Analysis of complex spatiotemporal behaviors in a time-delayed Chua's circuit

Issue title: Selected Papers from the 14th International Symposium on Applied Electromagnetics and Mechanics (ISEM 2009), Part I

Article type: Research Article

Authors: Zou, Jianlong^{a; *} | Chen, Feng^a | Ma, Xikui^a

Affiliations: [a] School of Electrical Engineering, Xi'an Jiaotong University, Shaanxi 710049, China

Correspondence: [*] Corresponding author: Jianlong Zou, Tel.: +86 2982668630 203; Fax: +86 2983237910; E-mail: [email protected]. edu.cn

Abstract: The time-delayed Chua's circuit (TDCC) is an infinite-dimensional electromagnetic system with boundary nonlinearity. An analytic nonlinear model is established for the TDCC. Through simulation, it has been revealed that complex spatiotemporal behaviors characterized by irregular space-time patterns may happen in the TDCC. These complex spatiotemporal behaviors result from the boundary nonlinearity and the space-time coupling. Moreover, it has been found that the initial values during one round-trip delay play an important role in the evolvements of spatiotemporal behaviors at the different locations of the transmission line.

Keywords: Time-delayed Chua's circuit, spatiotemporal pattern, boundary nonlinearity

DOI: 10.3233/JAE-2010-1135

Journal: International Journal of Applied Electromagnetics and Mechanics, vol. 33, no. 1-2, pp. 369-376, 2010