A Frequency-Speed Subsystem of the Barkley Model for Spiral Tip Identification via Deterministic Learning

Spiral tip can be considered as wave source of a spiral wave. A wave is sent out after the tip rotates one circle. Therefore, the dynamics of spiral tip is vital to understand the behavior of spiral waves. In this paper a new approach for identifying spiral tip dynamics via deterministic learning is proposed. First, a subsystem, which contains frequency and speed of a spiral tip's movement, is used to identify spiral tip. Second, dynamics of subsystem are identified using the deterministic learning theory. It is shown that spiral tip can be accurately identified by using the proposed approach. Numerical experiments are included to demonstrate the effectiveness of the proposed method.