论文标题
双边嗅觉搜索和导航的动力学
The Dynamics of Bilateral Olfactory Search and Navigation
论文作者
论文摘要
动物使用气味浓度的立体采样来定位来源并遵循气味径。我们分析了双边模型的动力学，该动力学取决于左右传感器检测到的气味浓度之间的同时比较。通用模型由三个微分方程组成，用于平面和标题中的位置。当气味景观是无限的步道时，我们将动力学减少到平面系统的动力学系统，该系统的动力学仅具有两个固定点。使用可集成的近似（对于短传感器），我们估计吸引力的盆地。在径向对称的景观的情况下，我们可以再次将动力学减少到平面系统中，但是这种行为与多稳定性，隔离和限制周期相当丰富。就像在线性跟踪案例中一样，传感器短时也有一个基本的集成系统。在由多个斑点和步道段组成的气味景观中，我们发现了周期性和混乱的动力学，并表征了缝隙上的步道上的行为，并转弯。
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, then we reduce the dynamics to a planar system whose dynamics have 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 multi-stability, 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 that turn corners.
