Bifurcation of cycles of parabolic systems with delay and small diffusion

Klevchuk Ivan

Klevchuk Ivan ¹

¹ Department of Mathematical Modeling, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine

Keywords: bifurcation of cycles, parabolic systems, small diffusion

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Abstract

We prove the existence of periodic solutions in autonomous parabolic system of differential equations with retarded argument and small diffusion on the circle. We consider the problem of the existence and stability of traveling waves. We obtain the bifurcation equations.

References

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Cite

ACS Style: Klevchuk, I. Bifurcation of cycles of parabolic systems with delay and small diffusion. Bukovinian Mathematical Journal. 2016, 3
AMA Style: Klevchuk I. Bifurcation of cycles of parabolic systems with delay and small diffusion. Bukovinian Mathematical Journal. 2016; 3(2).
Chicago/Turabian Style: Ivan Klevchuk. 2016. "Bifurcation of cycles of parabolic systems with delay and small diffusion". Bukovinian Mathematical Journal. 3 no. 2.

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