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  • 1
    Electronic Resource
    Electronic Resource
    Cascades of homoclinic orbits to, and chaos near, a Hamiltonian saddle-center (1992)
    Springer
    Journal of dynamics and differential equations 4 (1992), S. 95-126 
    Details
    ISSN: 1572-9222
    Keywords: Homoclinic orbit ; bifurcation ; reversible ; Hamiltonian ; saddle-center ; periodic orbit ; horseshoe ; Shil'nikov phenomena ; 34 C 25-28 ; 58 F 05 ; 58 F 14 ; 58 F 30
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We consider a class of reversible, two-degree of freedom Hamiltonian systems possessing homoclinic orbits to a saddle-center: an equilibrium having two non-zero real and two nonzero imaginary eigenvalues. Under mild nondegeneracy conditions, we construct a two-parameter unfolding and show that there is a countable infinity of “secondary” homoclinic bifurcations in any neighborhood of the original system. We also demonstrate the existence of families of periodic orbits and of shifts on two symbols (horseshoes). The lack of hyperbolicity and the presence of conserved quantities make the analysis somewhat delicate. We discuss specific examples for which the nondegeneracy conditions can be explicitly checked but indicate that this is not always possible. We illustrate our results with numerical work.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01048157
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Dispersal and predation in alien Acacia (1990)
    Springer
    Oecologia 83 (1990), S. 288-290 
    Details
    ISSN: 1432-1939
    Keywords: Ants ; Myrmecochory ; Rodents ; Acacia cyclops ; Acacia saligna
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Summary I investigated seed removal in the litter layer of alien Acacia stands at bimonthly intervals throughout one year. Both ants (dispersers) and rodents (predators) removed significant quantities of seeds and may compete for seeds in low density Acacia stands. Seed removal from depots was greatest prior to seed-fall (Sept.–Nov.) and lowest during seed-fall (Jan.–Mar.). As rodents may consume a large proportion of the annual seed production at low Acacia densities, I propose that ants have played a critical role in accumulating Acacia seed banks.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00317768
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    Paper (German National Licenses)
    Fulltext
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