脉冲星自旋下降速率中混沌行为的证据
Evidence for chaotic behaviour in pulsar spin-down rates
摘要：
我们提出的证据，混沌动力学内的自旋下降率的17个histars最初提出的莱恩等人。使用的技术，使我们能够重新采样的原始测量，而不会丢失结构信息，我们已经搜索的证据，一个奇异吸引子的频率导数的时间序列中的每一个17 histars。我们证明了我们的方法的有效性，通过将它们应用到一个组件的洛伦兹和罗斯勒吸引子，以类似的节奏采样的脉冲星时间序列。我们的关联维数和李雅普诺夫指数的测量表明，潜在的行为似乎是由一个奇异吸引子驱动，约三个非线性微分方程。这在PSR B1828 $-$ 11的情况下尤其明显，其中测量到的相关维数为2.06 \pm 0.03，李雅普诺夫指数为$(4.0\pm0.3)\times10^{-4}$倒数天数。这些结果为测试这种行为的未来模型提供了额外的诊断。
英文摘要：
We present evidence for chaotic dynamics within the spin-down rates of 17 pulsars originally presented by Lyne et al. Using techniques that allow us to re-sample the original measurements without losing structural information, we have searched for evidence of a strange attractor in the time series of frequency derivatives for each of the 17 pulsars. We demonstrate the effectiveness of our methods by applying them to a component of the Lorenz and Rössler attractors that were sampled with similar cadence to the pulsar time series. Our measurements of correlation dimension and Lyapunov exponent show that the underlying behaviour appears to be driven by a strange attractor with approximately three governing non-linear differential equations. This is particularly apparent in the case of PSR B1828$-$11 where a correlation dimension of 2.06\pm0.03 and a Lyapunov exponent of $(4.0\pm0.3)\times10^{-4}$ inverse days were measured. These results provide an additional diagnostic for testing future models of this behaviour.
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