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Guaranteed estimates for the length of branches of periodic orbits for equivariant Hopf bifurcation

Autor: Hooton, E., Balanov, Z., Rachinskii, D.

Connected branches of periodic orbits originating at a Hopf bifurcation point of a differential system are considered. A computable estimate for the range of amplitudes of periodic orbits contained in the branch is provided under the assumption that

Externí odkaz: http://arxiv.org/abs/2002.03457

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Patterns of Non-Radial Solutions to Coupled Semilinear Elliptic Systems on a Disc

Autor: Balanov, Z., Hooton, E., Krawcewicz, W., Rachinskii, D.

In this paper, we prove the existence of non-radial solutions to the problem $-\triangle u=f(z,u)$, $u|_{\partial D}=0$ on the unit disc $D:=\{z\in \mathbb C : |z|<1\}$ with $u(z)\in \mathbb R^k$, where $f$ is a sub-linear continuous function, differ

Externí odkaz: http://arxiv.org/abs/2002.03462

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Sliding Hopf bifurcation in interval systems

Autor: Hooton, E., Balanov, Z., Krawcewicz, W., Rachinskii, D.

In this paper, the equivariant degree theory is used to analyze the occurrence of the Hopf bifurcation under effectively verifiable mild conditions. We combine the abstract result with standard interval polynomial techniques based on Kharitonov's the

Externí odkaz: http://arxiv.org/abs/1507.08596

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