Transitions to Line-Defect Turbulence in Complex Oscillatory Media

Details Transitions to Line-Defect Turbulence in Complex Oscillatory Media Transitions to Line-Defect Turbulence in Complex Oscillatory Media

1999-04-12

arxiv.org/abs/chao-dyn/9904018v1

Nonlinear Sciences

Chaotic Dynamics

Submitted to Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.83.1878

The transition from complex-periodic to chaotic behavior is investigated in oscillatory media supporting spiral waves. We find turbulent regimes characterized by the spontaneous nucleation, proliferation and erratic motion of synchronization defect lines which separate domains of different oscillation phases. The line defect dynamics is controlled by the competition between diffusion, which reduces line length and curvature, and phase-gradient-induced growth. The onset of each type of defect-line turbulence is identified with a non-equilibrium phase transition characterized by non-trivial critical exponents.

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