论文标题
具有高阶交互的振荡器网络中的内存选择和信息切换
Memory selection and information switching in oscillator networks with higher-order interactions
论文作者
论文摘要
我们研究具有高阶相互作用及其存储信息能力的耦合振荡器网络的动力学。特别是，这些振荡器系统的固定点由两个振荡器簇组成，它们在相反的阶段夹带，很容易地映射到更常见的信息，以0和1的序列表示。尽管$ N $振荡器的系统中存在此类固定点状态的$ 2^n $，但我们发现它们中的一小部分是稳定的，如网络拓扑所选择的那样。为了了解此类振荡器网络的内存选择，我们得出了一个稳定标准，可以精确识别哪些状态稳定，即网络支持哪些信息。我们还调查了当应用随机扰动可能迫使系统进入另一个稳定状态的吸引力的盆地时，系统可以在不同稳定状态之间进行切换的过程。
We study the dynamics of coupled oscillator networks with higher-order interactions and their ability to store information. In particular, the fixed points of these oscillator systems consist of two clusters of oscillators that become entrained at opposite phases, mapping easily to information more commonly represented by sequences of 0's and 1's. While $2^N$ such fixed point states exist in a system of $N$ oscillators, we find that a relatively small fraction of these are stable, as chosen by the network topology. To understand the memory selection of such oscillator networks, we derive a stability criterion to identify precisely which states are stable, i.e., which pieces of information are supported by the network. We also investigate the process by which the system can switch between different stable states when a random perturbation is applied that may force the system into the basin of attraction of another stable state.
