The Dynamics of Bilateral Olfactory Search and Navigation
The Dynamics of Bilateral Olfactory Search and Navigation
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DOI：
10.1137/19m1265934
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发表时间：
2021-03-01
期刊：
影响因子：
10.2
通讯作者：
Ermentrout, Bard
中科院分区：
文献类型：
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作者：
Riman, Nour;Victor, Jonathan D.;Ermentrout, Bard
动物使用气味浓度的立体采样来定位来源和跟踪气味轨迹。我们分析了一个双边模型的动力学，该模型依赖于同时比较左、右传感器检测到的气味浓度。一般模型由平面位置和航向的三个微分方程组成。当气味景观是一个无限轨迹时，我们将动力学简化为一个只有两个固定点的平面系统。使用可积近似（对于短传感器），我们估计了吸引力的范围。在径向对称景观的情况下，我们再次可以将动力学简化为平面系统，但具有多稳定性，孤立体和极限环的行为更加丰富。在线性轨迹的情况下，也有一个潜在的可积系统，当传感器短。在由多个点和小径段组成的气味景观中，我们发现了周期性和混沌动力学，并描述了有间隙和转弯的小径上的行为。
Animals use stereo sampling of odor concentration to localize sources and follow odor trails. We analyze the dynamics of a bilateral model that depends on the simultaneous comparison between odor concentrations detected by left and right sensors. The general model consists of three differential equations for the positions in the plane and the heading. When the odor landscape is an infinite trail, we reduce the dynamics to a planar system whose dynamics has just two fixed points. Using an integrable approximation (for short sensors) we estimate the basin of attraction. In the case of a radially symmetric landscape, we again can reduce the dynamics to a planar system, but the behavior is considerably richer with multistability, isolas, and limit cycles. As in the linear trail case, there is also an underlying integrable system when the sensors are short. In odor landscapes that consist of multiple spots and trail segments, we find periodic and chaotic dynamics and characterize the behavior on trails with gaps and trails that turn corners.