Geodesic
On a Mathematical Model of Biological Self-Organization
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Optimal control and differential equations, Tome 304 (2019), pp. 174-204

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A system of two generalized Hutchinson's equations coupled by linear diffusion terms is considered. It is established that for an appropriate choice of parameters, the system has a stable relaxation cycle whose components turn into each other under a certain phase shift. A number of additional properties of this cycle are presented that allow one to interpret it as a self-organization mode. 
@article{TM_2019_304_a11,
     author = {A. Yu. Kolesov and N. Kh. Rozov and V. A. Sadovnichii},
     title = {On a {Mathematical} {Model} of {Biological} {Self-Organization}},
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     url = {http://geodesic.mathdoc.fr/item/TM_2019_304_a11/}
}
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A. Yu. Kolesov; N. Kh. Rozov; V. A. Sadovnichii. On a Mathematical Model of Biological Self-Organization. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Optimal control and differential equations, Tome 304 (2019), pp. 174-204. http://geodesic.mathdoc.fr/item/TM_2019_304_a11/