War and peace, spanning history, deeply affect society, economy, and individuals. Grasping their dynamics is vital to lessen harm and foster global peace. Yet, quantifying them remains hard. Our goal is to create a simple qualitative model using landscape and flux theory, exploring war and peace mechanisms. In this symmetric network, they appear as separate attraction basins, dynamically shifting. Analyzing landscape shape gives insights into global stability. Near critical points, indicators like cross correlations, autocorrelation times, and flickering frequency surge, as warnings. We also calculate the irreversible path between war and peace due to rotational flux. Global sensitivity analysis identifies history's role in system stability. In summary, our research unveils a way to understand war and peace complexities, enhancing knowledge of key elements that lead to conflict, aiding resolution.

中文翻译：

---

通过景观和通量量化提供战争与和平的预警指标

战争与和平跨越历史，深刻影响着社会、经济和个人。掌握它们的动态对于减少伤害和促进全球和平至关重要。然而，量化它们仍然很困难。我们的目标是使用景观和通量理论创建一个简单的定性模型，探索战争与和平机制。在这个对称网络中，它们表现为独立的吸引盆地，动态变化。分析景观形状可以洞察全球稳定性。在接近临界点时，互相关、自相关时间和闪烁频率等指标会激增，作为警告。我们还计算了由于旋转通量而导致的战争与和平之间的不可逆转的路径。全局敏感性分析确定历史在系统稳定性中的作用。总之，我们的研究揭示了一种理解战争与和平复杂性的方法，增强对导致冲突的关键因素的了解，帮助解决冲突。