Analytical and numerical techniques for research of bifurcation processes in an electrical circuit with a laser-arc discharge

V. Sydorets, O. Bushma
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Abstract

Special techniques have been developed and bifurcation processes in nonlinear circuit with laser-arc discharge and inertial feedback was investigated. It was found that Hopf bifurcation can be both supercritical and subcritical. The boundary between the two types of bifurcation has been found. The interaction of Hopf bifurcation with other ones (the bifurcation of the twin limit cycle and bifurcation of saddle separatrix) was described.
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激光电弧放电电路分岔过程的分析与数值研究
研究了激光电弧放电和惯性反馈非线性电路的分岔过程。发现Hopf分岔可以是超临界的,也可以是亚临界的。找到了两种分岔的边界。描述了Hopf分岔与其他分岔(孪生极限环分岔和鞍分离矩阵分岔)的相互作用。
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