2017
Том 69
№ 9

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

Klevchuk I. I.

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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.

English version (Springer): Ukrainian Mathematical Journal 51 (1999), no. 10, pp 1512-1524.

Citation Example: Klevchuk I. I. Bifurcation of the state of equilibrium in the system of nonlinear parabolic equations with transformed argument // Ukr. Mat. Zh. - 1999. - 51, № 10. - pp. 1342–1351.

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