Publication | Closed Access
Traveling-Stripe Forcing Generates Hexagonal Patterns
49
Citations
14
References
2004
Year
EngineeringGeometryWave MotionWave TheoryDiscrete GeometryPeriodic Travelling WaveComputational GeometryBiophysicsGeometric ModelingPhysicsTuring Stripe PatternsCellular AutomatonPattern FormationCharacteristic Turing WavelengthNatural SciencesApplied PhysicsForcing VelocityNonlinear ResonanceNonlinear Oscillation
We study the response of Turing stripe patterns to a simple spatiotemporal forcing. This forcing has the form of a traveling wave and is spatially resonant with the characteristic Turing wavelength. Experiments conducted with the photosensitive chlorine dioxide-iodine-malonic acid reaction reveal a striking symmetry-breaking phenomenon of the intrinsic striped patterns giving rise to hexagonal lattices for intermediate values of the forcing velocity. The phenomenon is understood in the framework of the corresponding amplitude equations, which unveils a complex scenario of dynamical behaviors.
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