Bi-Stable Spiral Waves: Stepped Spiral Waves

摘要

A new type of bi-stable spiral waves called “stepped spiral waves”, is investigated in this study in an oscillatory medium exhibiting period-doubling bifurcations. Prior to the period-doubling bifurcation of this system, the st epped spiral waves are produced by an unwanted phase trajectory event; the loss of symmetry takes the form of synchronization defect lines, where the trajectory in the local oscillation phase space changes into two different ways. The formation principle of this type of bi-stable spiral wave and the internal structure and geometry of these synchronization defects are studied, and several potential categories of stepped spiral waves are discussed.