Isostables for Stochastic Oscillators
Isostables for Stochastic Oscillators
复制标题
随机振荡器的等稳态
DOI：
10.1103/physrevlett.127.254101
复制
发表时间：
2021
影响因子：
8.6
通讯作者：
Thomas, Peter J.
中科院分区：
文献类型：
--
作者：
Pérez-Cervera, Alberto;Lindner, Benjamin;Thomas, Peter J.
托马斯和林德纳[P. J.托马斯和B。Lindner，Phys. Rev. 113，254101（2014）. PRLTAO 0031 -900710.1103/PhysRevLett.113.254101]，将随机振荡器的渐近相位定义为由后向Kolmogorov（或随机Koopman）算子的本征函数在复平面中形成的角度，该本征函数具有最小负真实的部分的复本征值。通过定义具有最小负非平凡真实的本征值的本征函数作为随机等稳坐标，我们完成了有噪声振子的相位-振幅描述。我们的研究结果提出了一个框架，随机极限环动力学，包括噪声引起的振荡。
Thomas and Lindner [P. J. Thomas and B. Lindner, Phys. Rev. Lett. 113, 254101 (2014).PRLTAO0031-900710.1103/PhysRevLett.113.254101], defined an asymptotic phase for stochastic oscillators as the angle in the complex plane made by the eigenfunction, having a complex eigenvalue with a least negative real part, of the backward Kolmogorov (or stochastic Koopman) operator. We complete the phase-amplitude description of noisy oscillators by defining the stochastic isostable coordinate as the eigenfunction with the least negative nontrivial real eigenvalue. Our results suggest a framework for stochastic limit cycle dynamics that encompasses noise-induced oscillations.