17 citations · 63 across the 15 of their papers we have counts for
4 papers · 2 filters
The role of symmetry and dissipation in biolocomotion
Jaap Eldering, Henry O. Jacobs
In this paper we illustrate the potential role which relative limit cycles may play in biolocomotion. We do this by describing, in great detail, an elementary example of reduction…
Fluid-structure interaction in the Lagrange-Poincare formalism: the Navier-Stokes and inviscid regimes
Henry O. Jacobs, Joris Vankerschaver
In this paper, we derive the equations of motion for an elastic body interacting with a perfect fluid via the framework of Lagrange-Poincare reduction. We model the combined fluid-…
Swimming as a limit cycle
Henry O. Jacobs
Steady swimming can be characterized as both periodic and stable. These characteristics are the very definition of limit cycles, and so we ask "Can we view swimming as a limit cycl…
On the coupling between an ideal fluid and immersed particles
Henry O. Jacobs, Tudor S. Ratiu, Mathieu Desbrun
In this paper we use Lagrange-Poincare reduction to understand the coupling between a fluid and a set of Lagrangian particles that are supposed to simulate it. In particular, we re…