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nlin.CD2003★ 11 cited
Momentum Maps and Measure-valued Solutions (Peakons, Filaments and Sheets) for the EPDiff Equation
Darryl D. Holm, Jerrold E. Marsden
We study the dynamics of measure-valued solutions of what we call the EPDiff equations, standing for the {\it Euler-Poincaré equations associated with the diffeomorphism group (of…
nlin.CD2001
Dissipation induced Instabilities and the Mechanical Laser
Marcel G. Clerc, Jerrold E. Marsden
We study the 1:1 resonance for perturbed Hamiltonian systems with small dissipative and energy injection terms. These perturbations of the 1:1 resonance exhibit dissipation induced…
nlin.CD2001
An Optimal Control Formulation for Inviscid Incompressible Ideal Fluid Flow
A. M. Bloch, P. E. Crouch, D. D. Holm +1
In this paper we consider the Hamiltonian formulation of the equations of incompressible ideal fluid flow from the point of view of optimal control theory. The equations are compar…