Nonlinear systems possess complex dynamic behaviors and transition characteristics among various states, which make the behaviors of nonlinear systems hard to predict and control. Here we study state transfer in a nonlinear cavity magnonic system containing the photon and magnon Kerr effects. In this system, the magnon frequency shift exhibits bistability and tristability with coexisting stable states. A given initial state is transferred to one of the coexisting states. Although state transfer is shown from the perspective of the number of excited magnons, which is proportional to the magnon frequency shift, the coexisting state to which the initial state is transferred is determined jointly by the amplitude and phase of the magnon and photon, rather than by the number of excited magnons. Based on the basins of attraction, we explain state transfer and reveal its nonlinear feature. Our findings provide a deeper comprehension of complex dynamic behaviors and contribute to the exploration of effective methods and strategies for controlling different states in a nonlinear cavity magnonic system.

中文翻译：

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非线性腔磁力系统中的状态转移

非线性系统具有复杂的动态行为和各种状态之间的过渡特性，这使得非线性系统的行为难以预测和控制。在这里，我们研究包含光子和磁振子克尔效应的非线性腔磁子系统中的状态转移。在该系统中，磁振子频移表现出双稳态和三稳态并存的稳定状态。给定的初始状态转移到共存状态之一。虽然状态转移是从受激磁振子数量的角度来表现的，其与磁振子频移成正比，但初始态转移到的共存态是由磁振子和光子的振幅和相位共同决定的，而不是由磁振子和光子的振幅和相位共同决定的。通过激发磁振子的数量。基于吸引力盆地，我们解释了状态转移并揭示了其非线性特征。我们的研究结果提供了对复杂动态行为的更深入理解，并有助于探索控制非线性腔磁振子系统中不同状态的有效方法和策略。