The Doppler Effect with input driven autowaves

Abstract

The autowave, which is a kind of nonlinear wave, is easy to generate but difficult to control its source on networks. This paper proposes a new configuration of a Cellular Nonlinear Network and special constant valued input patterns in order to generate autowaves and control its source. It is also shown in this paper that the Doppler Effect is still observed on autowaves with moving source. In this paper, the input pattern is moved continuously to keep the continuity of the autowave evolution. Autowaves can solve the path planning problem with known techniques. Furthermore, the Doppler Effect provides a feature about source's motion. Controlling the autowave source using only the inputs of the network is the novelty of this paper which increases the precision of tracking the source motion in CNN based path planning algorithms.