Wave competitions around interfaces of two oscillatory media.

Wave competition is an important phenomenon for pattern formation and pattern control, which are required in many practical applications. In this work we consider the competition of wave trains around interfaces of two one-dimensional oscillatory media, modeled by complex Ginzburg-Landau equations with different system control parameters. The wave trains are generated by pacings at two boundaries of the media. In the presence of both normal wave trains and antiwave trains, extremely rich phenomena can be observed by varying the control parameters of the systems. These rich behaviors can be fully understood and physically well explained, based on the competitions of three kinds of wave trains: the two wave trains generated by external pacings and the wave train generated internally at the interface.