Abstract:The paper analyzes the complexity of urban system from the aspects such as urban huge system's composing,evolution process and relation with exterior circumstance,etc.Because there are various complexities in urban system, the researching ways are also various. It depicts the complexity of the relatively stable subsystem and some aspects' evolution in urban system's running by analyzing position variable and estate variable and using the dynamic system's Hamiltonian systems and Liouville's theorem for reference. And it forms big and small chaos region which is non-linear under the resonance effect between urban inner and exterior disorder.
段汉明, 杨大伟. 城市系统复杂性的数学描述初探[J]. 人文地理, 2007, 22(3): 112-115,86.
DUAN Han-ming, YANG Da-wei. MATH CHARACTERIZATION OF THE COMPLEXITY OF URBAN SYSTEM. HUMAN GEOGRAPHY, 2007, 22(3): 112-115,86.