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Bifurcation of the state of equilibrium in the system of nonlinear parabolic equations with transformed argument

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Abstract

We consider a system of nonlinear parabolic equations with transformed argument and prove the existence of integral manifolds. We investigate the bifurcation of an invariant torus from the state of equilibrium.

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Authors
  1. I. I. Klevchuk
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Additional information

Chernovtsy University, Chernovtsy. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 10, pp. 1342–1351, October, 1999.

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Klevchuk, I.I. Bifurcation of the state of equilibrium in the system of nonlinear parabolic equations with transformed argument. Ukr Math J 51, 1512–1524 (1999). https://doi.org/10.1007/BF02981684

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  • DOI: https://doi.org/10.1007/BF02981684

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