中文摘要：

将此前已建立的描述复杂自适应系统动力学及其相变的理论做了进一步的推广，建立了更具实际意义的复杂自适应系统模型，并给出了其动力学演化和相变的一般理论．作为应用，对抛硬币游戏活动进行了数值模拟，并与相应的理论结果进行了对比．结果表明，两者符合很好．

英文摘要：

A new model of the complex adaptive systems is established, and the theory developed by the author on the kinetic evolution and phase transition of complex adaptive systems is extended to the general case, with which some more realistic complex adaptive systems may be described. As an application of the new model, we compare the simulation results of winning the toss with the corresponding theoretical one given in this paper. The theoretical results turn out to be in good accordance with the simulation.