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  • Articles  (3)
  • Other Sources
  • Bifurcation  (3)
  • 1980-1984  (3)
  • Mathematics  (3)
  • Geography
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  • Articles  (3)
  • Other Sources
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  • 1980-1984  (3)
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  • 1
    Electronic Resource
    Electronic Resource
    A model of evolutionary appearance of dissipative structure in ecosystems (1983)
    Springer
    Journal of mathematical biology 18 (1983), S. 13-23 
    Details
    ISSN: 1432-1416
    Keywords: Ecosystem ; Evolution ; Autonomous oscillations ; issipative structure ; Bifurcation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract The interrelation between autonomous oscillations in local systems and stable dissipative structures in spatially distributed systems is analyzed. Darwinian evolution in populations comprising the ecosystem is shown to be able to cause the qualitative rearrangements of dynamic modes and smooth appearance of oscillations in local systems. The same evolutionary mechanisms analyzed within bilocal systems, may lead to appearance of dissipative structures (both smooth and sharp).
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00275907
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  • 2
    Electronic Resource
    Electronic Resource
    Hopf bifurcation in a stomatal oscillator (1982)
    Springer
    Journal of mathematical biology 12 (1982), S. 1-11 
    Details
    ISSN: 1432-1416
    Keywords: Bifurcation ; Stomata ; Oscillation ; Nonlinear dynamics
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract Stomata are microscopic openings in leaves of green plants which permit gas exchange. This paper presents a parameter study of a model of a stomatal oscillator first derived by Delwiche and Cooke in 1977. We prove the existence of an unstable limit cycle by using the theory of the Hopf bifurcation. Other bifurcations exhibited by the model are also discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00275199
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  • 3
    Electronic Resource
    Electronic Resource
    Bifurcations at a cusp singularity with applications (1984)
    Springer
    Acta applicandae mathematicae 2 (1984), S. 101-138 
    Details
    ISSN: 1572-9036
    Keywords: 58F ; 70K ; 92 ; Bifurcation ; vector field ; saddle-node singularity ; cusp singularity ; saddle connection ; normal form ; unfolding ; versal family ; population dynamics ; oscillators
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We consider families of vector fields which exhibit a cusp singularity for some values of the parameters. Algebraic conditions are obtained for these families to have versal properties. This enables the topologically distinct, structurally stable types of phase portrait which occur in the family near to the bifurcation point to be predicted. Applications of these results in population dynamics and oscillation theory are discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00046575
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    Paper (German National Licenses)
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