Change search
Refine search result
1 - 12 of 12
CiteExportLink to result list
Permanent link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Rows per page
  • 5
  • 10
  • 20
  • 50
  • 100
  • 250
Sort
  • Standard (Relevance)
  • Author A-Ö
  • Author Ö-A
  • Title A-Ö
  • Title Ö-A
  • Publication type A-Ö
  • Publication type Ö-A
  • Issued (Oldest first)
  • Issued (Newest first)
  • Created (Oldest first)
  • Created (Newest first)
  • Last updated (Oldest first)
  • Last updated (Newest first)
  • Disputation date (earliest first)
  • Disputation date (latest first)
  • Standard (Relevance)
  • Author A-Ö
  • Author Ö-A
  • Title A-Ö
  • Title Ö-A
  • Publication type A-Ö
  • Publication type Ö-A
  • Issued (Oldest first)
  • Issued (Newest first)
  • Created (Oldest first)
  • Created (Newest first)
  • Last updated (Oldest first)
  • Last updated (Newest first)
  • Disputation date (earliest first)
  • Disputation date (latest first)
Select
The maximal number of hits you can export is 250. When you want to export more records please use the Create feeds function.
  • 1. Eirola, Timo
    et al.
    Leonov, G.A.
    Söderbacka, Gunnar
    Rodjukov, F.F.
    Stability of mathematical models for systems of synchronous and asynchronous machines1996In: Technische Mechanik, ISSN 0232-3869, Vol. 16, no 3, p. 237-244Article in journal (Refereed)
    Download full text (pdf)
    FULLTEXT01
  • 2. Eirola, Timo
    et al.
    Osipov, Alexandr V.
    Söderbacka, Gunnar
    Chaotic regimes in a dynamical system of the type many predators - one prey1996Report (Other academic)
    Download full text (pdf)
    FULLTEXT01
  • 3.
    Gyllenberg, M.
    et al.
    Department of Mathematics, University of Turku.
    Osipov, A.V.
    Mathematics and Mechanics Faculty, St. Petersburg State University.
    Söderbacka, Gunnar
    Bifurcation analysis of a metapopulation model with sources and sinks1996In: Journal of nonlinear science, ISSN 0938-8974, E-ISSN 1432-1467, Vol. 6, no 4, p. 329-366Article in journal (Refereed)
    Abstract [en]

    A class of functions describing the Allee effect and local catastrophes in population dynamics is introduced and the behaviour of the resulting one-dimensional discrete dynamical system is investigated in detail. The main topic of the paper is a treatment of the two-dimensional system arising when an Allee function is coupled with a function describing the population decay in a so-called sink. New types of bifurcation phenomena are discovered and explained. The relevance of the results for metapopulation dynamics is discussed.

  • 4.
    Gyllenberg, Mats
    et al.
    Luleå tekniska universitet.
    Söderbacka, Gunnar
    Ericsson, Stefan
    Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
    Does migration stabilize local population dynamics?: Analysis of a discrete metapopulation model1993In: Mathematical Biosciences, ISSN 0025-5564, E-ISSN 1879-3134, Vol. 118, no 1, p. 25-49Article in journal (Refereed)
    Abstract [en]

    A discrete model for a metapopulation consisting of two local populations connected by migration is described and analyzed. It is assumed that the local populations grow according to the logistic law, that both populations have the same emigration rate, and that migrants choose their new habitat patch at random. Mathematically this leads to a coupled system of two logistic equations. A complete characterization of fixed point and two-periodic orbits is given, and a bifurcation analysis is performed. The region in the parameter plane where the diagonal is a global attractor is determined. In the symmetric case, where both populations have the same growth rate, the analysis is rigorous with complete proofs. In the nonsymmetric case, where the populations grow at different rates, the results are obtained numerically. The results are interpreted biologically. Particular attention is given to the sense in which migration has a stabilizing and synchronizing effect on local dynamics.

  • 5. Söderbacka, Gunnar
    On the structure of the boundary of an invariant set of a system of differential equations with non-transversal intersection of stable and unstable manifolds1993Doctoral thesis, comprehensive summary (Other academic)
  • 6. Söderbacka, Gunnar
    et al.
    Gyllenberg, Mats
    Osipov, A.V.
    Эффект сохранения аттрактора при двумерном возмущении1997In: Дифференциальные уравнения, Vol. 33, no 6, p. 859-850Article in journal (Refereed)
  • 7. Söderbacka, Gunnar
    et al.
    Leonov, G.A.
    Rodjukov, F.F.
    Joint work of two identical synchronous generators with common RL-load1997In: Technische Mechanik, ISSN 0232-3869, Vol. 17, no 1, p. 73-76Article in journal (Refereed)
  • 8. Söderbacka, Gunnar
    et al.
    Leonov, G.A.
    Smirnova, V.B.
    New types of Lyapunov functions for investigation of asymptotics of pendulum-like systems1998In: Differential Equations and Their Application: International Conference, 1998Conference paper (Refereed)
  • 9. Söderbacka, Gunnar
    et al.
    Rodjukov, F.F.
    On the behaviour of some models of electric machines1998In: II Царскосельские Чтения, Вишняковские чтения, Vol. 4, p. 113-114Article in journal (Refereed)
  • 10. Söderbacka, Gunnar
    et al.
    Rodjukov, F.F.
    The effect of resistance of lines of electric transmissions on the work of the system "synchronous generator"1997In: St Petersburg University Mechanics Bulletin, ISSN 0883-623X, no 3, p. 5-7Article in journal (Refereed)
    Abstract [en]

    It is shown that the resistance of supply line essentially affects the work of an asynchronous motor by abruptly decreasing its maximally possible moment on the rotor's axis. It does not practically affect the generator. Since the found critical resistance is comparatively small, it is necessary to take into account only if the supply line is sufficiently long.

  • 11. Söderbacka, Gunnar
    et al.
    Rodjukov, F.F.
    The effect of the resistance of lines of electric transmission on the stability of the synchronous motor1997In: St Petersburg University Mechanics Bulletin, ISSN 0883-623X, no 2, p. 31-33Article in journal (Refereed)
  • 12. Söderbacka, Gunnar
    et al.
    Rodjukov, F.F.
    The effect of the resistance of lines of electric transmission on the stability of the system "synchronous generator - synchronous motor"1997In: Technische Mechanik, ISSN 0232-3869, Vol. 17, no 3, p. 77-82Article in journal (Refereed)
1 - 12 of 12
CiteExportLink to result list
Permanent link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf