Abstract
The local dynamics of the solution of spatially distributed logistic equations are studied. It is shown that critical cases in the problem of equilibrium stability have infinite dimension. New bifurcation phenomena that only arise in the case of a two-dimensional spatial variable are revealed.
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Original Russian Text © I.S. Kashchenko, 2013, published in Modelirovanie i Analiz Informatsionnykh Sistem, 2013, No. 3, pp. 29–41.
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Kashchenko, I.S. Spatial properties of high-mode bifurcations of distributed logistic equations. Aut. Control Comp. Sci. 47, 516–525 (2013). https://doi.org/10.3103/S0146411613070080
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DOI: https://doi.org/10.3103/S0146411613070080