40 citations · 47 across the 4 of their papers we have counts for
5 papers
Sensor Placement on a Cantilever Beam Using Observability Gramians
Natalie L. Brace, Nicholas B. Andrews, Jeremy Upsal +1
Working from an observability characterization based on output energy sensitivity to changes in initial conditions, we derive both analytical and empirical observability Gramian to…
Modulational instability of periodic standing waves in the derivative NLS equation
Jinbing Chen, Dmitry E. Pelinovsky, Jeremy Upsal
We consider the periodic standing waves in the derivative nonlinear Schrodinger (DNLS) equation arising in plasma physics. By using a newly developed algebraic method with two eige…
Real Lax spectrum implies spectral stability
Jeremy Upsal, Bernard Deconinck
We consider the dynamical stability of periodic solutions of integrable equations with 2x2 Lax pairs. We construct the eigenfunctions and hence the Floquet discriminant for such La…
The orbital stability of elliptic solutions of the Focusing Nonlinear Schrödinger Equation
Bernard Deconinck, Jeremy Upsal
We examine the stability of the elliptic solutions of the focusing nonlinear Schrödinger equation (NLS) with respect to subharmonic perturbations. Using the integrability of NLS, w…
On the nonintegrability of equations for long- and short-wave interactions
Bernard Deconinck, Jeremy Upsal
We examine the integrability of two models used for the interaction of long and short waves in dispersive media. One is more classical but arguably cannot be derived from the under…