Spatial phase synchronisation of pistachio alternate bearing: Common-noise-induced synchronisation of coupled chaotic oscillators
Spatial phase synchronisation of pistachio alternate bearing: Common-noise-induced synchronisation of coupled chaotic oscillators
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开心果交替轴承的空间相位同步：耦合混沌振荡器的共同噪声引起的同步
DOI：
10.1016/j.chaos.2022.112764
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发表时间：
2022
期刊：
影响因子：
--
通讯作者：
Hastings, Alan
中科院分区：
文献类型：
--
作者：
Sakai, Kenshi;Brown, Patrick H.;Rosenstock, Todd S.;Upadhyaya, Shrinivasa K.;Hastings, Alan
混沌振子的集体动力学在包括农业和林业在内的许多领域都引起了相当大的关注。林木轮作是指丰产的一年后又是丰产的一年的现象。通常使用称为资源预算模型的帐篷图来研究这种现象。交替结果是由果园中树木之间强烈的同步性引起的，是果树生长中的一个主要问题。为了开发控制轮回结果的方法，必须了解果园中树木个体和群体水平上的同步化强度以及轮回结果的机制。本文对9562开心果(Pistacia veraL.)的产量数据进行了同相/反相分析。并揭示了果园中的相变和锁模现象。建立了一个由扩散耦合混沌振子组成的网络模型，在该模型上施加相同的共同噪声，从数学上证实了相变、锁模和1/3幂定律尺度的空间关联。此外，还阐明了共同噪声、直接耦合和种植系数梯度三个要素对果园空间同步性的解释方式。所提出的基于非线性动力学的方法将对果树、林业和生态系统管理具有一定的参考价值。
The collective dynamics of chaotic oscillators has drawn considerable attention in numerous fields, including agriculture and forestry. The alternate bearing of tree crops is a phenomenon in which a year of heavy yield is followed by a year of light yield. This phenomenon has been conventionally investigated using a tent map known as a resource budget model. Alternate fruiting is caused by strong synchronisation among trees in an orchard and is a major problem in fruit growing. To develop control methods for alternate fruiting, it is essential to understand the strength of synchronisation at the individual and population levels of trees in orchards and the mechanism of alternate fruiting. In this study, in-phase/out-of-phase analysis was applied to the yield data of a 9562 pistachio (Pistacia veraL.) population, and the phase transitions and mode-locking in the orchard were revealed. Using a developed network model consisting of diffusively coupled chaotic oscillators on which common noise was imposed identically, the phase transitions, mode-locking, and 1/3 power-law scaling spatial correlation were confirmed mathematically. Furthermore, the manner in which three essential factors, i.e. common noise, direct coupling, and the cropping coefficient gradient, explain the spatial synchrony of the orchard was elucidated. The proposed methodology based on nonlinear dynamics would be useful for pomology, forestry, and ecosystem management.
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