Trapping of swimmers in a vortex lattice

DOI10.1063/5.0005542zbMath1480.76173arXiv2002.09569OpenAlexW3104281321WikidataQ96949197 ScholiaQ96949197MaRDI QIDQ5119455

Simon A. Berman, Kevin A. Mitchell

Publication date: 4 September 2020

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.09569

zbMATH Keywords

bifurcationstable orbitellipsoidal swimmermotility-induced diffusionsteady periodic vortex flowswimmer trapping probability

Mathematics Subject Classification ID

Diffusion (76R50) Particle methods and lattice-gas methods (76M28) Transport processes in time-dependent statistical mechanics (82C70) Hydrodynamic stability (76E99) Biopropulsion in water and in air (76Z10) Mathematical modeling or simulation for problems pertaining to fluid mechanics (76-10)

Related Items (1)

Topological dynamics of volume-preserving maps without an equatorial heteroclinic curve

Cites Work

• Time-reversal symmetry in dynamical systems: a survey
• The finite-dimensional reversible KAM theory
• Greene's residue criterion for the breakup of invariant tori of volume-preserving maps
• Sharp asymptotic growth laws of turbulent flame speeds in cellular flows by inviscid Hamilton-Jacobi models
• Invariant manifolds and the geometry of front propagation in fluid flows
• Thin front propagation in steady and unsteady cellular flows
• Theory of Index for Dynamical Systems of Order Higher Than Two

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