the eigen values of the linearized differential equations of orbital mechanics and the stability characteristics of numerical methods is presented. It is shown that the Cowell, Encke, and Encke formulation with an independent variable related to the eccentric anomaly all have a real positive eigen value when linearized about the initial conditions. The real positive eigen value causes an amplification of the error of the solution when used in conjunction with a numerical integration method. In contrast an element formulation has zero eigen values and is numerically stable.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01228951
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  • 9
    Electronic Resource
    Electronic Resource
    Propagation of local errors in the solutions of the differential equations for orbital elements (1982)
    Springer
    Celestial mechanics and dynamical astronomy 27 (1982), S. 203-210 
    Details
    ISSN: 1572-9478
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The propagation of errors in the solutions of the differential equations for the orbital elements of perturbed two-body motion is investigated. It is shown that the error in the time-element grows linearly for differential equations for orbital elements when only perturbations are present on the right-hand side, cubically for formulations which have a two-body term on the right-hand side, and linearly for formulations based upon extended phase space Hamiltonians.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01271694
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  • 10
    Electronic Resource
    Electronic Resource
    Reaction asymmetries and the spin orbit interaction (1984)
    Springer
    The European physical journal 319 (1984), S. 57-59 
    Details
    ISSN: 1434-601X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The use of reaction asymmetries to deduce spin orbit interactions in heavy ion reactions is discussed. It is suggested that in most cases they are too sensitive to many other phenomena to be useful tools and reanalysis of some existing data demonstrates that large spin orbit interactions are not required to reproduce the observed asymmetries.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01429767
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