title: Waves spontaneously generated by heterogeneity in oscillatory media.
abstract: Wave propagation is an important characteristic for pattern formation and pattern dynamics. To date, various waves in homogeneous media have been investigated extensively and have been understood to a great extent. However, the wave behaviors in heterogeneous media have been studied and understood much less. In this work, we investigate waves that are spontaneously generated in one-dimensional heterogeneous oscillatory media governed by complex Ginzburg-Landau equations; the heterogeneity is modeled by multiple interacting homogeneous media with different system control parameters. Rich behaviors can be observed by varying the control parameters of the systems, whereas the behavior is incomparably simple in the homogeneous cases. These diverse behaviors can be fully understood and physically explained well based on three aspects: dispersion relation curves, driving-response relations, and wave competition rules in homogeneous systems. Possible applications of heterogeneity-generated waves are anticipated.
authors.affiliation: School of Systems Science, Beijing Normal University, Beijing 100875, P.R. China.
authors.forename: Xiaohua
authors.initials: X
authors.lastname: Cui
authors.affiliation: Department of Physics, South China University of Technology, Guangzhou 510641, P.R. China.
authors.forename: Xiaodong
authors.initials: X
authors.lastname: Huang
authors.affiliation: Department of physics, Beijing Normal University, Beijing 100075, P.R. China.
authors.forename: Gang
authors.initials: G
authors.lastname: Hu