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

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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.

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Authors and Affiliations

  1. Fed’kovych Chernivtsi National University, Kotsyubyns’kyi Str., 2, Chernivtsi, 58012, Ukraine

    I. I. Klevchuk

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  1. I. I. Klevchuk
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Translated from Neliniini Kolyvannya, Vol. 19, No. 3, pp. 390–398, July–September, 2016.

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Klevchuk, I.I. Bifurcation of Self-Excited Vibrations for Parabolic Systems with Retarded Argument and Weak Diffusion. J Math Sci 226, 285–295 (2017). https://doi.org/10.1007/s10958-017-3534-x

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  • DOI: https://doi.org/10.1007/s10958-017-3534-x

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