Application of planar Randers geodesics with river-type perturbation in search models

Abstract

We consider remodeling the planar search patterns, in the presence of the river-type perturbation represented by the weak vector field, basing on the time-optimal paths as Finslerian solutions to the Zermelo navigation problem via Randers metric.

27 pages, 29 figures

References in corpus (4)

• Solution to the quantum Zermelo navigation problem
• Generalized Zermelo navigation on Hermitian manifolds under mild wind
• A note on time-optimal paths on perturbed spheroid
• A note on generalization of Zermelo navigation problem on Riemannian manifolds with strong perturbation

Cited by in corpus (4)

• Generalized Zermelo navigation on Hermitian manifolds under mild wind
• On generalization of Zermelo navigation problem on Riemannian manifolds
• A note on generalization of Zermelo navigation problem on Riemannian manifolds with strong perturbation
• Mathematical modeling the wildfire propagation in a Randers space