Time-delayed-feedback control of pattern formation in symmetrical bistable media
arXiv:1004.2580 · doi:10.1063/1.3481101 10.1063/1.3481101 10.1063/1.3481101
Abstract
Effects of time-delayed-feedback on pattern formation are studied in symmetrical bistable media. The results show that the time delay alters the behavior of the front bifurcation remarkably. The critical point of the Nonequilibrium Ising-Bloch bifurcation is shifted, which results from the competition between the feedbacks of the two variables. The stability of the front to transverse perturbation is also changed by the time delay, leading to a transition between spiral and labyrinthine patterns. One can control the pattern formation in bistable media by using time-delayed-feedback.
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References in corpus (7)
- From Labyrinthine Patterns to Spiral Turbulence
- Complex Patterns in Reaction-Diffusion Systems: A Tale of Two Front Instabilities
- Interface Proliferation and the Growth of Labyrinths in a Reaction-Diffusion System
- Controlling the onset of traveling pulses in excitable media by nonlocal spatial coupling and time-delayed feedback
- The Dynamics of Curved Fronts: Beyond Geometry
- Order Parameter Equations for Front Transitions: Nonuniformly Curved Fronts
- Transformation between dense and sparse spirals in symmetrical bistable media