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arXiv · 1802.07694

Homoclinic Bifurcations of the Merging Strange Attractors in the Lorenz-like System

G. A. Leonov·R. N. Mokaev·N. V. Kuznetsov·T. N. Mokaev
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Abstract

In this article we construct the parameter region where the existence of a homoclinic orbit to a zero equilibrium state of saddle type in the Lorenz-like system will be analytically proved in the case of a nonnegative saddle value. Then, for a qualitative description of the different types of homoclinic bifurcations, a numerical analysis of the detected parameter region is carried out to discover several new interesting bifurcation scenarios.

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G. A. Leonov, R. N. Mokaev, N. V. Kuznetsov, T. N. Mokaev. 2018-02-21. Homoclinic Bifurcations of the Merging Strange Attractors in the Lorenz-like System. https://arxiv.org/abs/1802.07694

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