Self-similarity in a system with a short-time delayed feedback
β Scribed by Liu Yaowen; Li Haibin; Zhao Hong; Wang Yinghai
- Book ID
- 104337413
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 210 KB
- Volume
- 256
- Category
- Article
- ISSN
- 0375-9601
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β¦ Synopsis
Using the Poincare section technique, we study in detail the dynamical behaviors of delay differential system and find a Εew 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 similarities between the fundamental solution and the new type of solutions are found. We demonstrate that the scales of S increase with exponential growth via i in the direction of m, while i decrease with exponential decays in the direction of x or delay time t .
π SIMILAR VOLUMES
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 d