厄尔尼诺现象分数谷系统的混沌动力学
Chaotic dynamics of fractional Vallis system for El-Nino
摘要：
Vallis通过在Lorenz系统中增加一个参数p，提出了一个简单的El-Nino天气模型（简称Vallis系统）。他指出，瓦利斯系统的混沌行为与厄尔尼诺效应有关。本文深入研究分数阶Vallis系统。我们研究了分数阶Vallis系统中存在的分岔和混沌现象以及系统参数p变化的影响。据观察，Vallis系统是混沌的参数p的值的范围，随着分数阶的减少而减少。进一步分析了无公度分数阶Vallis系统，找到了系统失去混沌的临界值。我们还同步了Vallis系统和Bhalekar-Gejji系统。
英文摘要：
Vallis proposed a simple model for El-Nino weather phenomenon (referred as Vallis system) by adding an additional parameter p to the Lorenz system. He showed that the chaotic behavior of the Vallis system is related to the El-Nino effect. In the present article we study fractional version of Vallis system in depth. We investigate bifurcations and chaos present in the fractional Vallis system along with the effect of variation of system parameter p. It is observed that the range of values of parameter p for which the Vallis system is chaotic, reduces with the reduction of the fractional order. Further we analyze the incommensurate fractional Vallis system and find the critical value below which the system loses chaos. We also synchronize Vallis system with Bhalekar-Gejji system.
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