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  • 1
    ISSN: 1573-5052
    Keywords: Aldabra ; Atoll ; Markovian model ; Succession ; Tortolse grazing
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Abstract The process of succession after release from grazing by giant tortoises was investigated in three different vegetation types on Aldabra atoll. After four years there was very little change in two vegetation types: a tall mixed scrubland and an open single-species grassland. Probably in the former case grazing had no effect and in the latter case soil nutrients were limiting sward growth and establishment. In the third vegetation type, a patchwork of scrub and low vegetation, analysis of transition matrices showed that the succession was non-independent, non-stationary and depended on more than one past state (high order). This succession was extrapolated by simulation. The results suggested that other vegetation types studied were discrete associations, not merely different stages in the same grazing-mediated sere. The transition matrix approach proved useful in helping to generate initial hypotheses, but became too cumbersome for a realistic model of this succession. An experimental approach will be better for dealing with problems identified from the transition models. We are extremely grateful to the staff of the Seychelles Islands Foundation and of their Aldabra Research Station for permission to work on the island and for their assistance in the field.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Acta applicandae mathematicae 24 (1991), S. 233-251 
    ISSN: 1572-9036
    Keywords: 70B10 ; Kinematics ; invariants ; screws
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Let E(n) be the lie group of proper rigid motions of Euclidean n-space. The paper is concerned with the adjoint action of E(n) on its Lie algebra e(n), and the induced action on the Grassmannian of subspaces of e(n) of a given dimension. For the adjoint action, the authors list explicit generators for the ring of invariant polynomials. In the case n=3, of greatest physical interest, explicit finite invariant stratifications are given for the Grassmannians, providing a formal listing of the screw-systems familiar in theoretical kinematics.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Acta applicandae mathematicae 32 (1993), S. 267-296 
    ISSN: 1572-9036
    Keywords: 70B10 ; Screw ; kinematics
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract LetE(3) be the Lie group of proper rigid motions of Euclidean 3-space. The adjoint action ofE(3) on its Lie algebrae(3) induces an action on the Grassmannian of subspaces of given dimensiond. Projectively, these subspaces are the screw systems of classical kinematics. The authors show that existing classifications of screw systems give rise to Whitney regular stratifications of the Grassmannians, and establish diagrams of specialisations for the strata. A list is given of the screw systems which can appear generically for motions of 3-space with at most three degrees of freedom.
    Type of Medium: Electronic Resource
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