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 stepped 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.
Cite this paper
Gao, J. , Wang, Q. and Lv, H. (2017). Bi-Stable Spiral Waves: Stepped Spiral Waves. Open Access Library Journal, 4, e3982. doi: http://dx.doi.org/10.4236/oalib.1103982.
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