Planar Rotational Equilibria of Two Nonidentical Microswimmers

DOI10.1142/S021812742230021XzbMath1505.76136arXiv2209.05645OpenAlexW4288737818MaRDI QIDQ5094758

Andrey Pototsky, Sumesh P. Thampi, Prajitha Mottammal

Publication date: 4 August 2022

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.05645

zbMATH Keywords

method of imageslow-Reynolds-number flowtwo-dimensional perturbationstability diagramfour-dimensional phase spacereduced dynamical systemforce dipoleintrinsic self-propulsionstress-free liquid-gas interface

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Incompressible viscous fluids (76D99) Liquid-gas two-phase flows, bubbly flows (76T10) Hydrodynamic stability (76E99) Biopropulsion in water and in air (76Z10)

Uses Software

• AUTO
• HomCont
• Torcont

Cites Work

• Unnamed Item
• The long-time dynamics of two hydrodynamically-coupled swimming cells
• Occurrence of strange Axiom A attractors near quasi periodic flows on \(T^m\), \(m\geq 3\)
• Hydrodynamic interaction of two swimming model micro-organisms
• Period-Bubbling Transition to Chaos in Thermo-Viscoelastic Fluid Systems
• Organized structures of two bidirectionally coupled logistic maps
• An Introduction to Dynamical Systems and Chaos
• The stress system in a suspension of force-free particles
• Continuation of Quasi-periodic Invariant Tori

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