𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Limiting phase trajectories and nonstationary resonance oscillations of the Duffing oscillator. Part 2. A dissipative oscillator

✍ Scribed by L.I. Manevitch; A.S. Kovaleva; E.L. Manevitch; D.S. Shepelev

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
422 KB
Volume
16
Category
Article
ISSN
1007-5704

No coin nor oath required. For personal study only.

✦ Synopsis

This paper extends the concept of limiting phase trajectories (LPT) to systems with dissipation. The Duffing oscillator with linear dissipation and periodic excitation is studied. Under condition of 1:1 resonance, we obtain an approximate analytic solution describing two stages of motion: at the first stage the trajectory is close to the non-dissipative LPT, while at the second stage the trajectory approaches stationary oscillations near the steady state.

πŸ“œ SIMILAR VOLUMES

Design, realization, and test of a 2.1-G
Design, realization, and test of a 2.1-GHz low-phase-noise oscillator based on BAW resonator
✍ Mingdong Li; S. Seok; N. Rolland; P.-A. Rolland πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 575 KB

## Abstract This article presents the design and the realization of a 2.1‐GHz low‐phase‐noise oscillator through a combination of bulk acoustic wave resonator and negative differential resistance circuit using STMicroelectronics 0.25‐μm BiCMOS technology. A new procedure that is based on the Kuroka

Frequency and phase control of the reson
Frequency and phase control of the resonance oscillations of a non-linear system under conditions of uncertainty
✍ A.S. Kovaleva πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 520 KB

A norm-bounded locally optimal control is constructed which minimizes the frequency and phase deviations from resonance in a non-linear system affected by bounded perturbations. It is shown that this control is independent of the form of the perturbation and the structure of the conservative part of