论文标题
干旱植物生态学的简化吉拉德 - 摩尔模型中的耗散局部结构之间的过渡
Transitions between dissipative localized structures in the simplified Gilad-Meron model for dryland plant ecology
论文作者
论文摘要
在许多生态系统中，在空间扩展模式和可能不同状态的多稳定性都是很常见的，并且它们的组合对其动力学行为具有重要影响。一种潜在的组合涉及图案状态和两个不同统一状态之间的可替代性。我们使用用于旱地生态系统的吉拉德 - 梅隆模型的简化版本，我们以分叉术语来研究组织在可替代方案中产生的局部结构。这些状态通常与波浪前锁定的概念有关，并以植被的斑点和间隙的形式出现。我们发现，在可替代的配置中，局部斑点和间隙的共存产生了混合状态的外观。我们还研究了时空局部状态的出现，这些状态由嵌入在均匀的HOPF样振荡背景中的周期性模式的一部分组成，以亚临界图型turing-hopf动力学状态。
Spatially extended patterns and multistability of possible different states is common in many ecosystems, and their combination has an important impact on their dynamical behaviours. One potential combination involves tristability between a patterned state and two different uniform states. Using a simplified version of the Gilad-Meron model for dryland ecosystems, we study the organization, in bifurcation terms, of the localized structures arising in tristable regimes. These states are generally related with the concept of wave front locking, and appear in the form of spots and gaps of vegetation. We find that the coexistence of localized spots and gaps, within tristable configurations, yield the appearance of hybrid states. We also study the emergence of spatiotemporal localized states consisting in a portion of a periodic pattern embedded in a uniform Hopf-like oscillatory background in a subcritical Turing-Hopf dynamical regime.
