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arXiv · 2303.10726

A finding of the maximal saddle-node bifurcation for systems of differential equations

Yavdat Il'yasov
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Abstract

A variational method is presented for directly finding the bifurcation point of nonlinear equations as the saddle-node point of the extended nonlinear Rayleigh quotient. The method is applied for solving an open problem on the existence of a maximal saddle-node bifurcation point for set of positive solutions of system equations with convex-concave type nonlinearity.

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Yavdat Il'yasov. 2023-03-19. A finding of the maximal saddle-node bifurcation for systems of differential equations. https://arxiv.org/abs/2303.10726

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