Spiral chirality transition and tip splitting in oscillatory media with nonlocal couplings
School of Physics and Electronic Engineering, Xuzhou Normal University - Xuzhou 221116, China
2 School of Chemical Engineering, China University of Mining and Technology - Xuzhou 221008, China
3 Department of Physics and the Beijing-Hong Kong-Singapore Joint Center for Nonlinear and Complex Studies, Beijing Normal University - Beijing 100875, China
Accepted: 15 November 2010
The dynamic behavior of spirals and the spatiotemporal organization in nonlocally coupled oscillatory media are explored in terms of the coupled complex Ginzburg-Landau equations. Chirality transition and tip splitting of spiral wave are found. Both the dispersion relation analysis and numerical simulations reveal that the spiral chirality transition corresponds to a change of the sign of the wave number. Moreover, the underlying mechanism of spiral tip splitting is found to originate from the competition between the local and the nonlocal couplings. The tip splitting behavior and the near-core breakup of spiral wave are found to agree with experimental observations in Belousov-Zhabotinsky reactions.
PACS: 05.45.-a – Nonlinear dynamics and chaos / 82.40.Ck – Pattern formation in reactions with diffusion, flow and heat transfer
© EPLA, 2010