Geodesic
Discrete autowaves in systems of delay differential--difference equations in ecology
Informatics and Automation, Mathematical control theory and differential equations, Tome 277 (2012), pp. 101-143

Voir la notice de l'article provenant de la source Math-Net.Ru

We propose a theory of relaxation oscillations for a nonlinear scalar delay differential-difference equation that represents a modification of the well-known Hutchinson equation in ecology. In particular, we establish that a one-dimensional chain of diffusively coupled equations of this type exhibits the well-known buffer phenomenon. Namely, under an increase in the number of links in the chain and a consistent decrease in the coupling constant, the number of coexisting stable periodic motions indefinitely increases. 
@article{TRSPY_2012_277_a7,
     author = {A. Yu. Kolesov and N. Kh. Rozov},
     title = {Discrete autowaves in systems of delay differential--difference equations in ecology},
     journal = {Informatics and Automation},
     pages = {101--143},
     publisher = {mathdoc},
     volume = {277},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2012_277_a7/}
}
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A. Yu. Kolesov; N. Kh. Rozov. Discrete autowaves in systems of delay differential--difference equations in ecology. Informatics and Automation, Mathematical control theory and differential equations, Tome 277 (2012), pp. 101-143. http://geodesic.mathdoc.fr/item/TRSPY_2012_277_a7/