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The topic of interface effects in wave propagation has attracted greatattention due to their theoretical significance and practical importance. Inthis paper we study nonlinear oscillatory systems consisting of two mediaseparated by an interface, and find a novel phenomenon: interface can select atype of waves (ISWs). Under certain well defined parameter condition, thesewaves propagate in two different media with same frequency and same wavenumber; the interface of two media is transparent to these waves. The frequencyand wave number of these interface-selected waves (ISWs) are predictedexplicitly. Varying parameters from this parameter set, the wave numbers of twodomains become different, and the difference increases from zero continuouslyas the distance between the given parameters and this parameter set increasesfrom zero. It is found that ISWs can play crucial roles in practical problemsof wave competitions, e.g., ISWs can suppress spirals and antispirals.

Novel interface-selected waves and their influences on wave competitions