论文标题
具有乘法噪声的非自主随机反馈系统的随机周期性解决方案
Random periodic solutions of nonautonomous stochastic feedback systems with multiplicative noise
论文作者
论文摘要
我们研究了具有乘法噪声的非自主随机反馈系统的撤回轨迹的动力学行为。我们证明了该系统的随机周期性解决方案，并且所有倾斜轨迹都会收敛到该随机周期性解决方案，因为时间几乎肯定地肯定地流向了无限的。我们的结果可以应用于非自主的随机古德温负面反馈系统，非自主随机的Othmer-tyson积极反馈系统和非自主随机竞争系统等。
We investigate the dynamical behavior of pull-back trajectories for nonautonomous stochastic feedback systems with multiplicative noise. We proved that there exists a random periodic solution of this system and all pull-back trajectories converge to this random periodic solution as time goes to infinitely almost surely. Our results can be applied to nonautonomous stochastic Goodwin negative feedback system, nonautonomous stochastic Othmer-Tyson positive feedback system and nonautonomous stochastic competitive systems etc.
