PDE (Partial Differential Equations) Models for Combat: Potential Applications to LIC (Low Intensity Combat).

摘要

Acute or subdued conflict situations (ranging from fierce combat to peaceful competition) are modeled by using nonlinear partial differential equations that account for both temporal and spatial evolution of the system. One- and two-dimensional applications to conventional warfare are reported. The discretized version of the model resulting in a nonlinear map is used to investigate the chaotic aspects of a conflict situation. The comparison between our model and a wargame exercise yields excellent agreement and provides a strong validation basis for further developments. 19 refs., 6 figs.