<p>Adaptation to external perturbations via modulation of internal degrees of freedom is essential for survival in biological and engineered systems alike. This study investigates how traveling pulses in reaction-diffusion systems respond to spatial heterogeneities that act as external perturbations. We present a three-component reaction diffusion model that captures the competition between intrinsic instabilities — such as drift and Hopf bifurcations — and extrinsic instabilities arising from spatially varying parameters. The intrinsic robustness of the pulse is characterized by its distance to singularities, while the extrinsic perturbation strength is controlled by the height and shape of inhomogeneities in the medium. Through a reduced ODE model, we show that not only the strength but also the spatial configuration — specifically the slope or curvature — of heterogeneities crucially affects pulse dynamics. Interestingly, even when parameters ensure pulse stability in homogeneous media, spatial gradients can induce reflection, annihilation, or other outcomes — a phenomenon we term spatial tipping. Our results highlight the sensitivity of traveling patterns to the rate of change in heterogeneity and reveal critical thresholds beyond which adaptive propagation fails. This work provides new insights into the complex interplay between internal dynamics and external spatial structure in pattern-forming systems.</p>