All conflicts operate as dynamical systems. In complexity science, a dynamical system is a set of interconnected elements that influence one another over time to promote the emergence of a global state (such as war or peace), which in turn provides common meaning for the elements. In social conflict, the elements are specific thoughts, actions, and feelings relevant to the conflict, and the emergent higher‐order state is a generalized negative (or positive) view of the relationship and a readiness for like action (cf. Coleman, Vallacher, Nowak, & Bui‐Wrzosinska, 2007). Within this perspective, the proximate causes of intractable conflict (e.g., competition over scarce resources, ideological differences, protection of personal or group identity) mask a more fundamental tendency for the parties to the conflict to become locked into a destructive pattern of thought and action that resists change. This basic dynamic — the press for higher‐order coherence — provides a new perspective on conflict resolution: Rather than trying to solve the issues in dispute, peacemakers should focus on how to transform the system from the ensemble of dynamics perpetuating the conflict to a different coherent state that allows for benign (or positive) relations between the parties.