Tunable bimodal explorations of space from memory-driven deterministic dynamics
Hubert M, Perrard S, Labousse M, Vandewalle N, Couder Y (2019)
Publication Type: Journal article
Publication year: 2019
Journal
Book Volume: 100
Journal Issue: 3
DOI: 10.1103/PhysRevE.100.032201
Abstract
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.
Authors with CRIS profile
Involved external institutions
National Center for Scientific Research / Centre national de la recherche scientifique (CNRS)
France (FR)
PSL Research University / Université de recherche Paris Sciences et Lettres
France (FR)
University of Paris 7 - Denis Diderot / Université Paris VII Denis Diderot
France (FR)
University of Liège (ULg) / Université de Liège
Belgium (BE)
France (FR)
PSL Research University / Université de recherche Paris Sciences et Lettres
France (FR)
University of Paris 7 - Denis Diderot / Université Paris VII Denis Diderot
France (FR)
University of Liège (ULg) / Université de Liège
Belgium (BE)
How to cite
APA:
Hubert, M., Perrard, S., Labousse, M., Vandewalle, N., & Couder, Y. (2019). Tunable bimodal explorations of space from memory-driven deterministic dynamics. Physical Review E, 100(3). https://dx.doi.org/10.1103/PhysRevE.100.032201
MLA:
Hubert, Maxime, et al. "Tunable bimodal explorations of space from memory-driven deterministic dynamics." Physical Review E 100.3 (2019).
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