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Published on: February 13, 2018
Kinematics of spiral waves under feedback-related spatial gradients
Ningjie Wu1, Hongjun Gao, Heping Ying
1School of Mathematical Sciences, Nanjing Normal University, Nanjing, China. njwu@njnu.edu.cn
Abstract:
The kinematics of spiral waves with artificially constructed spatial excitability is numerically investigated in the Oregonator model. On an assumption that the rotation center of spiral's tip drifts at angle δ to the direction of a local gradient, a kinematic formula of motion of spiral's tip is derived. To test the formula, we have presented two forms of feedback-related spatial fields with radial gradients (RGs) and concentric circular gradients (CGs) both centering on a reference point. It is found that both rigidly rotating and meandering spiral waves are attracted to the reference point of an inward RG and a clockwise CG perturbation but moved away from it under an outward RG and a counterclockwise CG. Simulations of the drift-velocity formulas provide a quantitative testing of the numerical results.
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