论文标题
lyapunov正常形式为正常形式，并带有添加噪声
Positive Lyapunov Exponent in the Hopf Normal Form with Additive Noise
论文作者
论文摘要
在足够强的剪切强度下，我们证明了lyapunov指数的正常形式的lyapunov指数的阳性，并受到加性白噪声的影响。这为简化情况完成了一系列相关结果，我们可以通过研究剪切和噪声参数的适当限制来利用这些结果。严格使这种方法的关键技术成分是通过Furstenberg Khasminskii公式的连续性的结果。
We prove the positivity of Lyapunov exponents for the normal form of a Hopf bifurcation, perturbed by additive white noise, under sufficiently strong shear strength. This completes a series of related results for simplified situations which we can exploit by studying suitable limits of the shear and noise parameters. The crucial technical ingredient for making this approach rigorous is a result on the continuity of Lyapunov exponents via Furstenberg Khasminskii formulas.
