The variability of stochastic dynamics for a three-dimensional dynamic model in a parametric zone with 2-tori is investigated. It is shown how weak Gaussian noise transforms deterministic quasiperiodic oscillations into noisy bursting. The phenomenon of stochastic generation of a phantom attractor and its shift with noise amplification is revealed. This phenomenon, accompanied by order-chaos transitions, is studied in terms of stochastic [Formula: see text]- and [Formula: see text]-bifurcations.

中文翻译：

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带有 Tori 的 Langford 系统中的随机分岔、混沌和幻影吸引子

研究了具有 2-tori 参数区的三维动态模型的随机动力学的可变性。它显示了弱高斯噪声如何将确定性准周期振荡转换为噪声突发。揭示了幻象吸引子的随机生成及其随噪声放大的变化。这种伴随着有序-混沌转变的现象，是根据随机[公式：见文本]-和[公式：见文本]-分岔来研究的。