AI 中文总结
研究多稳态系统中转换路径问题，核心方法是考虑耗散耦合迟滞网络的动态加载并推导控制图，主要贡献是增强可达性、增加转换图连通性，通过实验验证框架且该框架适用于多领域双稳态元件网络。
AI 中文摘要
由相互作用的双稳态元件组成的系统通常由转换图描述，该图确定在外部驱动下哪些状态变化是可访问的。在准静态加载下，可达性受系统平衡结构的限制，通常导致稀疏的转换网络和不可达的稳定状态。在这里，我们表明，耗散耦合迟滞网络的动态加载通过启用准静态驱动下被禁止的转换路径来增强可达性，同时保留潜在的平衡状态。特别是，我们考虑脉冲驱动并推导了一个控制图，将脉冲幅度和持续时间与状态转换联系起来。对于合适的耗散耦合，单个迟滞元件可以使用单个标量输入独立寻址，增加转换图的连通性并能够访问否则无法到达的状态。我们使用气动迟滞元件通过实验验证了该框架，并发现与理论有很好的一致性。更一般地说，该框架适用于流体、机械和电气领域中双稳态元件的耗散耦合网络。
英文摘要
Systems composed of interacting bistable elements are commonly described by transition graphs that determine which state changes are accessible under an external drive. Under quasistatic loading, accessibility is constrained by the equilibrium structure of the system, often resulting in sparse transition networks and unreachable stable states. Here, we show that dynamic loading of dissipatively-coupled hysteron networks enhances accessibility by enabling transition pathways that are forbidden under quasistatic driving while preserving the underlying equilibrium states. In particular, we consider pulse actuation and derive a control map linking pulse amplitude and duration to state transitions. For suitable dissipative couplings, individual hysterons become independently addressable using a single scalar input, increasing transition-graph connectivity and enabling access to otherwise unreachable states. We validate the framework experimentally using pneumatic hysterons and find good agreement with theory. More generally, the framework applies to dissipatively coupled networks of bistable elements across fluidic, mechanical, and electrical domains.
