Bifurcation of Self-Excited Vibrations for Parabolic Systems with Retarded Argument and Weak Diffusion


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Abstract

We prove the existence of periodic solutions of an autonomous parabolic system of differential equations with retarded argument and weak diffusion on a circle. The problems of existence and stability of traveling waves in the equation of spin combustion with delay are investigated.

About the authors

I. I. Klevchuk

Fed’kovych Chernivtsi National University

Email: Jade.Santos@springer.com
Ukraine, Kotsyubyns’kyi Str., 2, Chernivtsi, 58012

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