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Using Couplings to Suppress Chaos and Produce a Population Stabilisation Strategy
Regular and Chaotic Dynamics ( IF 1.4 ) Pub Date : 2023-04-07 , DOI: 10.1134/s1560354723020041
Luís M. Lopes , Clara Grácio , Sara Fernandes , Danièle Fournier-Prunaret

The chaotic behaviour of dynamical systems can be suppressed if we couple them in some way. In order to do that, the coupling strengths must assume particular values. We illustrate it for the situation that leads to a fixed point behaviour, using two types of couplings corresponding either to a diffusive interaction or a migrative one. For both of them, we present strategies that easily calculate coupling strengths that suppress the chaotic behaviour. We analyse the particular situation of these couplings that consists in a symmetric one and we propose a strategy that provides the suppression of the chaotic evolution of a population.



中文翻译:

使用耦合抑制混沌并产生人口稳定策略

如果我们以某种方式耦合动力系统,则可以抑制它们的混沌行为。为此,耦合强度必须采用特定值。我们使用对应于扩散相互作用或迁移相互作用的两种类型的耦合来说明导致固定点行为的情况。对于他们两者,我们提出了可以轻松计算抑制混沌行为的耦合强度的策略。我们分析了这些包含在对称耦合中的耦合的特殊情况,我们提出了一种策略,可以抑制种群的混沌演化。

更新日期:2023-04-08
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