Experiment: Gray-Scott Moire Feed-Kill Window

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Gray-Scott Moire Feed-Kill Window

Category: Nonlinear Dyn.

Summary: Comparing whether weak detuning between feed and kill modulations creates a more interface-rich mixed phase than either zero or strong detuning in Gray-Scott dynamics.


Near the boundary between labyrinthine and spotted Gray-Scott patterns, weak spatial detuning can create moire-scale interference between competing forcing wavelengths. This experiment asks whether that interference preserves a mixed, interface-rich regime better than either perfectly matched forcing or strongly mismatched forcing does.

The script performs GPU-aware reaction-diffusion sweeps over forcing amplitude and wavelength detuning, then aggregates interface density, anisotropy, mixedness, and active-area statistics across trials. The key comparison is whether intermediate detuning at moderate forcing produces a nonmonotone excess of interfacial structure and improved isotropy.

That framing treats moire interference as a control mechanism for pattern selection rather than a visual curiosity. The result helps show whether weak mismatch can stabilize mixed pattern states that would otherwise collapse into cleaner, less diverse structures.

Method: GPU-accelerated Gray-Scott sweeps across feed-kill forcing amplitudes and wavelength detuning, summarized over repeated finite-time trials.

What is measured: Interface density, spectral anisotropy, active fraction, mixedness, best detuning, and intermediate-detuning interface excess.


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