论文标题
使用非平滑动力学系统理论对定期强制PP04气候模型的分析
An analysis of the periodically forced PP04 climate model, using the theory of non-smooth dynamical systems
论文作者
论文摘要
在本文中，我们对强制性PP04模型进行了仔细的分析，以实现气候变化，特别是冰期的行为。该系统通过突然释放出二氧化碳进入大气中的海洋碳中的过渡到冰川间状态。该过程可以用Filippov动力学系统施放，其动力学与二氧化碳释放相关的动力学发生了不连续的变化。通过使用非平滑动力学系统理论中的技术，我们在没有死亡强迫和周期性失去强迫的情况下对该模型进行了分析。这揭示了PP04模型解决方案的丰富而新颖的动力结构。特别是，我们看到与存在的微妙区域同步的周期性解决方案，这些解决方案取决于强迫的幅度和频率。轨道可以在平滑和不连续的诱导分叉中创建/破坏。我们研究它们之间的轨道及其之间的过渡，并与实际的气候动态进行比较。
In this paper we perform a careful analysis of the forced PP04 model for climate change, in particular the behaviour of the ice-ages. This system models the transition from a glacial to an inter-glacial state through a sudden release of oceanic Carbon Dioxide into the atmosphere. This process can be cast in terms of a Filippov dynamical system, with a discontinuous change in its dynamics related to the Carbon Dioxide release. By using techniques from the theory of non-smooth dynamical systems, we give an analysis of this model in the cases of both no insolation forcing and also periodic insolation forcing. This reveals a rich, and novel, dynamical structure to the solutions of the PP04 model. In particular we see synchronised periodic solutions with subtle regions of existence which depend on the amplitude and frequency of the forcing. The orbits can be created/destroyed in both smooth and discontinuity induced bifurcations. We study both the orbits and the transitions between them and make comparisons with actual climate dynamics.
