Spiral waves within a bistability parameter region of an excitable medium

Abstract Spiral waves are a well-known and intensively studied dynamic phenomenon in excitable media of various types. Most studies have considered an medium with single stable resting state. However, spiral can be maintained bistability. Our calculations, performed using the widely used Barkley model, clearly show that bistability region exhibit unique properties. For example, wave either rotate around core is unexcited state, or tip describes circular trajectory located inside excited region. The boundaries parameter regions positive ‘negative’ cores been defined numerically analytically evaluated. It also shown creation may depend on initial conditions, which leads to hysteresis waves. In addition, influence gradient flow dynamics wave, related tension scroll filaments three-dimensional medium, studied.