从记忆驱动的确定性动力学对空间的可调双峰探索
Tunable bimodal explorations of space from memory-driven deterministic dynamics
摘要：
我们提出了一个波记忆驱动的系统，表现出间歇性的两个推进模式之间的切换在自由空间。该模型是基于一个点状粒子发射周期性圆柱形驻波。受到与局部波场梯度相关的力，粒子被推进，而波场存储粒子轨迹上的位置信息。对于长记忆，线性运动是不稳定的，我们观察到两个推进模式之间的不稳定的开关：线性运动和扩散运动。我们表明，双峰推进和随机方面的动态在很长一段时间内产生的Shil'nikov混沌。系统的存储器控制在每个阶段中花费的时间的分数。由此产生的双峰动态显示出与间歇性搜索策略的类比，这些策略通常在复杂性高得多的生命系统中观察到。
英文摘要：
We present a wave-memory driven system that exhibits intermittent switching between two propulsion modes in free space. The model is based on a point-like particle emitting periodically cylindrical standing waves. Submitted to a force related to the local wavefield gradient, the particle is propelled, while the wave field stores positional information on the particle trajectory. For long memory, the linear motion is unstable and we observe erratic switches between two propulsive modes : linear motion and diffusive motion. We show that the bimodal propulsion and the stochastic aspect of the dynamics at long time are generated by a Shil'nikov chaos. The memory of the system controls the fraction of time spent in each phase. The resulting bimodal dynamics shows analogies with intermittent search strategies usually observed in living systems of much higher complexity.
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