Ermakov-Lewis angles for one-parameter supersymmetric families of Newtonian free damping modes

Abstract

We apply the Ermakov-Lewis procedure to the one-parameter damped modes \tilde{y} recently introduced by Rosu and Reyes, which are related to the common Newtonian free damping modes y by the general Riccati solution [H.C. Rosu and M. Reyes, Phys. Rev. E 57, 4850 (1998), physics/9707019]. In particular, we calculate and plot the angle quantities of this approach that can help to distinguish these modes from the common y modes

6 pages, twocolumn, 18 figs embedded, only first 9 published

References in corpus (2)

• Ermakov-Lewis dynamic invariants with some applications
• Riccati parameter modes from Newtonian free damping motion by supersymmetry

Cited by in corpus (5)

• Generalized Hamiltonian structures for Ermakov systems
• Ermakov Systems with Multiplicative Noise
• New integrability case for the Riccati equation
• Singular parametric oscillators from the one-parameter Darboux transformation of the classical harmonic oscillator
• Supersymmetric free-damped oscillators: Adaptive observer estimation of the Riccati parameter