Tunable bimodal explorations of space from memory-driven deterministic dynamics

Propulsion; Stochastic systems; Bimodal dynamics; Diffusive motions; Living systems; Particle trajectories; Point-like particles; Positional information; Search strategies; System control; Dynamics

Abstract :

[en] We present a wave-memory-driven system that exhibits intermittent switching between two propulsion modes in free space. The model is based on a pointlike particle emitting periodically cylindrical standing waves. Submitted to a force related to the local wave-field 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. © 2019 American Physical Society.

Disciplines :

Physics

Author, co-author :

Hubert, Maxime

Perrard, S.; Laboratoire de Physique de l'Ens, CNRS UMR 8550 ENS, PSL University, Paris, 75005, France

Labousse, M.; Gulliver, CNRS UMR 7083, ESPCI Paris and PSL University, Paris, 75005, France

Vandewalle, Nicolas ; Université de Liège - ULiège > Département de physique > Physique statistique

Couder, Y.; Matière et Systèmes Complexes, CNRS UMR 7057, Université Paris Diderot, Sorbonne Paris Cité, Paris, 75013, France

Language :

English

Title :

Tunable bimodal explorations of space from memory-driven deterministic dynamics

Publication date :

2019

Journal title :

Physical Review. E

ISSN :

2470-0045

eISSN :

2470-0053

Publisher :

American Physical Society

Volume :

100

Issue :

Peer reviewed :

Peer Reviewed verified by ORBi

Funders :

LabexAgence Nationale de la Recherche, ANR2.5020.11Division of Arctic Sciences, ARC12-17/02Fonds De La Recherche Scientifique - FNRS, FNRS

Available on ORBi :

since 18 December 2021

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