17 citations · 58 across the 8 of their papers we have counts for
8 papers
Superwind and navigation of least time on Riemannian manifolds
Nicoleta Aldea, Piotr Kopacz
In this work, minimum-time navigation on Riemannian manifolds is analyzed by means of Finsler geometry. The introduced notion of a superwind being anisotropic, reducible, and unkno…
A general model for time-minimizing navigation on a mountain slope under gravity
Nicoleta Aldea, Piotr Kopacz
In this work, we solve the generalized Matsumoto's slope-of-a-mountain problem by means of Riemann-Finsler geometry, making close links with the Zermelo navigation problem. The tim…
Time geodesics on a slippery cross slope under gravitational wind
Nicoleta Aldea, Piotr Kopacz
In this work, we pose and solve the time-optimal navigation problem considered on a slippery mountain slope modeled by a Riemannian manifold of an arbitrary dimension, under the ac…
Generalized Zermelo navigation on Hermitian manifolds under mild wind
Nicoleta Aldea, Piotr Kopacz
We generalize and study the Zermelo navigation problem on Hermitian manifolds in the presence of a perturbation determined by a mild complex velocity vector field $||W(z)||_h<|…
A note on generalization of Zermelo navigation problem on Riemannian manifolds with strong perturbation
Piotr Kopacz
We generalize the Zermelo navigation problem and its solution on Riemannian manifolds admitting a space dependence of a ship's speed in the presence of a…
On generalization of Zermelo navigation problem on Riemannian manifolds
Piotr Kopacz
We generalize the Zermelo navigation problem and its solution on Riemannian manifolds admitting a space dependence of a ship's own speed in the presence of…
A note on time-optimal paths on perturbed spheroid
Piotr Kopacz
We consider the Zermelo navigation problem on the ellipsoid of revolution (spheroid) in the presence of a perturbation determined by a mild velocity vector field, , with…
Application of planar Randers geodesics with river-type perturbation in search models
Piotr Kopacz
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 Finsleri…