✦ LIBER ✦

Front dynamics in a delayed-feedback system with external forcing

✍ Scribed by Michel Nizette

Book ID: 104296793
Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 363 KB
Volume: 183
Category: Article
ISSN: 0167-2789
DOI: 10.1016/s0167-2789(03)00175-1

No coin nor oath required. For personal study only.

✦ Synopsis

A scalar nonlinear delay-differential equation of the kind arising in optically bistable systems is reduced, in some physically relevant limit, to a partial differential equation first, and then to a system of ordinary differential equations. These simplified equations are studied analytically. We describe the continuous deformation of periodic solutions from sine waves to square waves away from the oscillation threshold, and determine their stability. We also study the effect of a weak periodic modulation. It is found that a resonant forcing can stabilize a very large number of oscillation modes taking the form of square waves with missing front pairs.

📜 SIMILAR VOLUMES

Control of nonlinear dynamics in externa

Control of nonlinear dynamics in external-cavity VCSELs with delayed negative optoelectronic feedback

✍ Xiaofeng Li; Wei Pan; Bin Luo; Dong Ma 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 200 KB

Anomalous behavior of bifurcation in a s

Anomalous behavior of bifurcation in a system with delayed feedback

✍ Yong Zhao; Haida Wang; Yuping Huo 📂 Article 📅 1988 🏛 Elsevier Science 🌐 English ⚖ 284 KB

Self-similarity in a system with a short

✍ Liu Yaowen; Li Haibin; Zhao Hong; Wang Yinghai 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 210 KB

Using the Poincare section technique, we study in detail the dynamical behaviors of delay differential system and find a ńew type of solutions S in short-time delay feedback. Our numerical results remind us to deny the opinion that there are no i complex phenomena in short-time delay case. Many simi

Complex dynamics is abolished in delayed

Complex dynamics is abolished in delayed recurrent systems with distributed feedback times

✍ Andreas Thiel; Helmut Schwegler; Christian W. Eurich 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 232 KB 👁 1 views

Feedback and delays in neurological dise

Feedback and delays in neurological diseases: A modeling study using dynamical systems

✍ Anne Beuter; Jacques Bélair; Christiane Labrie; Jacques Bélair 📂 Article 📅 1993 🏛 Springer 🌐 English ⚖ 1015 KB

Antiphase dynamics in a multimode Fabry–

Antiphase dynamics in a multimode Fabry–Perot semiconductor laser with external feedback

✍ Paul Mandel; E.A Viktorov; C Masoller; M.S Torre 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 221 KB

In the context of the multimode Fabry-Perot generalization of the Lang-Kobayashi model describing a semiconductor with external feedback, we illustrate antiphase dynamics by showing examples of dynamical compensation in the periodic regime, multiple coexisting attractors in the LFF regime and in the