To alleviate the spectrum scarcity problem, the FCC has been suggested a brand new paradigm for dynamically accessing the allocated spectrum. Cognitive radio (CR) technology has emerged as a promising solution to realize dynamic spectrum access (DSA). With the capability of sensing the frequency bands in a time and locationvarying spectrum environment and adjusting the operating parameters based on the sensing outcome, CR technology allows an unlicensed user to exploit the licensed channels which are not used by licensed users in an opportunistic manner. In this research, an intelligent spectrum mobility and resource management frame-work in CR ad hoc networks is explored. In particular, five spectrum mobility and resource management issues in CR ad hoc networks are investigated: 1) global time synchronization in CR ad hoc networks; 2) spectrum sensing scheduling scheme to dif-ferentiate the signals from primary users (PUs) and secondary users (SUs); 3) power control scheme for concurrent transmissions of location-aware mobile cognitive radio ad hoc networks; 4) jointly power adaptation and spectrum handoff scheme in mobile cognitive radio networks; and 5) end-to-end congestion control scheme in multi-hop cognitive radio ad hoc networks. The contributions of the research include: 1) fundamentally solving the global time synchronization problem for the CR ad hoc network in a time and location-varying spectrum environment. 2) Joint power control, frequency selection, and spectrum handoff is proposed in mobile CR ad hoc network. 3) Upper layer spectrum sensing scheme can differentiate the signals from PUs and SUs. 4) The proposed end-to-end congestion control protocol can significantly enhance the transport layer of the CR ad hoc networks. To the best of our knowledge, this is the first work that comprehensively investigate the spectrum mobility and resource management issues from the physical layer to the transport layer in mobile CR ad hoc networks.