Journal
PHYSICAL REVIEW E
Volume 85, Issue 4, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.85.040901
Keywords
-
Categories
Funding
- EPSRC [EP/G026440/1]
- NSF [PHY05-51164]
- University of Bristol
- EPSRC [EP/G026440/1] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [EP/G026440/1] Funding Source: researchfish
Ask authors/readers for more resources
We introduce a generic model of a weakly nonlinear self-sustained oscillator as a simplified tool to study synchronization in a fluid at low Reynolds number. By averaging over the fast degrees of freedom, we examine the effect of hydrodynamic interactions on the slow dynamics of two oscillators and show that they can lead to synchronization. Furthermore, we find that synchronization is strongly enhanced when the oscillators are nonisochronous, which on the limit cycle means the oscillations have an amplitude-dependent frequency. Nonisochronity is determined by a nonlinear coupling alpha being nonzero. We find that its (alpha) sign determines if they synchronize in phase or antiphase. We then study an infinite array of oscillators in the long-wavelength limit, in the presence of noise. For alpha > 0, hydrodynamic interactions can lead to a homogeneous synchronized state. Numerical simulations for a finite number of oscillators confirm this and, when alpha < 0, show the propagation of waves, reminiscent of metachronal coordination.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available