Unifying warfighting functions in mathematical modelling: combat, manoeuvre, and C2

The outcomes of warfare have rarely only been characterised by the quantity and quality individual combatant force elements. ability to manoeuvre adapt across elements through effective Command Control (C2) can allow smaller or weaker forces overcome an adversary with greater resource fire-power. In this paper, we combine classic Lanchester combat model Kuramoto-Sakaguchi for phase oscillators on a network create flexible Networked-Lanchester-C2 representation force-on-force military engagement. mathematical thus unifies three warfighting “functions”: fires, C2. We consider illustrative use-cases, show that analytical treatment reduced characterises global effects in full system. For inhomogeneous forces, observe appropriate balance between internal organisational coupling, manoeuvrability even lethality, be adaptive initially stronger adversary.