Category: Nonlinear Dyn.

Summary: Testing whether opposite chirps in crossed feed and diffusion stripes increase isotropy and spectral richness near Schnakenberg Turing onset without destroying the main pattern peak.

Turing patterns can be steered by spatial forcing, but forcing that is too rigid may lock the pattern into a single preferred direction. This experiment asks whether applying mild opposite chirps to crossed feed and inhibitor-diffusion templates frustrates that locking just enough to produce more isotropic and spectrally rich patterns near the Schnakenberg instability onset.

The script performs GPU-aware parameter sweeps over chirped spatial templates and compares how the dominant Turing peak, isotropy, and spectral richness change as the chirp is strengthened. The proposed mechanism is that weak chirp broadens directional competition without fully washing out the instability.

That is different from standard periodic or anisotropic forcing studies, because the control knob is a crossed, opposite-sign chirp rather than a fixed stripe geometry. The experiment aims to map where pattern diversity is enhanced before the forcing becomes too broad and degrades peak quality.

Method: GPU-accelerated Schnakenberg reaction-diffusion simulations sweeping opposite-sign chirp in crossed feed and diffusion templates.

What is measured: Pattern isotropy, spectral richness, dominant Turing peak quality, dependence on chirp strength, and crossover location.